42234146972160
42,234,146,972,160 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42234146972160 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
42234146972160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42234146972160:
29 × 3 × 5 × 112 × 13 × 19 × 37 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 19 × 37 × 4973)See below for interesting mathematical facts about the number 42234146972160 from the Numbermatics database.
Names of 42234146972160
- Cardinal: 42234146972160 can be written as Forty-two trillion, two hundred thirty-four billion, one hundred forty-six million, nine hundred seventy-two thousand, one hundred sixty.
Scientific notation
- Scientific notation: 4.223414697216 × 1013
Factors of 42234146972160
Divisors of 42234146972160
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 32 33 37 38 39 40 44 48 52 55 57 60 64 65 66 74 76 78 80 88 95 96 104 110 111 114 120 121 128 130 132 143 148 152 156 160 165 176 185 190 192 195 208 209 220 222 228 240 242 247 256 260 264 285 286 296 304 312 320 330 352 363 370 380 384 390 407 416 418 429 440 444 456 480 481 484 494 512 520 528 555 570 572 592 605 608 624 627 640 660 703 704 715 726 740 741 760 768 780 814 832 836 858 880 888 912 960 962 968 988 1040 1045 1056 1110 1140 1144 1184 1210 1216 1221 1235 1248 1254 1280 1320 1406 1408 1430 1443 1452 1480 1482 1520 1536 1560 1573 1628 1664 1672 1716 1760 1776 1815 1824 1920 1924 1936 1976 2035 2080 2090 2109 2112 2145 2220 2280 2288 2299 2368 2405 2420 2432 2442 2470 2496 2508 2560 2640 2717 2812 2816 2860 2886 2904 2960 2964 3040 3120 3135 3146 3256 3328 3344 3432 3515 3520 3552 3630 3648 3705 3840 3848 3872 3952 4070 4160 4180 4218 4224 4290 4440 4477 4560 4576 4598 4719 4736 4810 4840 4864 4884 4940 4973 4992 5016 5280 5291 5434 5624 5632 5720 5772 5808 5920 5928 6080 6105 6240 6270 6292 6512 6656 6688 6864 6897 7030 7040 7104 7215 7260 7296 7410 7680 7696 7733 7744 7865 7904 8140 8151 8320 8360 8436 8448 8580 8880 8954 9120 9139 9152 9196 9438 9472 9620 9680 9728 9768 9880 9946 9984 10032 10545 10560 10582 10868 11248 11440 11495 11544 11616 11840 11856 12160 12210 12480 12540 12584 13024 13376 13431 13585 13728 13794 14060 14080 14208 14430 14520 14592 14820 14919 15392 15466 15488 15730 15808 15873 16280 16302 16640 16720 16872 16896 17160 17760 17908 18240 18278 18304 18392 18876 18944 19240 19360 19536 19760 19892 19968 20064 21090 21120 21164 21736 22385 22496 22880 22990 23088 23199 23232 23595 23680 23712 24320 24420 24865 24960 25080 25168 26048 26455 26752 26862 27170 27417 27456 27588 28120 28160 28416 28860 29040 29184 29640 29838 29887 30784 30932 30976 31460 31616 31746 32560 32604 33280 33440 33744 34320 34485 35520 35816 36480 36556 36608 36784 37752 38480 38665 38720 39072 39520 39784 40128 40755 42180 42240 42328 43472 44770 44992 45695 45760 45980 46176 46398 46464 47190 47360 47424 48640 48840 49730 49920 50160 50336 52096 52910 53504 53724 54340 54703 54834 54912 55176 56240 56832 57720 58080 58201 59280 59676 59774 61568 61864 61952 62920 63232 63492 64649 65120 65208 66880 67155 67488 68640 68970 71040 71632 72960 73112 73216 73568 74595 75504 76960 77330 77440 78144 79040 79365 79568 80256 81510 84360 84480 84656 85063 86944 89540 89661 89984 91390 91520 91960 92352 92796 92928 94380 94487 94720 94848 97680 99460 99840 100320 100529 100672 104192 105820 107008 107448 108680 109406 109668 109824 110352 112480 115440 115995 116160 116402 118560 119352 119548 123136 123728 125840 126464 126984 129298 130240 130416 133760 134310 134976 137085 137280 137940 142080 143264 145920 146224 147136 149190 149435 151008 153920 154660 154880 156288 158080 158730 159136 160512 163020 164109 168720 169312 170126 173888 174603 179080 179322 