4742057488896
4,742,057,488,896 is an even composite number composed of seven prime numbers multiplied together.
4742057488896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 4742057488896:
29 × 35 × 7 × 13 × 31 × 59 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 31 × 59 × 229)See below for interesting mathematical facts about the number 4742057488896 from the Numbermatics database.
Names of 4742057488896
- Cardinal: 4742057488896 can be written as Four trillion, seven hundred forty-two billion, fifty-seven million, four hundred eighty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 4.742057488896 × 1012
Factors of 4742057488896
Divisors of 4742057488896
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 52 54 56 59 62 63 64 72 78 81 84 91 93 96 104 108 112 117 118 124 126 128 144 156 162 168 177 182 186 189 192 208 216 217 224 229 234 236 243 248 252 256 273 279 288 312 324 336 351 354 364 372 378 384 403 413 416 432 434 448 458 468 472 486 496 504 512 531 546 558 567 576 624 648 651 672 687 702 708 728 744 756 767 768 806 819 826 832 837 864 868 896 916 936 944 972 992 1008 1053 1062 1092 1116 1134 1152 1209 1239 1248 1296 1302 1344 1374 1404 1416 1456 1488 1512 1534 1536 1593 1603 1612 1638 1652 1664 1674 1701 1728 1736 1792 1829 1832 1872 1888 1944 1953 1984 2016 2061 2106 2124 2184 2232 2268 2301 2304 2418 2457 2478 2496 2511 2592 2604 2688 2748 2808 2821 2832 2912 2976 2977 3024 3068 3159 3186 3206 3224 3276 3304 3328 3348 3402 3456 3472 3584 3627 3658 3664 3717 3744 3776 3888 3906 3968 4032 4122 4212 4248 4368 4464 4536 4602 4608 4779 4809 4836 4914 4956 4992 5022 5184 5208 5369 5376 5487 5496 5616 5642 5664 5824 5859 5952 5954 6048 6136 6183 6318 6372 6412 6448 6552 6608 6656 6696 6804 6903 6912 6944 7099 7254 7316 7328 7371 7434 7488 7533 7552 7776 7812 7936 8064 8244 8424 8463 8496 8736 8928 8931 9072 9204 9558 9618 9672 9828 9912 9984 10044 10368 10416 10738 10752 10881 10974 10992 11151 11232 11284 11328 11648 11718 11904 11908 12096 12272 12366 12636 12744 12803 12824 12896 13104 13216 13392 13511 13608 13806 13824 13888 14198 14337 14427 14508 14632 14656 14742 14868 14976 15066 15104 15552 15624 15872 16107 16128 16461 16488 16848 16926 16992 17472 17577 17856 17862 18144 18408 18549 19116 19236 19344 19656 19824 19968 20088 20709 20736 20832 20839 21297 21476 21762 21948 21984 22113 22302 22464 22568 22656 23296 23436 23777 23808 23816 24192 24544 24732 25272 25389 25488 25606 25648 25792 26208 26432 26784 26793 27022 27216 27612 27776 28396 28674 28854 29016 29264 29312 29484 29736 29952 30132 30208 31104 31248 32214 32256 32643 32922 32976 33453 33696 33852 33984 34944 35154 35712 35724 36288 36816 37098 38232 38409 38472 38688 39312 39648 40176 40533 41418 41472 41664 41678 42594 42952 43281 43524 43896 43968 44226 44604 44928 45136 45312 46592 46872 47554 47616 47632 48321 48384 49088 49383 49464 49693 50544 50778 50976 51212 51296 51584 52416 52731 52864 53568 53586 54044 54432 55224 55552 55647 56792 57348 57708 58032 58528 58624 58968 59472 59904 60264 62127 62208 62496 62517 63891 64428 65286 65844 65952 66906 67392 67704 67968 69888 70308 71331 71424 71448 72576 73632 74196 76167 76464 76818 76944 77376 78624 79296 80352 80379 81066 82836 83328 83356 85188 85904 86562 87048 87792 87936 88452 89208 89856 90272 90624 92287 93744 94577 95108 95264 96642 96768 97929 98176 98766 98928 99386 100359 101088 101556 101952 102424 102592 103168 104832 105462 105728 107136 107172 108088 108864 110448 111104 111294 113584 114696 115227 115416 116064 117056 117248 117936 118944 120528 121599 124254 124416 124992 125034 127782 128856 129843 130572 131688 131904 133812 134784 135408 135936 139776 140616 142662 142848 142896 144963 145152 147264 148149 148392 149079 152334 152928 153636 153888 154752 157248 158592 160704 160758 162132 165672 166439 166656 166712 170376 171808 173124 174096 175584 175643 175872 176904 178416 179712 180544 184574 186381 187488 187551 189154 190216 190528 191673 193284 195858 196352 197532 197856 198772 200718 202176 203112 203904 204848 205184 206336 209664 210924 211456 213993 214272 214344 216176 217728 220896 222588 227168 228501 229392 230454 230832 232128 234112 235872 237888 241056 241137 243198 248508 249984 250068 255564 257712 259686 261144 263376 263808 267624 269568 270816 271872 276861 281232 283731 