642413292421120
642,413,292,421,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 642413292421120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
642413292421120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 642413292421120:
219 × 5 × 11 × 29 × 412 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 41 × 41 × 457)See below for interesting mathematical facts about the number 642413292421120 from the Numbermatics database.
Names of 642413292421120
- Cardinal: 642413292421120 can be written as Six hundred forty-two trillion, four hundred thirteen billion, two hundred ninety-two million, four hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.4241329242112 × 1014
Factors of 642413292421120
Divisors of 642413292421120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 41 44 55 58 64 80 82 88 110 116 128 145 160 164 176 205 220 232 256 290 319 320 328 352 410 440 451 457 464 512 580 638 640 656 704 820 880 902 914 928 1024 1160 1189 1276 1280 1312 1408 1595 1640 1681 1760 1804 1828 1856 2048 2255 2285 2320 2378 2552 2560 2624 2816 3190 3280 3362 3520 3608 3656 3712 4096 4510 4570 4640 4756 5027 5104 5120 5248 5632 5945 6380 6560 6724 7040 7216 7312 7424 8192 8405 9020 9140 9280 9512 10054 10208 10240 10496 11264 11890 12760 13079 13120 13253 13448 14080 14432 14624 14848 16384 16810 18040 18280 18491 18560 18737 19024 20108 20416 20480 20992 22528 23780 25135 25520 26158 26240 26506 26896 28160 28864 29248 29696 32768 33620 36080 36560 36982 37120 37474 38048 40216 40832 40960 41984 45056 47560 48749 50270 51040 52316 52480 53012 53792 56320 57728 58496 59392 65395 65536 66265 67240 72160 73120 73964 74240 74948 76096 80432 81664 81920 83968 90112 92455 93685 95120 97498 100540 102080 104632 104960 106024 107584 112640 115456 116992 118784 130790 131072 132530 134480 144320 145783 146240 147928 148480 149896 152192 160864 163328 163840 167936 180224 184910 187370 190240 194996 201080 204160 206107 209264 209920 212048 215168 225280 230912 233984 237568 243745 261580 262144 265060 268960 288640 291566 292480 295856 296960 299792 304384 321728 326656 327680 335872 360448 369820 374740 380480 389992 402160 408320 412214 418528 419840 424096 430336 450560 461824 467968 475136 487490 523160 524288 530120 536239 537920 543373 577280 583132 584960 591712 593920 599584 608768 643456 653312 655360 671744 720896 728915 739640 749480 760960 768217 779984 804320 816640 824428 837056 839680 848192 860672 901120 923648 935936 950272 974980 1030535 1046320 1060240 1072478 1075840 1086746 1154560 1166264 1169920 1183424 1187840 1199168 1217536 1286912 1306624 1310720 1343488 1441792 1457830 1479280 1498960 1521920 1536434 1559968 1608640 1633280 1648856 1674112 1679360 1696384 1721344 1802240 1847296 1871872 1900544 1949960 2061070 2092640 2120480 2144956 2151680 2173492 2309120 2332528 2339840 2366848 2375680 2398336 2435072 2573824 2613248 2621440 2681195 2686976 2716865 2883584 2915660 2958560 2997920 3043840 3072868 3119936 3217280 3266560 3297712 3348224 3358720 3392768 3442688 3604480 3694592 3743744 3801088 3841085 3899920 4122140 4185280 4240960 4289912 4303360 4346984 4618240 4665056 4679680 4733696 4751360 4796672 4870144 5147648 5226496 5362390 5373952 5433730 5767168 5831320 5917120 5977103 5995840 6087680 6145736 6239872 6434560 6533120 6595424 6696448 6717440 6785536 6885376 7208960 7389184 7487488 7602176 7682170 7799840 8244280 8370560 8450387 8481920 8579824 8606720 8693968 9236480 9330112 9359360 9467392 9502720 9593344 9740288 10295296 10452992 10724780 10747904 10867460 11662640 11834240 11954206 11991680 12175360 12291472 12479744 12869120 13066240 13190848 13392896 13434880 13571072 13770752 14417920 14778368 14974976 15204352 15364340 15599680 16488560 16741120 16900774 16963840 17159648 17213440 17387936 18472960 18660224 18718720 18934784 19005440 19186688 19480576 20590592 20905984 21449560 21495808 21734920 22278293 23325280 23668480 23908412 23983360 24350720 24582944 24959488 25738240 26132480 26381696 26785792 26869760 27142144 27541504 28835840 29556736 29885515 29949952 30728680 31199360 32977120 33482240 33801548 33927680 34319296 34426880 34775872 36945920 37320448 37437440 37869568 38010880 38373376 38961152 41181184 41811968 42251935 42899120 43469840 44556586 46650560 47336960 47816824 47966720 48701440 49165888 49918976 51476480 52264960 52763392 53571584 53739520 54284288 55083008 59113472 59771030 59899904 61457360 62398720 65954240 66964480 67603096 67855360 68638592 68853760 69551744 73891840 74640896 74874880 75739136 76021760 76746752 77922304 82362368 83623936 84503870 85798240 86939680 89113172 93301120 94673920 95633648 95933440 97402880 98331776 99837952 102952960 104529920 105526784 107143168 107479040 108568576 110166016 111391465 118226944 119542060 119799808 122914720 124797440 131908480 133928960 135206192 135710720 137277184 137707520 139103488 147783680 149281792 149749760 151478272 153493504 155844608 164724736 167247872 169007740 171596480 173879360 178226344 186602240 189347840 191267296 191866880 194805760 196663552 199675904 205905920 209059840 211053568 214286336 217137152 220332032 222782930 236453888 239084120 239599616 245061223 245829440 249594880 263816960 267857920 270412384 271421440 274554368 275415040 278206976 295567360 298563584 299499520 302956544 306987008 311689216 329449472 338015480 343192960 347758720 356452688 373204480 378695680 382534592 