13901997993356304
13,901,997,993,356,304 is an even composite number composed of six prime numbers multiplied together.
13901997993356304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13901997993356304:
24 × 33 × 13 × 31 × 61 × 1309057109
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 61 × 1309057109)See below for interesting mathematical facts about the number 13901997993356304 from the Numbermatics database.
Names of 13901997993356304
- Cardinal: 13901997993356304 can be written as Thirteen quadrillion, nine hundred one trillion, nine hundred ninety-seven billion, nine hundred ninety-three million, three hundred fifty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.3901997993356304 × 1016
Factors of 13901997993356304
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1309057219
Divisors of 13901997993356304
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 61 62 72 78 93 104 108 117 122 124 144 156 183 186 208 216 234 244 248 279 312 351 366 372 403 432 468 488 496 549 558 624 702 732 744 793 806 837 936 976 1098 1116 1209 1404 1464 1488 1586 1612 1647 1674 1872 1891 2196 2232 2379 2418 2808 2928 3172 3224 3294 3348 3627 3782 4392 4464 4758 4836 5616 5673 6344 6448 6588 6696 7137 7254 7564 8784 9516 9672 10881 11346 12688 13176 13392 14274 14508 15128 17019 19032 19344 21411 21762 22692 24583 26352 28548 29016 30256 34038 38064 42822 43524 45384 49166 51057 57096 58032 68076 73749 85644 87048 90768 98332 102114 114192 136152 147498 171288 174096 196664 204228 221247 272304 294996 342576 393328 408456 442494 589992 663741 816912 884988 1179984 1327482 1769976 2654964 3539952 5309928 10619856 1309057109 2618114218 3927171327 5236228436 7854342654 10472456872 11781513981 15708685308 17017742417 20944913744 23563027962 31417370616 34035484834 35344541943 40580770379 47126055924 51053227251 62834741232 68070969668 70689083886 79852483649 81161540758 94252111848 102106454502 121742311137 136141939336 141378167772 153159681753 159704967298 162323081516 188504223696 204212909004 239557450947 243484622274 272283878672 282756335544 306319363506 319409934596 324646163032 365226933411 408425818008 459479045259 479114901894 486969244548 527550014927 565512671088 612638727012 638819869192 649292326064 718672352841 730453866822 816851636016 918958090518 958229803788 973938489096 1038082287437 1055100029854 1095680800233 1225277454024 1277639738384 1437344705682 1460907733644 1582650044781 1837916181036 1916459607576 1947876978192 2076164574874 2110200059708 2156017058523 2191361600466 2450554908048 2475426993119 2874689411364 2921815467288 3114246862311 3165300089562 3675832362072 3832919215152 4152329149748 4220400119416 4312034117046 4382723200932 4747950134343 4950853986238 5749378822728 5843630934576 6228493724622 6330600179124 7351664724144 7426280979357 8304658299496 8440800238832 8624068234092 8765446401864 9342740586933 9495900268686 9901707972476 11498757645456 12456987449244 12661200358248 14243850403029 14852561958714 16609316598992 17248136468184 17530892803728 18685481173866 18991800537372 19803415944952 22278842938071 24913974898488 25322400716496 28028221760799 28487700806058 29705123917428 32180550910547 34496272936368 37370962347732 37983601074744 39606831889904 44557685876142 49827949796976 56056443521598 56975401612116 59410247834856 64361101821094 66836528814213 74741924695464 75967202149488 89115371752284 96541652731641 112112887043196 113950803224232 118820495669712 128722203642188 133673057628426 149483849390928 178230743504568 193083305463282 224225774086392 227901606448464 257444407284376 267346115256852 289624958194923 356461487009136 386166610926564 448451548172784 514888814568752 534692230513704 579249916389846 772333221853128 868874874584769 1069384461027408 1158499832779692 1544666443706256 1737749749169538 2316999665559384 3475499498339076 4633999331118768 6950998996678152 13901997993356304
- Sum of all divisors σ(n): 45086859156326400
- Sum of proper divisors (its aliquot sum) s(n): 31184861162970096
- 13901997993356304 is an abundant number, because the sum of its proper divisors (31184861162970096) is greater than itself. Its abundance is 17282863169613792
Bases of 13901997993356304
- Binary: 1100010110001111001011001001000000111111101100000100002
- Hexadecimal: 0x3163CB240FEC10
- Base-36: 3SVUHPMAJO0
Squares and roots of 13901997993356304
- 13901997993356304 squared (139019979933563042) is 193265548207282703034922696540416
- 13901997993356304 cubed (139019979933563043) is 2686777263362550173463557992437166371853224382464
-
The
square root of 13901997993356304 is 117906734.3002777939 -
The
cube root of 13901997993356304 is 240450.5310047123
Scales and comparisons
How big is 13901997993356304?- 13,901,997,993,356,304 seconds is equal to 442,040,534 years, 25 weeks, 1 day, 17 hours, 38 minutes, 24 seconds.
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To count from 1 to 13,901,997,993,356,304 would take you about one billion, three hundred twenty-six million, one hundred twenty-one thousand, six hundred three 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 13901997993356304 cubic inches would be around 20037.5 feet tall.
Recreational maths with 13901997993356304
- 13901997993356304 backwards is 40365339979910931
- The number of decimal digits it has is: 17
- The sum of 13901997993356304's digits is 81
- More coming soon!
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