13038696824832

Names of 13038696824832

• Cardinal: 13038696824832 can be written as Thirteen trillion, thirty-eight billion, six hundred ninety-six million, eight hundred twenty-four thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.3038696824832 × 10¹³

Factors of 13038696824832

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 79

Divisors of 13038696824832

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 67 72 84 96 98 108 112 126 128 134 144 147 168 189 192 196 201 216 224 252 256 268 288 294 336 378 384 392 402 432 441 448 469 504 512 536 576 588 603 672 756 768 784 804 864 882 896 938 1008 1024 1072 1152 1176 1206 1323 1344 1407 1512 1536 1568 1608 1728 1764 1792 1809 1876 2016 2048 2144 2304 2352 2412 2646 2688 2814 3024 3072 3136 3216 3283 3456 3528 3584 3618 3752 4032 4096 4221 4288 4489 4608 4704 4824 5292 5376 5628 6048 6144 6272 6432 6566 6912 7056 7168 7236 7504 8064 8192 8442 8576 8978 9216 9408 9648 9849 10584 10752 11256 12096 12288 12544 12663 12864 13132 13467 13824 14112 14336 14472 15008 16128 16384 16884 17152 17956 18432 18816 19296 19698 21168 21504 22512 24192 24576 25088 25326 25728 26264 26934 27648 28224 28672 28944 29547 30016 31423 32256 32768 33768 34304 35912 36864 37632 38592 39396 40401 42336 43008 45024 48384 49152 50176 50652 51456 52528 53868 55296 56448 57344 57888 59094 60032 62846 64512 67536 68608 71824 73728 75264 77184 78792 80802 84672 86016 88641 90048 94269 96768 98304 100352 101304 102912 105056 107736 110592 112896 114688 115776 118188 120064 121203 125692 129024 135072 137216 143648 147456 150528 154368 157584 161604 169344 172032 177282 180096 188538 193536 200704 202608 205824 210112 215472 219961 221184 225792 229376 231552 236376 240128 242406 251384 258048 270144 274432 282807 287296 294912 300763 301056 308736 315168 323208 338688 344064 354564 360192 377076 387072 401408 405216 411648 420224 430944 439922 442368 451584 463104 472752 480256 484812 502768 516096 540288 548864 565614 574592 601526 602112 617472 630336 646416 659883 677376 688128 709128 720384 754152 774144 802816 810432 823296 840448 848421 861888 879844 884736 902289 903168 926208 945504 960512 969624 1005536 1032192 1080576 1097728 1131228 1149184 1203052 1204224 1234944 1260672 1292832 1319766 1354752 1418256 1440768 1508304 1548288 1605632 1620864 1646592 1680896 1696842 1723776 1759688 1804578 1806336 1852416 1891008 1921024 1939248 1979649 2011072 2064384 2105341 2161152 2195456 2262456 2298368 2406104 2408448 2469888 2521344 2585664 2639532 2706867 2709504 2836512 2881536 3016608 3096576 3241728 3293184 3361792 3393684 3447552 3519376 3609156 3612672 3704832 3782016 3842048 3878496 3959298 4022144 4210682 4322304 4524912 4596736 4812208 4816896 4939776 5042688 5171328 5279064 5413734 5419008 5673024 5763072 5938947 6033216 6193152 6316023 6483456 6586368 6723584 6787368 6895104 7038752 7218312 7225344 7409664 7564032 7684096 7756992 7918596 8044288 8120601 8421364 8644608 9049824 9193472 9624416 9879552 10085376 10342656 10558128 10827468 10838016 11346048 11526144 11877894 12066432 12632046 12966912 13447168 13574736 13790208 14077504 14436624 14450688 14737387 14819328 15128064 15368192 15513984 15837192 16088576 16241202 16842728 17289216 18099648 18386944 18948069 19248832 19759104 20170752 20685312 21116256 21654936 21676032 22692096 23052288 23755788 24132864 25264092 25933824 26894336 27149472 27580416 28155008 28873248 29474774 29638656 30256128 31027968 31674384 32177152 32482404 33685456 34578432 36199296 36773888 37896138 38497664 40341504 41370624 42232512 43309872 43352064 44212161 45384192 46104576 47511576 48265728 50528184 51867648 53788672 54298944 55160832 56310016 56844207 57746496 58949548 59277312 60512256 62055936 63348768 64354304 64964808 67370912 69156864 72398592 73547776 75792276 76995328 80683008 82741248 84465024 86619744 88424322 90768384 95023152 96531456 