179968 182780 183040 183920 184001 184704 185592 185856 188760 188974 189696 193947 195360 198920 200640 201058 201344 208384 211640 214896 217360 218812 219336 219648 220704 224960 230880 231990 232320 232804 237120 238704 239096 246272 247456 251680 253968 255189 258596 260480 260832 267520 268620 269952 273515 274170 274560 275880 283461 284160 286528 291005 292448 294272 298380 298870 301587 302016 307840 309320 309760 312576 316160 317460 318272 321024 323245 326040 328218 337440 338624 340252 347776 349206 358160 358644 359936 365560 366080 367840 368002 369408 371184 377520 377948 379392 387894 390720 397840 401280 402116 402688 423280 425315 429792 434720 437624 438672 441408 448305 449920 461760 463980 464640 465608 472435 474240 477408 478192 494912 502645 503360 507936 510378 517192 520960 521664 535040 537240 539904 547030 548340 549120 551760 552003 566922 573056 582010 584896 588544 596760 597740 601733 603174 604032 615680 618640 625152 632320 634920 636544 646490 652080 656436 674880 677248 680504 695552 698412 711139 716320 717288 731120 735680 736004 738816 742368 755040 755896 775788 781440 795680 802560 804232 805376 820545 846560 850630 859584 869440 873015 875248 877344 882816 896610 899840 920005 923520 927960 929280 931216 944870 948480 954816 956384 969735 989824 1005290 1006720 1015872 1020756 1034384 1039357 1041920 1043328 1074480 1079808 1094060 1096680 1098240 1103520 1104006 1105819 1133844 1146112 1164020 1169792 1177088 1193520 1195480 1203466 1206348 1208064 1228331 1231360 1237280 1269840 1273088 1275945 1292980 1304160 1312872 1349760 1354496 1361008 1391104 1396824 1417305 1422278 1432640 1434576 1462240 1471360 1472008 1484736 1507935 1510080 1511792 1551576 1562880 1591360 1605120 1608464 1641090 1693120 1701260 1719168 1738880 1746030 1750496 1754688 1765632 1793220 1799680 1805199 1840010 1847040 1855920 1862432 1889740 1896960 1909632 1912768 1939470 1979648 2010580 2013440 2024011 2031744 2041512 2068768 2078714 2086656 2133417 2148960 2188120 2193360 2207040 2208012 2211638 2267688 2292224 2328040 2339584 2387040 2390960 2392013 2406932 2412696 2416128 2456662 2474560 2539680 2546176 2551890 2585960 2608320 2625744 2699520 2708992 2722016 2760015 2793648 2834610 2844556 2865280 2869152 2924480 2942720 2944016 2969472 3008665 3015870 3020160 3023584 3103152 3118071 3125760 3182720 3216928 3282180 3317457 3386240 3402520 3438336 3477760 3492060 3496019 3500992 3509376 3531264 3555695 3586440 3610398 3680020 3684993 3694080 3711840 3724864 3779480 3819264 3825536 3878940 3959296 4021160 4026880 4048022 4063488 4083024 4137536 4157428 4173312 4266834 4297920 4376240 4386720 4414080 4416024 4423276 4535376 4656080 4679168 4774080 4781920 4784026 4813864 4825392 4913324 4949120 5079360 5103780 5171920 5196785 5216640 5251488 5399040 5444032 5520030 5529095 5587296 5669220 5689112 5730560 5738304 5848960 5885440 5888032 5938944 6017330 6031740 6040320 6047168 6072033 6141655 6206304 6236142 6365440 6433856 6564360 6634914 6772480 6805040 6876672 6955520 6984120 6992038 7001984 7018752 7111390 7172880 7176039 7220796 7360040 7369986 7423680 7449728 7558960 7638528 7651072 7757880 7822529 8042320 8096044 8126976 8166048 8275072 8314856 8533668 8595840 8752480 8773440 8828160 8832048 8846552 9025995 9070752 9312160 9548160 9563840 9568052 9627728 9650784 9826648 9898240 10120055 10158720 10207560 10343840 10393570 10433280 10488057 10502976 10667085 10888064 11040060 11058190 11174592 11338440 11378224 11432927 11461120 11476608 11697920 11776064 11877888 11960065 12034660 12063480 12080640 12094336 12144066 12283310 12412608 12472284 12730880 12867712 13128720 13269828 13511641 13544960 13610080 13968240 13984076 14003968 14037504 14222780 