4142157004800
4,142,157,004,800 is an even composite number composed of four prime numbers multiplied together.
What does the number 4142157004800 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1368 divisors.
4142157004800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty-eight divisors.
Prime factorization of 4142157004800:
218 × 37 × 52 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17)See below for interesting mathematical facts about the number 4142157004800 from the Numbermatics database.
Names of 4142157004800
- Cardinal: 4142157004800 can be written as Four trillion, one hundred forty-two billion, one hundred fifty-seven million, four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.1421570048 × 1012
Factors of 4142157004800
Divisors of 4142157004800
- Number of divisors d(n): 1368
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 255 256 270 272 288 289 300 306 320 324 340 360 384 400 405 408 425 432 450 459 480 486 510 512 540 544 576 578 600 612 640 648 675 680 720 729 765 768 800 810 816 850 864 867 900 918 960 972 1020 1024 1080 1088 1152 1156 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1445 1458 1530 1536 1600 1620 1632 1700 1728 1734 1800 1836 1920 1944 2025 2040 2048 2160 2176 2187 2295 2304 2312 2400 2430 2448 2550 2560 2592 2601 2700 2720 2754 2880 2890 2916 3060 3072 3200 3240 3264 3400 3456 3468 3600 3645 3672 3825 3840 3888 4050 4080 4096 4131 4320 4335 4352 4374 4590 4608 4624 4800 4860 4896 5100 5120 5184 5202 5400 5440 5508 5760 5780 5832 6075 6120 6144 6400 6480 6528 6800 6885 6912 6936 7200 7225 7290 7344 7650 7680 7776 7803 8100 8160 8192 8262 8640 8670 8704 8748 9180 9216 9248 9600 9720 9792 10200 10240 10368 10404 10800 10880 10935 11016 11475 11520 11560 11664 12150 12240 12288 12393 12800 12960 13005 13056 13600 13770 13824 13872 14400 14450 14580 14688 15300 15360 15552 15606 16200 16320 16384 16524 17280 17340 17408 17496 18225 18360 18432 18496 19200 19440 19584 20400 20480 20655 20736 20808 21600 21675 21760 21870 22032 22950 23040 23120 23328 23409 24300 24480 24576 24786 25600 25920 26010 26112 27200 27540 27648 27744 28800 28900 29160 29376 30600 30720 31104 31212 32400 32640 32768 33048 34425 34560 34680 34816 34992 36450 36720 36864 36992 37179 38400 38880 39015 39168 40800 40960 41310 41472 41616 43200 43350 43520 43740 44064 45900 46080 46240 46656 46818 48600 48960 49152 49572 51200 51840 52020 52224 54400 54675 55080 55296 55488 57600 57800 58320 58752 61200 61440 61965 62208 62424 64800 65025 65280 65536 66096 68850 69120 69360 69632 69984 70227 72900 73440 73728 73984 74358 76800 77760 78030 78336 81600 81920 82620 82944 83232 86400 86700 87040 87480 88128 91800 92160 92480 93312 93636 97200 97920 98304 99144 102400 103275 103680 104040 104448 108800 109350 110160 110592 110976 115200 115600 116640 117045 117504 122400 122880 123930 124416 124848 129600 130050 130560 131072 132192 137700 138240 138720 139264 139968 140454 145800 146880 147456 147968 148716 153600 155520 156060 156672 163200 163840 165240 165888 166464 172800 173400 174080 174960 176256 183600 184320 184960 185895 186624 187272 194400 195075 195840 196608 198288 204800 206550 207360 208080 208896 210681 217600 218700 220320 221184 221952 230400 231200 233280 234090 235008 244800 245760 247860 248832 249696 259200 260100 261120 262144 264384 275400 276480 277440 278528 279936 280908 291600 293760 294912 295936 297432 307200 309825 311040 312120 313344 326400 327680 330480 331776 332928 345600 346800 348160 349920 351135 352512 367200 368640 369920 371790 373248 374544 388800 390150 391680 393216 396576 409600 413100 414720 416160 417792 421362 435200 437400 440640 442368 443904 460800 462400 466560 468180 470016 489600 491520 495720 497664 499392 518400 520200 522240 528768 550800 552960 554880 557056 559872 561816 583200 585225 587520 589824 591872 594864 614400 619650 622080 624240 626688 632043 652800 655360 660960 663552 665856 691200 693600 696320 699840 702270 705024 734400 737280 739840 743580 746496 749088 777600 780300 783360 786432 793152 819200 826200 829440 832320 835584 842724 870400 874800 881280 884736 887808 921600 924800 929475 933120 936360 940032 979200 983040 991440 995328 998784 1036800 1040400 1044480 1053405 1057536 1101600 