13198288831129536

Names of 13198288831129536

• Cardinal: 13198288831129536 can be written as Thirteen quadrillion, one hundred ninety-eight trillion, two hundred eighty-eight billion, eight hundred thirty-one million, one hundred twenty-nine thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.3198288831129536 × 10¹⁶

Factors of 13198288831129536

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 50386

Divisors of 13198288831129536

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 32 43 48 58 64 86 87 96 116 129 172 174 192 232 257 258 344 348 464 514 516 688 696 771 928 1028 1032 1247 1376 1392 1542 1856 2056 2064 2494 2752 2784 3084 3741 4112 4128 4733 4988 5568 6168 7453 7482 8224 8256 9466 9976 11051 12336 14199 14906 14964 16448 18932 19952 22102 22359 24672 28398 29812 29928 33153 37864 39904 44204 44718 45319 49344 56796 59624 59856 66306 75728 79808 88408 89436 90638 113592 119248 119712 132612 135957 137257 151456 176816 178872 181276 203519 227184 238496 239424 265224 271914 274514 302912 320479 353632 357744 362552 407038 411771 454368 476992 530448 543828 549028 610557 640958 707264 715488 725104 814076 823542 908736 961437 1060896 1087656 1098056 1216381 1221114 1281916 1314251 1430976 1450208 1628152 1647084 1922874 1948717 2121792 2175312 2196112 2432762 2442228 2563832 2628502 2900416 3256304 3294168 3649143 3845748 3897434 3942753 4350624 4392224 4865524 4884456 5127664 5257004 5846151 5902051 6512608 6588336 7298286 7691496 7794868 7885506 8701248 8784448 9731048 9768912 10255328 10514008 11646983 11692302 11804102 13025216 13176672 14596572 15382992 15589736 15771012 17706153 19462096 19537824 20510656 21028016 23293966 23384604 23608204 26353344 29193144 30765984 31179472 31542024 34940949 35275049 35412306 38924192 39075648 42056032 46587932 46769208 47216408 52304383 56512793 58386288 61531968 62358944 63084048 69881898 70550098 70824612 77848384 84112064 93175864 93538416 94432816 104608766 105825147 113025586 116772576 124717888 126168096 139763796 141100196 141649224 156913149 169538379 186351728 187076832 188865632 209217532 211650294 214494827 226051172 233545152 252336192 279527592 282200392 283298448 313826298 337762507 339076758 372703456 374153664 377731264 418435064 423300588 428989654 452102344 500820269 559055184 564400784 566596896 627652596 643484481 675525014 678153516 745406912 836870128 846601176 857979308 904204688 1001640538 1013287521 1118110368 1128801568 1133193792 1255305192 1286968962 1351050028 1356307032 1502460807 1516827107 1673740256 1693202352 1715958616 1808409376 2003281076 2026575042 2236220736 2257603136 2510610384 2573937924 2702100056 2712614064 3004921614 3033654214 3347480512 3386404704 3431917232 3616818752 4006562152 4053150084 4550481321 5021220768 5147875848 5404200112 5425228128 6009843228 6067308428 6220349983 6772809408 6863834464 8013124304 8106300168 9100962642 9223277561 10042441536 10295751696 10808400224 10850456256 12019686456 12134616856 12440699966 13727668928 14523787801 16026248608 16212600336 18201925284 18446555122 18661049949 20591503392 21616800448 24039372912 24269233712 24881399932 27669832683 29047575602 32052497216 32425200672 36403850568 36893110244 37322099898 41183006784 43571363403 48078745824 48538467424 49762799864 55125170539 55339665366 58095151204 64850401344 72807701136 73786220488 74644199796 87142726806 96157491648 97076934848 99525599728 110250341078 110679330732 116190302408 145615402272 147572440976 149288399592 165375511617 174285453612 199051199456 220500682156 221358661464 232380604816 267475049269 291230804544 295144881952 298576799184 330751023234 348570907224 398102398912 441001364312 442717322928 464761209632 534950098538 590289763904 597153598368 661502046468 697141814448 802425147807 882002728624 885434645856 929522419264 1069900197076 1194307196736 1323004092936 1394283628896 1598629945631 1604850295614 1764005457248 1770869291712 2139800394152 2370382333177 2646008185872 2788567257792 3197259891262 3209700591228 3528010914496 4279600788304 4740764666354 4795889836893 5292016371744 6394519782524 6419401182456 7111146999531 8559201576608 9481529332708 9591779673786 10584032743488 12789039565048 12838802364912 14222293999062 17118403153216 18963058665416 19183559347572 25578079130096 25677604729824 28444587998124 37926117330832 38367118695144 51156158260192 51355209459648 56889175996248 68741087662133 75852234661664 76734237390288 102312316520384 113778351992496 137482175324266 151704469323328 153468474780576 206223262986399 227556703984992 274964350648532 306936949561152 412446525972798 455113407969984 549928701297064 824893051945596 1099857402594128 1649786103891192 2199714805188256 3299572207782384 4399429610376512 6599144415564768 13198288831129536
• Sum of all divisors σ(n): 37117225401062400
• Sum of proper divisors (its aliquot sum) s(n): 23918936569932864
• 13198288831129536 is an abundant number, because the sum of its proper divisors (23918936569932864) is greater than itself. Its abundance is 10720647738803328

Bases of 13198288831129536

• Binary: 101110111000111100011000010101011011000010011111000000₂
• Hexadecimal: 0x2EE3C6156C27C0
• Base-36: 3LYEI6OC2IO

Squares and roots of 13198288831129536

• 13198288831129536 squared (13198288831129536²) is 174194828069918653645041611575296
• 13198288831129536 cubed (13198288831129536³) is 2299073653755737154730775123303033622515993542656
• The square root of 13198288831129536 is 114883805.7827539765
• The cube root of 13198288831129536 is 236322.9373812357

Scales and comparisons

• 13,198,288,831,129,536 seconds is equal to 419,664,759 years, 43 weeks, 5 days, 12 hours, 25 minutes, 36 seconds.
• To count from 1 to 13,198,288,831,129,536 would take you about one billion, two hundred fifty-eight million, nine hundred ninety-four thousand, two hundred seventy-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 13198288831129536 cubic inches would be around 19693.6 feet tall.

Recreational maths with 13198288831129536

• 13198288831129536 backwards is 63592113888289131
• The number of decimal digits it has is: 17
• The sum of 13198288831129536's digits is 78
• More coming soon!