285324 285792 289926 290304 294528 296298 296784 298158 304668 305856 307272 307776 309504 314496 317184 321408 321516 324264 331344 332878 333312 333424 340752 343616 345681 346248 348192 351168 351286 351744 353808 356832 361088 364797 369148 372762 374976 375102 378308 380432 381056 383346 386568 389529 391716 392704 395064 395712 397544 401436 404352 406224 407808 409696 410368 418841 419328 421848 427986 428544 428688 432352 434889 435456 441792 444447 445176 447237 454336 457002 458784 460908 461664 464256 468224 471744 475776 482112 482274 486396 497016 499317 499968 500136 511128 515424 519372 522288 526752 526929 527616 535248 539136 541632 553722 562464 562653 567462 570648 571584 575019 579852 589056 592596 593568 596316 609336 611712 614544 615552 619008 628992 634368 641979 642816 643032 646009 648528 662688 665756 666848 681504 685503 687232 691362 692496 696384 702336 702572 707616 713664 722176 723411 729594 738296 745524 749952 750204 756616 760864 762112 766692 773136 779058 783432 790128 791424 795088 802872 808704 812448 815616 819392 820736 830583 837682 843696 851193 855972 857376 864704 869778 870912 883584 888894 890352 894474 908672 914004 917568 921816 923328 928512 936448 943488 951552 964224 964548 972792 994032 998634 999936 1000272 1022256 1030848 1037043 1038744 1044576 1053504 1053858 1055232 1070496 1083264 1094391 1107444 1124928 1125306 1134924 1141296 1143168 1150038 1159704 1178112 1185192 1187136 1192632 1218672 1223424 1229088 1229501 1231104 1256523 1257984 1283958 1285632 1286064 1292018 1297056 1304667 1325376 1331512 1333696 1341711 1363008 1371006 1374464 1382724 1384992 1392768 1404672 1405144 1415232 1427328 1444352 1446822 1459188 1476592 1491048 1497951 1499904 1500408 1513232 1521728 1524224 1533384 1546272 1558116 1566864 1580256 1580787 1582848 1590176 1605744 1617408 1624896 1638784 1661166 1675364 1687392 1687959 1702386 1711944 1714752 1725057 1729408 1739556 1767168 1777788 1780704 1788948 1817344 1828008 1835136 1843632 1846656 1857024 1886976 1903104 1925937 1928448 1929096 1938027 1945584 1988064 1997268 2000544 2044512 2061696 2074086 2077488 2089152 2107008 2107716 2140992 2166528 2188782 2214888 2249856 2250612 2269848 2282592 2286336 2300076 2319408 2370384 2374272 2385264 2437344 2446848 2458176 2459002 2462208 2491749 2513046 2553579 2567916 2572128 2584036 2594112 2609334 2650752 2663024 2667392 2683422 2726016 2742012 2748928 2765448 2769984 2785536 2809344 2810288 2830464 2854656 2893644 2918376 2931887 2953184 2982096 2995902 2999808 3000816 3026464 3043456 3066768 3092544 3111129 3116232 3133728 3160512 3161574 3165696 3180352 3211488 3249792 3277568 3283173 3322332 3350728 3374784 3375918 3404772 3423888 3429504 3450114 3458816 3479112 3534336 3555576 3561408 3577896 3634688 3656016 3670272 3687264 3688503 3693312 3769569 3773952 3851874 3856896 3858192 3876054 3891168 3976128 3994536 4001088 4025133 4089024 4123392 4148172 4154976 4178304 4214016 4215432 4281984 4333056 4377564 4429776 4493853 4499712 4501224 4539696 4565184 4572672 4600152 4638816 4740768 4742361 4748544 4770528 4874688 4916352 4918004 4983498 5026092 5063877 5107158 5135832 5144256 5168072 5188224 5218668 5301504 5326048 5334784 5366844 5444933 5452032 5484024 5530896 5539968 5571072 5620576 5660928 5709312 5777811 5787288 5814081 5836752 5863774 5906368 5964192 5991804 6001632 6052928 6086912 6133536 6185088 6222258 6232464 6267456 6321024 6323148 6360704 6422976 6499584 6555136 6566346 6644664 6701456 6749568 6751836 6809544 6847776 6859008 6900228 6917632 6958224 7111152 7122816 7155792 7312032 7340544 7374528 7377006 7386624 7475247 7539138 7660737 7703748 7716384 7752108 7782336 7952256 7989072 8002176 8050266 8178048 8246784 8296344 8309952 8356608 8428032 8430864 8563968 8755128 8795661 8859552 8987706 8999424 9002448 9079392 9130368 9200304 9277632 9481536 9484722 9497088 9541056 9749376 9832704 9836008 9966996 10052184 10127754 10214316 10271664 10288512 10336144 10376448 10437336 10603008 10652096 10669568 10733688 10889866 10904064 10968048 11061792 11065509 11079936 11241152 11308707 11321856 11555622 11574576 11628162 11673504 11727548 11812736 11928384 11983608 12003264 12075399 12105856 12173824 12267072 12370176 12444516 12464928 12534912 12642048 12646296 12721408 12845952 12999168 13132692 13289328 13402912 