1105920 1109760 1114112 1119744 1123632 1166400 1170450 1175040 1179648 1183744 1189728 1228800 1239300 1244160 1248480 1253376 1264086 1305600 1310720 1321920 1327104 1331712 1382400 1387200 1392640 1399680 1404540 1410048 1468800 1474560 1479680 1487160 1492992 1498176 1555200 1560600 1566720 1586304 1638400 1652400 1658880 1664640 1671168 1685448 1740800 1749600 1755675 1762560 1769472 1775616 1843200 1849600 1858950 1866240 1872720 1880064 1958400 1966080 1982880 1990656 1997568 2073600 2080800 2088960 2106810 2115072 2203200 2211840 2219520 2228224 2239488 2247264 2332800 2340900 2350080 2359296 2367488 2379456 2457600 2478600 2488320 2496960 2506752 2528172 2611200 2643840 2654208 2663424 2764800 2774400 2785280 2799360 2809080 2820096 2937600 2949120 2959360 2974320 2985984 2996352 3110400 3121200 3133440 3160215 3172608 3276800 3304800 3317760 3329280 3342336 3370896 3481600 3499200 3511350 3525120 3538944 3551232 3686400 3699200 3717900 3732480 3745440 3760128 3916800 3932160 3965760 3981312 3995136 4147200 4161600 4177920 4213620 4230144 4406400 4423680 4439040 4456448 4478976 4494528 4665600 4681800 4700160 4734976 4758912 4915200 4957200 4976640 4993920 5013504 5056344 5222400 5267025 5287680 5308416 5326848 5529600 5548800 5570560 5598720 5618160 5640192 5875200 5898240 5918720 5948640 5971968 5992704 6220800 6242400 6266880 6320430 6345216 6553600 6609600 6635520 6658560 6684672 6741792 6963200 6998400 7022700 7050240 7077888 7102464 7372800 7398400 7435800 7464960 7490880 7520256 7833600 7931520 7962624 7990272 8294400 8323200 8355840 8427240 8460288 8812800 8847360 8878080 8957952 8989056 9331200 9363600 9400320 9469952 9517824 9830400 9914400 9953280 9987840 10027008 10112688 10444800 10534050 10575360 10616832 10653696 11059200 11097600 11141120 11197440 11236320 11280384 11750400 11796480 11837440 11897280 11943936 11985408 12441600 12484800 12533760 12640860 12690432 13219200 13271040 13317120 13369344 13483584 13926400 13996800 14045400 14100480 14204928 14745600 14796800 14871600 14929920 14981760 15040512 15667200 15801075 15863040 15925248 15980544 16588800 16646400 16711680 16854480 16920576 17625600 17694720 17756160 17915904 17978112 18662400 18727200 18800640 18939904 19035648 19660800 19828800 19906560 19975680 20054016 20225376 20889600 21068100 21150720 21233664 21307392 22118400 22195200 22282240 22394880 22472640 22560768 23500800 23674880 23794560 23887872 23970816 24883200 24969600 25067520 25281720 25380864 26438400 26542080 26634240 26967168 27852800 27993600 28090800 28200960 28409856 29491200 29593600 29743200 29859840 29963520 30081024 31334400 31602150 31726080 31850496 31961088 33177600 33292800 33423360 33708960 33841152 35251200 35389440 35512320 35831808 35956224 37324800 37454400 37601280 37879808 38071296 39657600 39813120 39951360 40108032 40450752 41779200 42136200 42301440 42614784 44236800 44390400 44789760 44945280 45121536 47001600 47349760 47589120 47775744 47941632 49766400 49939200 50135040 50563440 50761728 52876800 53084160 53268480 53934336 55705600 55987200 56181600 56401920 56819712 58982400 59187200 59486400 59719680 59927040 60162048 62668800 63204300 63452160 63700992 63922176 66355200 66585600 66846720 67417920 67682304 70502400 71024640 71663616 71912448 74649600 74908800 75202560 75759616 76142592 79315200 79626240 79902720 80901504 83558400 84272400 84602880 85229568 88473600 88780800 89579520 89890560 90243072 94003200 94699520 95178240 95551488 95883264 99532800 99878400 100270080 101126880 101523456 105753600 106168320 106536960 107868672 111411200 111974400 112363200 112803840 113639424 118374400 118972800 119439360 119854080 120324096 125337600 126408600 126904320 127844352 132710400 133171200 134835840 135364608 141004800 142049280 143327232 143824896 149299200 149817600 150405120 152285184 158630400 159252480 159805440 161803008 167116800 168544800 169205760 170459136 176947200 177561600 179159040 179781120 180486144 188006400 189399040 190356480 191102976 191766528 199065600 199756800 200540160 202253760 203046912 211507200 213073920 215737344 223948800 224726400 225607680 227278848 236748800 237945600 238878720 239708160 250675200 252817200 253808640 255688704 265420800 266342400 269671680 270729216 282009600 284098560 