101056368 103735296 107577344 108597888 110321664 112620032 113688414 115492992 117899096 121024512 124111872 126697536 128708608 129929616 132636483 134741824 138313728 144797184 147095552 151584552 153990656 161366016 165482496 168930048 173239488 176848644 181536768 190046304 193062912 202112736 207470592 217195776 220643328 225240064 227376828 230985984 235798192 242049024 248223744 253395072 257417216 259859232 265272966 269483648 289594368 303169104 307981312 322732032 330964992 337860096 346478976 353697288 363073536 380092608 386125824 397909449 404225472 414941184 434391552 441286656 450480128 454753656 461971968 471596384 484098048 496447488 506790144 514834432 519718464 530545932 538967296 579188736 606338208 615962624 661929984 675720192 692957952 707394576 726147072 760185216 772251648 795818898 808450944 868783104 900960256 909507312 923943936 943192768 968196096 992894976 1013580288 1029668864 1039436928 1061091864 1077934592 1158377472 1212676416 1231925248 1323859968 1351440384 1385915904 1414789152 1452294144 1520370432 1544503296 1591637796 1616901888 1737566208 1801920512 1819014624 1847887872 1886385536 1985789952 2027160576 2078873856 2122183728 2155869184 2316754944 2425352832 2463850496 2702880768 2771831808 2829578304 2904588288 3040740864 3089006592 3183275592 3233803776 3475132416 3603841024 3638029248 3695775744 3772771072 3971579904 4054321152 4157747712 4244367456 4311738368 4633509888 4850705664 4927700992 5405761536 5543663616 5659156608 6081481728 6366551184 6467607552 6950264832 7207682048 7276058496 7391551488 7545542144 8108642304 8315495424 8488734912 8623476736 9267019776 9701411328 9855401984 10811523072 11087327232 11318313216 12162963456 12733102368 12935215104 13900529664 14552116992 14783102976 15091084288 16217284608 16630990848 16977469824 17246953472 19402822656 21623046144 22174654464 22636626432 24325926912 25466204736 25870430208 27801059328 29104233984 29566205952 30182168576 32434569216 33261981696 33954939648 34493906944 38805645312 44349308928 45273252864 48651853824 50932409472 51740860416 58208467968 60364337152 64869138432 66523963392 67909879296 68987813888 77611290624 88698617856 90546505728 97303707648 101864818944 103481720832 116416935936 120728674304 133047926784 135819758592 155222581248 181093011456 194607415296 203729637888 206963441664 232833871872 241457348608 266095853568 271639517184 310445162496 362186022912 407459275776 465667743744 482914697216 543279034368 620890324992 724372045824 814918551552 931335487488 1086558068736 1448744091648 1629837103104 1862670974976 2173116137472 3259674206208 4346232274944 6519348412416 13038696824832
• Sum of all divisors σ(n): 45620853336000
• Sum of proper divisors (its aliquot sum) s(n): 32582156511168
• 13038696824832 is an abundant number, because the sum of its proper divisors (32582156511168) is greater than itself. Its abundance is 19543459686336

Bases of 13038696824832

• Binary: 10111101101111001110111001001000000000000000₂
• Hexadecimal: 0xBDBCEE48000
• Base-36: 4MDW7FUO0

Squares and roots of 13038696824832

• 13038696824832 squared (13038696824832²) is 170007614889884078491828224
• 13038696824832 cubed (13038696824832³) is 2216677748461992979547950927527561658368
• The square root of 13038696824832 is 3610913.5720523691
• The cube root of 13038696824832 is 23536.6543268677

Scales and comparisons

• 13,038,696,824,832 seconds is equal to 414,590 years, 11 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 13,038,696,824,832 would take you about one million, thirty-six thousand, four hundred seventy-five 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 13038696824832 cubic inches would be around 1961.4 feet tall.

Recreational maths with 13038696824832

• 13038696824832 backwards is 23842869683031
• 13038696824832 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13038696824832's digits is 63
• More coming soon!