13481559 13499136 13503672 13619088 13695552 13718016 13800456 13916448 14222304 14227083 14245632 14311584 14624064 14749056 14754012 14950494 15078276 15321474 15407496 15432768 15504216 15564672 15904512 15978144 16004352 16100532 16334799 16356096 16592688 16619904 16713216 16861728 17127936 17442243 17510256 17591322 17719104 17975412 18004896 18158784 18260736 18400608 18555264 18963072 18969444 19082112 19498752 19665408 19672016 19933992 20104368 20255508 20428632 20543328 20577024 20672288 20752896 20874672 21304192 21467376 21779732 21936096 22123584 22131018 22159872 22425741 22482304 22617414 22982211 23111244 23149152 23256324 23347008 23455096 23625472 23856768 23967216 24006528 24150798 24211712 24534144 24740352 24889032 24929856 25069824 25284096 25292592 25442816 25691904 26265384 26386983 26578656 26805824 26963118 26998272 27007344 27238176 27391104 27600912 27832896 28444608 28454166 28491264 28623168 29248128 29498112 29508024 29900988 30156552 30642948 30814992 30865536 31008432 31129344 31809024 31956288 32008704 32201064 32669598 32712192 33185376 33196527 33239808 33723456 33926121 34884486 35020512 35182644 35438208 35950824 36009792 36317568 36521472 36801216 37110528 37926144 37938888 38114531 38164224 38997504 39344032 39867984 40208736 40444677 40511016 40857264 41086656 41154048 41344576 41749344 42608384 42681249 42934752 43559464 43872192 44247168 44262036 44851482 44964608 45234828 45964422 46222488 46298304 46512648 46694016 46910192 47250944 47713536 47934432 48013056 48301596 48423424 49004397 49068288 49778064 49859712 50139648 50585184 51383808 52326729 52530768 52773966 53157312 53611648 53926236 54014688 54476352 54782208 55201824 55665792 56889216 56908332 57246336 58496256 58996224 59016048 59801976 60313104 61285896 61629984 61731072 62016864 62258688 63912576 64402128 65339196 66370752 66393054 66479616 67446912 67852242 69768972 70041024 70365288 70876416 71901648 72019584 72635136 73602432 74221056 75852288 75877776 76229062 76328448 78688064 79160949 79735968 80417472 80889354 81022032 81714528 82173312 82689152 83498688 85216768 85362498 85869504 87118928 87744384 88494336 88524072 89702964 89929216 90469656 91928844 92444976 92596608 93025296 93388032 93820384 95427072 95868864 96026112 96603192 98008794 98136576 99556128 99589581 99719424 101170368 101778363 104653458 105061536 105547932 106314624 107223296 107852472 108029376 108952704 109564416 110403648 111331584 113778432 113816664 114343593 114492672 116992512 118032096 119603952 120626208 122571792 123259968 123462144 124033728 127825152 128804256 130678392 132741504 132786108 134893824 135704484 139537944 140082048 140730576 141752832 143803296 144039168 145270272 147013191 147204864 151755552 152458124 156980187 157376128 158321898 159471936 160834944 161778708 162044064 163429056 164346624 165378304 166997376 170724996 171739008 174237856 175488768 176988672 177048144 179405928 180939312 183857688 184889952 185193216 186050592 186776064 187640768 191737728 193206384 196017588 199112256 199179162 199438848 202340736 203556726 209306916 210123072 211095864 212629248 214446592 215704944 216058752 217905408 220807296 222663168 227556864 227633328 228687186 228985344 236064192 237482847 239207904 241252416 245143584 246519936 248067456 255650304 257608512 261356784 265483008 265572216 269787648 271408968 279075888 280164096 281461152 287606592 288078336 294026382 294409728 298768743 303511104 304916248 313960374 314752256 316643796 318943872 321669888 323557416 324088128 326858112 328693248 330756608 333994752 341449992 343030779 343478016 348475712 350977536 354096288 358811856 361878624 367715376 369779904 370386432 372101184 375281536 383475456 386412768 392035176 398224512 398358324 404681472 407113452 418613832 420246144 422191728 425258496 431409888 432117504 435810816 441039573 441614592 455266656 457374372 472128384 474965694 478415808 482504832 490287168 493039872 496134912 515217024 522713568 530966016 531144432 542817936 558151776 560328192 562922304 575213184 588052764 597537486 607022208 609832496 627920748 629504512 633287592 637887744 643339776 647114832 648176256 653716224 667989504 682899984 686061558 686956032 696951424 708192576 712448541 717623712 723757248 735430752 739559808 744202368 750563072 766950912 772825536 784070352 796449024 796716648 