286654464 287649792 298598400 299635200 300810240 304570368 317260800 318504960 319610880 323606016 334233600 337089600 338411520 340918272 355123200 358318080 359562240 360972288 376012800 378798080 380712960 383533056 398131200 399513600 404507520 406093824 423014400 426147840 431474688 447897600 449452800 451215360 473497600 475891200 477757440 479416320 501350400 505634400 507617280 511377408 530841600 532684800 539343360 541458432 564019200 568197120 573308928 575299584 597196800 599270400 601620480 609140736 634521600 639221760 647212032 674179200 676823040 681836544 710246400 716636160 719124480 752025600 761425920 767066112 796262400 799027200 809015040 812187648 846028800 852295680 862949376 895795200 898905600 902430720 946995200 951782400 955514880 958832640 1002700800 1011268800 1015234560 1022754816 1065369600 1078686720 1082916864 1128038400 1136394240 1150599168 1194393600 1198540800 1218281472 1269043200 1278443520 1294424064 1348358400 1353646080 1420492800 1433272320 1438248960 1504051200 1522851840 1534132224 1592524800 1598054400 1618030080 1624375296 1692057600 1704591360 1725898752 1791590400 1797811200 1804861440 1893990400 1903564800 1917665280 2022537600 2030469120 2045509632 2130739200 2157373440 2256076800 2301198336 2388787200 2397081600 2436562944 2538086400 2556887040 2588848128 2696716800 2707292160 2840985600 2866544640 2876497920 3008102400 3045703680 3068264448 3196108800 3236060160 3248750592 3384115200 3409182720 3451797504 3583180800 3595622400 3807129600 3835330560 4045075200 4060938240 4261478400 4314746880 4512153600 4602396672 4777574400 4794163200 4873125888 5076172800 5113774080 5177696256 5393433600 5414584320 5681971200 5752995840 6091407360 6136528896 6392217600 6472120320 6768230400 6903595008 7166361600 7191244800 7614259200 7670661120 8090150400 8121876480 8522956800 8629493760 9024307200 9204793344 9588326400 9746251776 10152345600 10227548160 10355392512 10786867200 11505991680 12182814720 12784435200 12944240640 13536460800 13807190016 14332723200 14382489600 15228518400 15341322240 16180300800 16243752960 17045913600 17258987520 18409586688 19176652800 20304691200 20710785024 21573734400 23011983360 24365629440 25568870400 25888481280 27072921600 27614380032 28764979200 30457036800 30682644480 32360601600 34517975040 38353305600 40609382400 41421570048 43147468800 46023966720 48731258880 51137740800 51776962560 55228760064 57529958400 60914073600 64721203200 69035950080 76706611200 81218764800 82843140096 86294937600 92047933440 103553925120 115059916800 121828147200 129442406400 138071900160 153413222400 165686280192 172589875200 207107850240 230119833600 243656294400 258884812800 276143800320 345179750400 414215700480 460239667200 517769625600 690359500800 828431400960 1035539251200 1380719001600 2071078502400 4142157004800
- Sum of all divisors σ(n): 16366017163120
- Sum of proper divisors (its aliquot sum) s(n): 12223860158320
- 4142157004800 is an abundant number, because the sum of its proper divisors (12223860158320) is greater than itself. Its abundance is 8081703153520
Bases of 4142157004800
- Binary: 1111000100011010111100110000000000000000002
- Hexadecimal: 0x3C46BCC0000
- Base-36: 1GUVPC000
Squares and roots of 4142157004800
- 4142157004800 squared (41421570048002) is 17157464652413707223040000
- 4142157004800 cubed (41421570048003) is 71068912394603834601451491950592000000
-
The
square root of 4142157004800 is 2035228.9809257335 -
The
cube root of 4142157004800 is 16059.8759168195
Scales and comparisons
How big is 4142157004800?- 4,142,157,004,800 seconds is equal to 131,707 years, 40 weeks, 4 days.
-
To count from 1 to 4,142,157,004,800 would take you about three hundred twenty-nine thousand, two hundred sixty-nine 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 4142157004800 cubic inches would be around 1338.3 feet tall.
Recreational maths with 4142157004800
- 4142157004800 backwards is 0084007512414
- 4142157004800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4142157004800's digits is 36
- More coming soon!
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The information we have on file for 4142157004800 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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