14345760 14352078 14441592 14720080 14739972 14847360 14899456 15117920 15302144 15515760 15590355 15645058 16084640 16192088 16332096 16550144 16587285 16629712 17067336 17191680 17480095 17504960 17546880 17656320 17664096 17693104 18051990 18141504 18424965 18624320 19096320 19127680 19136104 19255456 19301568 19653296 19796480 20240110 20317440 20415120 20687680 20787140 20866560 20976114 21005952 21334170 21776128 22080120 22116380 22264121 22349184 22676880 22756448 22865854 22953216 23395840 23467587 23552128 23920130 24069320 24126960 24188672 24288132 24566620 24825216 24944568 25735424 26257440 26312143 26539656 27023282 27220160 27936480 27968152 28007936 28445560 28691520 28704156 28883184 29440160 29479944 29694720 29798912 30235840 30360165 31031520 31180710 31290116 32169280 32384176 32664192 33100288 33174570 33259424 34134672 34298781 34383360 34960190 35009920 35093760 35328192 35386208 35880195 36103980 36283008 36849930 37248640 38192640 38255360 38272208 38456209 38510912 38603136 39112645 39306592 40480220 40534923 40634880 40830240 41375360 41574280 41952228 42011904 42668340 43552256 44160240 44232760 44528242 44698368 45353760 45448247 45512896 45731708 45906432 46935174 47104256 47840260 48138640 48253920 48377344 48576264 49133240 49650432 49889136 51470848 52440285 52514880 52624286 53079312 54046564 54440320 55872960 55936304 56891120 57164635 57383040 57408312 57766368 58880320 58959888 59389440 60471680 60720330 62063040 62361420 62580232 64338560 64768352 65328384 66349140 66518848 66792363 67558205 68269344 68597562 69920380 70019840 70187520 70656384 70772416 71760390 72207960 72566016 73699860 74497280 76510720 76544416 76912418 77021824 77206272 78225290 78613184 78936429 80960440 81069846 81660480 82750720 83148560 83904456 84023808 85336680 88320480 88465520 89056484 89396736 90707520 90896494 91025792 91463416 93870348 94208512 95680520 96277280 96507840 97152528 98266480 99300864 99778272 104880570 105029760 105248572 106158624 108093128 108880640 111320605 111745920 111872608 113782240 114329270 114766080 114816624 115368627 115532736 117337935 117760640 117919776 120943360 121440660 124126080 124722840 125160464 128677120 129536704 130656768 131560715 132698280 133037696 133584726 135116410 136344741 136538688 137195124 139840760 140039680 141312768 141544832 143520780 144415920 145132032 147399720 148628051 148994560 153088832 153824836 154043648 154412544 156450580 157226368 157872858 161920880 162139692 163320960 165501440 166297120 167808912 170673360 171493905 176640960 176931040 178112968 181415040 181792988 182051584 182926832 187740696 191361040 192281045 192554560 193015680 194305056 196532960 199556544 202674615 209761140 210059520 210497144 212317248 216186256 217761280 222641210 223491840 223745216 227241235 227564480 228658540 229532160 229633248 230737254 231065472 234675870 235521280 235839552 241886720 242881320 248252160 249445680 250320928 257354240 259073408 263121430 265396560 266075392 267169452 270232820 272689482 273077376 274390248 279681520 282625536 283089664 287041560 288831840 289433573 294799440 297256102 306177664 307649672 308087296 312901160 314452736 315745716 323841760 324279384 326641920 332594240 333961815 335617824 341346720 342987810 353281920 353862080 356225936 362830080 363585976 364103168 365853664 375481392 382722080 384562090 385109120 386031360 388610112 393065920 394682145 399113088 405349230 419522280 420119040 420994288 423018299 424634496 432372512 445282420 445884153 446983680 447490432 454482470 455128960 457317080 459266496 461474508 462130944 469351740 471042560 471679104 485762640 496504320 498891360 499930717 500641856 518146816 526242860 530793120 532150784 534338904 540465640 545378964 