809362944 814226904 837227664 840492288 844383456 862819776 864235008 882079146 883229184 910533312 914748744 944256768 949931388 956831616 965009664 980574336 986079744 992269824 1029092337 1030434048 1045427136 1062288864 1085635872 1116303552 1125844608 1150426368 1176105528 1195074972 1214044416 1219664992 1255841496 1266575184 1275775488 1294229664 1296352512 1307432448 1323118719 1365799968 1372123116 1393902848 1416385152 1424897082 1435247424 1447514496 1470861504 1479119616 1488404736 1501126144 1545651072 1568140704 1592898048 1593433296 1628453808 1674455328 1680984576 1688766912 1725639552 1764158292 1821066624 1829497488 1888513536 1899862776 1913663232 1930019328 1961148672 2058184674 2060868096 2090854272 2124577728 2171271744 2232607104 2251689216 2300852736 2352211056 2390149944 2428088832 2439329984 2511682992 2533150368 2588459328 2592705024 2646237438 2731599936 2744246232 2787805696 2832770304 2849794164 2870494848 2895028992 2941723008 2958239232 2976809472 3087277011 3091302144 3136281408 3186866592 3256907616 3348910656 3377533824 3451279104 3528316584 3642133248 3658994976 3799725552 3827326464 3922297344 4116369348 4181708544 4249155456 4342543488 4465214208 4503378432 4704422112 4780299888 4878659968 5023365984 5066300736 5176918656 5292474876 5463199872 5488492464 5665540608 5699588328 5740989696 5790057984 5883446016 6174554022 6182604288 6272562816 6373733184 6513815232 6697821312 6755067648 6902558208 7056633168 7284266496 7317989952 7599451104 8232738696 8363417088 8498310912 8685086976 8930428416 9261831033 9408844224 9560599776 9757319936 10046731968 10132601472 10353837312 10584949752 10926399744 10976984928 11399176656 11481979392 11766892032 12349108044 12545125632 12747466368 13027630464 13395642624 13510135296 14113266336 14635979904 15198902208 16465477392 16996621824 17370173952 18523662066 18817688448 19121199552 19514639872 20093463936 20265202944 20707674624 21169899504 21852799488 21953969856 22798353312 24698216088 25090251264 25494932736 26055260928 26791285248 28226532672 29271959808 30397804416 32930954784 37047324132 37635376896 38242399104 40186927872 40530405888 42339799008 43907939712 45596706624 49396432176 50989865472 52110521856 56453065344 58543919616 60795608832 65861909568 74094648264 75270753792 76484798208 80373855744 84679598016 87815879424 91193413248 98792864352 112906130688 121591217664 131723819136 148189296528 152969596416 169359196032 175631758848 182386826496 197585728704 225812261376 263447638272 296378593056 338718392064 364773652992 395171457408 526895276544 592757186112 677436784128 790342914816 1185514372224 1580685829632 2371028744448 4742057488896
- Sum of all divisors σ(n): 18417221222400
- Sum of proper divisors (its aliquot sum) s(n): 13675163733504
- 4742057488896 is an abundant number, because the sum of its proper divisors (13675163733504) is greater than itself. Its abundance is 8933106244608
Bases of 4742057488896
- Binary: 10001010000000110001010011011110010000000002
- Hexadecimal: 0x45018A6F200
- Base-36: 1OIGYLC00
Squares and roots of 4742057488896
- 4742057488896 squared (47420574888962) is 22487109227994637163298816
- 4742057488896 cubed (47420574888963) is 106635164718234318252347424092649947136
-
The
square root of 4742057488896 is 2177626.5724168595 -
The
cube root of 4742057488896 is 16800.5024992555
Scales and comparisons
How big is 4742057488896?- 4,742,057,488,896 seconds is equal to 150,782 years, 39 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 4,742,057,488,896 would take you about three hundred seventy-six thousand, nine hundred fifty-six 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 4742057488896 cubic inches would be around 1400 feet tall.
Recreational maths with 4742057488896
- 4742057488896 backwards is 6988847502474
- 4742057488896 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4742057488896's digits is 72
- More coming soon!
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"Number 4742057488896 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 4742057488896 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/4742057488896/
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The information we have on file for 4742057488896 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!
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