13229840948916232256
13,229,840,948,916,232,256 is an even composite number composed of five prime numbers multiplied together.
13229840948916232256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13229840948916232256:
26 × 73 × 112 × 19 × 262144987397
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 19 × 262144987397)See below for interesting mathematical facts about the number 13229840948916232256 from the Numbermatics database.
Names of 13229840948916232256
- Cardinal: 13229840948916232256 can be written as Thirteen quintillion, two hundred twenty-nine quadrillion, eight hundred forty trillion, nine hundred forty-eight billion, nine hundred sixteen million, two hundred thirty-two thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.3229840948916232256 × 1019
Factors of 13229840948916232256
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 262144987436
Divisors of 13229840948916232256
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 64 76 77 88 98 112 121 133 152 154 176 196 209 224 242 266 304 308 343 352 392 418 448 484 532 539 608 616 686 704 784 836 847 931 968 1064 1078 1216 1232 1372 1463 1568 1672 1694 1862 1936 2128 2156 2299 2464 2744 2926 3136 3344 3388 3724 3773 3872 4256 4312 4598 4928 5488 5852 5929 6517 6688 6776 7448 7546 7744 8512 8624 9196 10241 10976 11704 11858 13034 13376 13552 14896 15092 16093 17248 18392 20482 21952 23408 23716 26068 27104 29792 30184 32186 34496 36784 40964 41503 46816 47432 52136 54208 59584 60368 64372 71687 73568 81928 83006 93632 94864 104272 112651 120736 128744 143374 147136 163856 166012 189728 208544 225302 241472 257488 286748 327712 332024 379456 417088 450604 514976 573496 655424 664048 788557 901208 1029952 1146992 1328096 1577114 1802416 2293984 2656192 3154228 3604832 4587968 6308456 7209664 12616912 25233824 50467648 262144987397 524289974794 1048579949588 1835014911779 2097159899176 2883594861367 3670029823558 4194319798352 4980754760543 5767189722734 7340059647116 8388639596704 9961509521086 11534379445468 12845104382453 14680119294232 16777279193408 19923019042172 20185164029569 23068758890936 25690208764906 29360238588464 31719543475037 34865283323801 39846038084344 40370328059138 46137517781872 51380417529812 54788302365973 58720477176928 63439086950074 69730566647602 79692076168688 80740656118276 89915730677171 92275035563744 102760835059624 109576604731946 117440954353856 126878173900148 139461133295204 141296148206983 159384152337376 161481312236552 179831461354342 184550071127488 205521670119248 219153209463892 222036804325259 244056983266607 253756347800296 278922266590408 282592296413966 318768304674752 322962624473104 359662922708684 383518116561811 411043340238496 438306418927784 444073608650518 488113966533214 507512695600592 557844533180816 565184592827932 602671326025703 645925248946208 719325845417368 767036233123622 822086680476992 876612837855568 888147217301036 976227933066428 989073037448881 1015025391201184 1115689066361632 1130369185655864 1205342652051406 1291850497892416 1438651690834736 1534072466247244 1554257630276813 1708398882866249 1753225675711136 1776294434602072 1952455866132856 1978146074897762 2030050782402368 2231378132723264 2260738371311728 2410685304102812 2684626815932677 2877303381669472 3068144932494488 3108515260553626 3416797765732498 3506451351422272 3552588869204144 3904911732265712 3956292149795524 4218699282179921 4521476742623456 4821370608205624 5369253631865354 5754606763338944 6136289864988976 6217030521107252 6833595531464996 7105177738408288 7809823464531424 7912584299591048 8437398564359842 9042953485246912 9642741216411248 10738507263730708 10879803411937691 12272579729977952 12434061042214504 13667191062929992 14210355476816576 15619646929062848 15825168599182096 16874797128719684 18792387711528739 19285482432822496 21477014527461416 21759606823875382 24545159459955904 24868122084429008 27334382125859984 29530894975259447 31650337198364192 33749594257439368 37584775423057478 38570964865644992 42954029054922832 43519213647750764 49736244168858016 54668764251719968 59061789950518894 63300674396728384 67499188514878736 75169550846114956 85908058109845664 87038427295501528 99472488337716032 109337528503439936 118123579901037788 134998377029757472 150339101692229912 171816116219691328 174076854591003056 206716264826816129 236247159802075576 269996754059514944 300678203384459824 348153709182006112 413432529653632258 472494319604151152 601356406768919648 696307418364012224 826865059307264516 944988639208302304 1202712813537839296 1653730118614529032 1889977278416604608 3307460237229058064 6614920474458116128 13229840948916232256
- Sum of all divisors σ(n): 35423127857116944000
- Sum of proper divisors (its aliquot sum) s(n): 22193286908200711744
- 13229840948916232256 is an abundant number, because the sum of its proper divisors (22193286908200711744) is greater than itself. Its abundance is 8963445959284479488
Bases of 13229840948916232256
- Binary: 10110111100110011101011000111111100100110001000110100000010000002
- Hexadecimal: 0xB799D63F9311A040
- Base-36: 2SIIB7O91XOOW
Squares and roots of 13229840948916232256
- 13229840948916232256 squared (132298409489162322562) is 175028691533620752741453918922934849536
- 13229840948916232256 cubed (132298409489162322563) is 2315601750486723686230047755754436037582393287459389833216
-
The
square root of 13229840948916232256 is 3637284831.9751138587 -
The
cube root of 13229840948916232256 is 2365111.0710657623
Scales and comparisons
How big is 13229840948916232256?- 13,229,840,948,916,232,256 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,229,840,948,916,232,256 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13229840948916232256 cubic inches would be around 197092.6 feet tall.
Recreational maths with 13229840948916232256
- 13229840948916232256 backwards is 65223261984904892231
- The number of decimal digits it has is: 20
- The sum of 13229840948916232256's digits is 86
- More coming soon!
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