546154752 548780496 559363040 566179328 574083120 576843135 577663680 578867146 589598880 594512204 612355328 615299344 625802320 628905472 631491432 647683520 648558768 653283840 665188480 667923630 671235648 681723705 682693440 685975620 706563840 707724160 712451872 725660160 727171952 731707328 743140255 750962784 765444160 769124180 770218240 772062720 777220224 786131840 789364290 798226176 810698460 839044560 841988576 846036598 849268992 864745024 868300719 890564840 891768306 894980864 908964940 910257920 914634160 918532992 922949016 924261888 938703480 943358208 971525280 997782720 999861434 1001283712 1036293632 1052485720 1061586240 1068677808 1080931280 1090757928 1092309504 1097560992 1118726080 1148166240 1153686270 1155327360 1157734292 1179197760 1189024408 1224710656 1230598688 1251604640 1262982864 1269054897 1295367040 1297117536 1330376960 1335847260 1342471296 1363447410 1365386880 1371951240 1413127680 1415448320 1424903744 1447167865 1454343904 1463414656 1486280510 1499792151 1501925568 1530888320 1538248360 1540436480 1554440448 1572263680 1578728580 1596452352 1621396920 1678089120 1683977152 1692073196 1698537984 1729490048 1736601438 1781129680 1783536612 1789961728 1817929880 1820515840 1829268320 1837065984 1845898032 1877406960 1886716416 1943050560 1995565440 1999722868 2002567424 2104971440 2115091495 2123172480 2137355616 2161862560 2181515856 2195121984 2229420765 2237452160 2296332480 2307372540 2310654720 2315468584 2358395520 2378048816 2461197376 2499653585 2503209280 2525965728 2538109794 2590734080 2594235072 2660753920 2671694520 2684942592 2726894820 2730773760 2743902480 2830896640 2849807488 2894335730 2908687808 2926829312 2972561020 2999584302 3003851136 3061776640 3076496720 3108880896 3144527360 3157457160 3242793840 3356178240 3367954304 3384146392 3458980096 3473202876 3562259360 3567073224 3635859760 3658536640 3674131968 3691796064 3754813920 3886101120 3991130880 3999445736 4005134848 4209942880 4230182990 4246344960 4274711232 4323725120 4341503595 4363031712 4390243968 4458841530 4474904320 4592664960 4614745080 4621309440 4630937168 4716791040 4756097632 4922394752 4999307170 5006418560 5051931456 5076219588 5181468160 5188470144 5343389040 5369885184 5453789640 5461547520 5487804960 5499237887 5699614976 5788671460 5817375616 5853658624 5945122040 5999168604 6007702272 6123553280 6152993440 6314914320 6345274485 6485587680 6712356480 6735908608 6768292784 6917960192 6946405752 7124518720 7134146448 7271719520 7317073280 7383592128 7498960755 7509627840 7772202240 7982261760 7998891472 8419885760 8460365980 8492689920 8549422464 8647450240 8683007190 8726063424 8780487936 8917683060 8949808640 9185329920 9229490160 9261874336 9433582080 9512195264 9844789504 9998614340 10012837120 10103862912 10152439176 10376940288 10686778080 10907579280 10975609920 10998475774 11399229952 11577342920 11634751232 11890244080 11998337208 12015404544 12305986880 12629828640 12690548970 12971175360 13424712960 13471817216 13536585568 13892811504 14249037440 14268292896 14543439040 14634146560 14767184256 14997921510 15019255680 15544404480 15997782944 16497713661 16839771520 16920731960 17098844928 17294900480 17366014380 17452126848 17560975872 17835366120 18370659840 18458980320 18523748672 19024390528 19689579008 19997228680 20025674240 20207725824 20304878352 20753880576 21373556160 21815158560 21951219840 21996951548 23154685840 23269502464 23780488160 23996674416 24611973760 25259657280 25381097940 25942350720 26849425920 27073171136 27496189435 27785623008 28498074880 28536585792 29086878080 29268293120 29534368512 29995843020 30038511360 31995565888 32995427322 33679543040 33841463920 34197689856 34589800960 34732028760 