13125589401776768

Names of 13125589401776768

• Cardinal: 13125589401776768 can be written as Thirteen quadrillion, one hundred twenty-five trillion, five hundred eighty-nine billion, four hundred one million, seven hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3125589401776768 × 10¹⁶

Factors of 13125589401776768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1073

Divisors of 13125589401776768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 128 134 196 224 268 343 392 448 469 536 686 784 896 938 997 1072 1372 1568 1876 1994 2144 2744 3136 3283 3752 3988 4288 4489 5488 6272 6566 6979 7504 7976 8576 8978 10976 13132 13958 15008 15952 17956 21952 22981 26264 27916 30016 31423 31904 35912 43904 45962 48853 52528 55832 60032 62846 63808 66799 71824 91924 97706 105056 111664 125692 127616 133598 143648 183848 195412 210112 219961 223328 251384 267196 287296 300763 341971 367696 390824 420224 439922 446656 467593 502768 534392 574592 601526 683942 735392 781648 879844 893312 935186 994009 1005536 1068784 1203052 1367884 1470784 1539727 1563296 1759688 1870372 1988018 2011072 2105341 2137568 2406104 2735768 2941568 3079454 3126592 3273151 3519376 3740744 3976036 4022144 4210682 4275136 4475533 4812208 5471536 6158908 6253184 6546302 6958063 7038752 7481488 7952072 8421364 8550272 8951066 9624416 10943072 12317816 13092604 13916126 14077504 14737387 14962976 15904144 16842728 17902132 19248832 21886144 22912057 24635632 26185208 27832252 28155008 29474774 29925952 31328731 31808288 33685456 35804264 38497664 43772288 45824114 48706441 49271264 52370416 55664504 58949548 59851904 62657462 63616576 66598603 67370912 71608528 91648228 97412882 98542528 103161709 104740832 111329008 117899096 125314924 127233152 133197206 134741824 143217056 183296456 194825764 197085056 206323418 209481664 219301117 222658016 235798192 250629848 266394412 269483648 286434112 299860711 340945087 366592912 389651528 412646836 418963328 438602234 445316032 466190221 471596384 501259696 532788824 572868224 599721422 681890174 733185824 779303056 825293672 877204468 890632064 932380442 943192768 1002519392 1065577648 1199442844 1363780348 1466371648 1535107819 1558606112 1650587344 1754408936 1864760884 1886385536 2005038784 2099024977 2131155296 2398885688 2727560696 2932743296 3070215638 3117212224 3263331547 3301174688 3508817872 3729521768 4010077568 4198049954 4262310592 4462106401 4797771376 5455121392 6140431276 6234424448 6526663094 6602349376 7017635744 7459043536 8396099908 8524621184 8924212802 9595542752 10910242784 12280862552 13053326188 13204698752 14035271488 14693174839 14918087072 16792199816 17848425604 19191085504 21820485568 22843320829 24561725104 26106652376 28070542976 29386349678 29836174144 31234744807 33584399632 35696851208 38382171008 43640971136 45686641658 49123450208 52213304752 58772699356 59672348288 62469489614 67168799264 71393702416 91373283316 98246900416 102852223873 104426609504 117545398712 124938979228 134337598528 142787404832 182746566632 196493800832 205704447746 208853219008 218643213649 235090797424 249877958456 268675197056 285574809664 298961128867 365493133264 411408895492 417706438016 437286427298 470181594848 499755916912 571149619328 597922257734 730986266528 822817790984 874572854596 940363189696 999511833824 1195844515468 1461972533056 1530502495543 1645635581968 1749145709192 1880726379392 1999023667648 2092727902069 2391689030936 2923945066112 3061004991086 3291271163936 3498291418384 3998047335296 4185455804138 4783378061872 6122009982172 6582542327872 6996582836768 8370911608276 9566756123744 12244019964344 13165084655744 13993165673536 14649095314483 16741823216552 19133512247488 24488039928688 27986331347072 29298190628966 33483646433104 38267024494976 48976079857376 58596381257932 66967292866208 97952159714752 102543667201381 117192762515864 133934585732416 195904319429504 205087334402762 234385525031728 267869171464832 410174668805524 468771050063456 820349337611048 937542100126912 1640698675222096 1875084200253824 3281397350444192 6562794700888384 13125589401776768
• Sum of all divisors σ(n): 30987144798480000
• Sum of proper divisors (its aliquot sum) s(n): 17861555396703232
• 13125589401776768 is an abundant number, because the sum of its proper divisors (17861555396703232) is greater than itself. Its abundance is 4735965994926464

Bases of 13125589401776768

• Binary: 101110101000011010011101101101110000101011001010000000₂
• Hexadecimal: 0x2EA1A76DC2B280
• Base-36: 3L8MSJ154E8

Squares and roots of 13125589401776768

• 13125589401776768 squared (13125589401776768²) is 172281097144034614457275304525824
• 13125589401776768 cubed (13125589401776768³) is 2261290942800214549163911583825951648937339256832
• The square root of 13125589401776768 is 114566964.7052620837
• The cube root of 13125589401776768 is 235888.2299054679

Scales and comparisons

• 13,125,589,401,776,768 seconds is equal to 417,353,142 years, 44 weeks, 6 days, 1 hour, 6 minutes, 8 seconds.
• To count from 1 to 13,125,589,401,776,768 would take you about one billion, two hundred fifty-two million, fifty-nine thousand, four hundred twenty-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 13125589401776768 cubic inches would be around 19657.4 feet tall.

Recreational maths with 13125589401776768

• 13125589401776768 backwards is 86767710498552131
• The number of decimal digits it has is: 17
• The sum of 13125589401776768's digits is 80
• More coming soon!