383733760 389611520 393327104 399351808 411811840 418119680 422107136 428572672 434274304 440664064 445565860 478168240 490122446 491658880 499189760 527633920 535715840 540824768 542842880 549108736 550830080 556413952 591134720 597127168 598999040 605913088 613974016 623378432 658898944 676030960 686385920 695517440 712905376 746408960 757391360 765069184 767467520 779223040 786654208 798703616 823623680 836239360 844214272 857145344 868548608 881328128 891131720 956336480 980244892 983317760 998379520 1055267840 1071431680 1081649536 1085685760 1098217472 1101660160 1112827904 1182269440 1194254336 1197998080 1211826176 1225306115 1227948032 1317797888 1352061920 1372771840 1391034880 1425810752 1492817920 1514782720 1530138368 1534935040 1558446080 1573308416 1597407232 1647247360 1688428544 1714290688 1737097216 1782263440 1912672960 1960489784 1966635520 1996759040 2110535680 2142863360 2163299072 2171371520 2196434944 2203320320 2225655808 2388508672 2423652352 2450612230 2455896064 2635595776 2704123840 2745543680 2782069760 2851621504 2985635840 3029565440 3060276736 3069870080 3116892160 3146616832 3194814464 3294494720 3376857088 3428581376 3474194432 3564526880 3825345920 3920979568 3933271040 3993518080 4221071360 4285726720 4326598144 4342743040 4392869888 4406640640 4451311616 4777017344 4847304704 4901224460 4911792128 5408247680 5491087360 5564139520 5703243008 5971271680 6059130880 6120553472 6139740160 6293233664 6389628928 6588989440 6753714176 6857162752 6948388864 7129053760 7650691840 7841959136 7866542080 7987036160 8442142720 8571453440 8653196288 8685486080 8785739776 8902623232 9554034688 9694609408 9802448920 9823584256 10816495360 10982174720 11128279040 11406486016 11942543360 12118261760 12241106944 12279480320 12586467328 12779257856 13177978880 13507428352 14258107520 15301383680 15683918272 15733084160 15974072320 16884285440 17142906880 17306392576 17370972160 17571479552 17805246464 19108069376 19604897840 21632990720 21964349440 22256558080 22812972032 23885086720 24236523520 24482213888 24558960640 25172934656 25558515712 27014856704 28516215040 30602767360 31367836544 31466168320 31948144640 33768570880 34285813760 34612785152 34741944320 35142959104 35610492928 38216138752 39209795680 43265981440 43928698880 44513116160 45625944064 47770173440 48473047040 48964427776 49117921280 50345869312 54029713408 57032430080 61205534720 62735673088 62932336640 63896289280 67537141760 69225570304 70285918208 71220985856 76432277504 78419591360 86531962880 87857397760 89026232320 91251888128 95540346880 97928855552 100691738624 108059426816 114064860160 122411069440 125471346176 125864673280 127792578560 135074283520 138451140608 140571836416 142441971712 156839182720 173063925760 175714795520 178052464640 182503776256 191080693760 195857711104 201383477248 228129720320 244822138880 250942692352 251729346560 270148567040 276902281216 281143672832 284883943424 313678365440 346127851520 351429591040 356104929280 365007552512 382161387520 391715422208 402766954496 456259440640 489644277760 501885384704 503458693120 540297134080 553804562432 627356730880 692255703040 702859182080 712209858560 730015105024 783430844416 912518881280 979288555520 1003770769408 1006917386240 1107609124864 1254713461760 1384511406080 1405718364160 1424419717120 1460030210048 1566861688832 1825037762560 1958577111040 2007541538816 2013834772480 2215218249728 2509426923520 2769022812160 2920060420096 3133723377664 3650075525120 3917154222080 4015083077632 4430436499456 5018853847040 5538045624320 5840120840192 7300151050240 7834308444160 8030166155264 10037707694080 11076091248640 11680241680384 14600302100480 15668616888320 16060332310528 20075415388160 22152182497280 29200604200960 32120664621056 40150830776320 58401208401920 64241329242112 80301661552640 128482658484224 160603323105280 321206646210560 642413292421120
- Sum of all divisors σ(n): 1787326957548000
- Sum of proper divisors (its aliquot sum) s(n): 1144913665126880
- 642413292421120 is an abundant number, because the sum of its proper divisors (1144913665126880) is greater than itself. Its abundance is 502500372705760
Bases of 642413292421120
- Binary: 100100100001000101100000000001100000000000000000002
- Hexadecimal: 0x2484580180000
- Base-36: 6BPSLBORGG
Squares and roots of 642413292421120
- 642413292421120 squared (6424132924211202) is 412694838279343435231422054400
- 642413292421120 cubed (6424132924211203) is 265120649824234682121803731253163540348928000
-
The
square root of 642413292421120 is 25345873.2818800309 -
The
cube root of 642413292421120 is 86285.5700902057
Scales and comparisons
How big is 642413292421120?- 642,413,292,421,120 seconds is equal to 20,426,755 years, 30 weeks, 2 days, 15 hours, 38 minutes, 40 seconds.
-
To count from 1 to 642,413,292,421,120 would take you about fifty-one million, sixty-six thousand, eight 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 642413292421120 cubic inches would be around 7190.5 feet tall.
Recreational maths with 642413292421120
- 642413292421120 backwards is 021124292314246
- The number of decimal digits it has is: 15
- The sum of 642413292421120's digits is 43
- More coming soon!
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The information we have on file for 642413292421120 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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