34904253696 35670732240 36917960640 37047497344 38048781056 39994457360 40415451648 40609756704 42747112320 43630317120 43902439680 43993903096 46309371680 47560976320 47993348832 49223947520 50519314560 50762195880 51884701440 54146342272 54992378870 55571246016 56996149760 57073171584 58173756160 59068737024 59991686040 60077022720 63991131776 65990854644 67359086080 67682927840 69464057520 69808507392 71341464480 73835921280 74094994688 76097562112 79988914720 81219513408 82488568305 85494224640 87260634240 87804879360 87987806192 92618743360 95121952640 95986697664 98447895040 101038629120 101524391760 103769402880 108292684544 109984757740 111142492032 114146343168 116347512320 119983372080 127982263552 131981709288 135365855680 138928115040 142682928960 147671842560 148189989376 159977829440 162439026816 164977136610 170988449280 174521268480 175975612384 185237486720 190243905280 191973395328 202077258240 203048783520 216585369088 219969515480 222284984064 228292686336 239966744160 255964527104 263963418576 270731711360 277856230080 285365857920 295343685120 319955658880 324878053632 329954273220 349042536960 351951224768 370474973440 380487810560 383946790656 406097567040 439939030960 444569968128 479933488320 527926837152 541463422720 555712460160 570731715840 639911317760 649756107264 659908546440 703902449536 740949946880 767893581312 812195134080 879878061920 959866976640 1055853674304 1082926845440 1111424920320 1141463431680 1279822635520 1319817092880 1407804899072 1624390268160 1759756123840 1919733953280 2111707348608 2222849840640 2639634185760 2815609798144 3248780536320 3519512247680 3839467906560 4223414697216 5279268371520 7039024495360 8446829394432 10558536743040 14078048990720 21117073486080 42234146972160
- Sum of all divisors σ(n): 172816786517760
- Sum of proper divisors (its aliquot sum) s(n): 130582639545600
- 42234146972160 is an abundant number, because the sum of its proper divisors (130582639545600) is greater than itself. Its abundance is 88348492573440
Bases of 42234146972160
- Binary: 10011001101001011001110101001111100010000000002
- Hexadecimal: 0x26696753E200
- Base-36: EYY3KNJEO
Squares and roots of 42234146972160
- 42234146972160 squared (422341469721602) is 1783723170466011695815065600
- 42234146972160 cubed (422341469721603) is 75334026539108743398998999753551773696000
-
The
square root of 42234146972160 is 6498780.4219068673 -
The
cube root of 42234146972160 is 34824.7421076839
Scales and comparisons
How big is 42234146972160?- 42,234,146,972,160 seconds is equal to 1,342,915 years, 12 weeks, 1 day, 12 hours, 16 minutes.
-
To count from 1 to 42,234,146,972,160 would take you about three million, three hundred fifty-seven thousand, two hundred eighty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42234146972160 cubic inches would be around 2902.1 feet tall.
Recreational maths with 42234146972160
- 42234146972160 backwards is 06127964143224
- The number of decimal digits it has is: 14
- The sum of 42234146972160's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42234146972160 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 42234146972160 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42234146972160/
Chicago style:
Numbermatics. 2024. "Number 42234146972160 - Facts about the integer". https://numbermatics.com/n/42234146972160/
The information we have on file for 42234146972160 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42234146972160, math, Factors of 42234146972160, curriculum, school, college, exams, university, Prime factorization of 42234146972160, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred thirty-four billion, one hundred forty-six million, nine hundred seventy-two thousand, one hundred sixty.