13734153948001032

Names of 13734153948001032

• Cardinal: 13734153948001032 can be written as Thirteen quadrillion, seven hundred thirty-four trillion, one hundred fifty-three billion, nine hundred forty-eight million, one thousand and thirty-two.

Scientific notation

• Scientific notation: 1.3734153948001032 × 10¹⁶

Factors of 13734153948001032

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 793378

Divisors of 13734153948001032

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 19 21 24 26 28 36 38 39 42 52 56 57 63 72 76 78 84 91 104 114 117 126 133 152 156 168 171 182 228 234 247 252 266 273 312 342 364 399 456 468 494 504 532 546 684 728 741 798 819 936 988 1064 1092 1197 1368 1482 1596 1638 1729 1976 2184 2223 2394 2964 3192 3276 3458 4446 4788 5187 5928 6552 6916 8892 9576 10374 13832 15561 17784 20748 31122 41496 62244 124488 179827 359654 539481 613507 719308 1078962 1227014 1258789 1438616 1618443 1840521 2157924 2337751 2454028 2517578 3236886 3416713 3681042 3776367 4294549 4315848 4675502 4908056 5035156 5521563 6473772 6833426 7013253 7362084 7552734 7975591 8589098 9351004 10070312 10250139 11043126 11329101 11656633 12883647 12947544 13666852 14026506 14724168 15105468 15951182 16364257 17178196 18702008 20500278 21039759 22086252 22658202 23313266 23916991 23926773 25767294 27333704 28053012 30210936 30750417 31902364 32728514 34356392 34969899 38650941 41000556 42079518 44172504 44417269 45316404 46626532 47833982 47853546 49092771 51534588 55829137 56106024 61500834 63804728 65457028 69939798 71750973 71780319 77301882 81596431 82001112 84159036 88834538 90632808 93253064 95667964 95707092 98185542 103069176 104909697 111658274 123001668 130914056 133251807 139879596 143501946 143560638 147278313 151536229 154603764 163192862 167487411 168318072 177669076 191335928 191414184 196371084 209819394 215252919 223316548 244789293 246003336 266503614 279759192 287003892 287121276 294556626 303072458 309207528 310920883 326385724 334974822 355338152 392742168 399755421 419638788 430505838 446633096 454608687 489578586 502462233 533007228 574007784 574242552 589113252 606144916 621841766 652771448 669949644 734367879 799510842 839277576 861011676 909217374 932762649 979157172 1004924466 1060753603 1066014456 1178226504 1212289832 1243683532 1339899288 1363826061 1468735758 1599021684 1722023352 1818434748 1865525298 1958314344 2009848932 2121507206 2487367064 2727652122 2798287947 2937471516 3182260809 3198043368 3636869496 3731050596 4019697864 4243014412 5455304244 5596575894 5874943032 6364521618 7462101192 8486028824 9546782427 10910608488 11193151788 12729043236 19093564854 22386303576 25458086472 38187129708 76374259416 110325123289 220650246578 330975369867 441300493156 661950739734 772275863023 882600986312 992926109601 1323901479468 1434226602757 1544551726046 1985852219202 2096177342491 2316827589069 2647802958936 2868453205514 3089103452092 3971704438404 4192354684982 4302679808271 4633655178138 5736906411028 6178206904184 6288532027473 6950482767207 7943408876808 8384709369964 8605359616542 9267310356276 10039586219299 11473812822056 12577064054946 12908039424813 13900965534414 14673241397437 16769418739928 17210719233084 18534620712552 18865596082419 20079172438598 25154128109892 25816078849626 27250305452383 27801931068828 29346482794874 30118758657897 34421438466168 37731192164838 40158344877196 44019724192311 50308256219784 51632157699252 54500610904766 55603862137656 58692965589748 60237517315794 75462384329676 80316689754392 81750916357149 88039448384622 90356275973691 103264315398504 109001221809532 117385931179496 120475034631588 132059172576933 150924768659352 163501832714298 176078896769244 180712551947382 190752138166681 218002443619064 240950069263176 245252749071447 264118345153866 327003665428596 352157793538488 361425103894764 381504276333362 490505498142894 528236690307732 572256414500043 654007330857192 722850207789528 763008552666724 981010996285788 1056473380615464 1144512829000086 1526017105333448 1716769243500129 1962021992571576 2289025658000172 3433538487000258 4578051316000344 6867076974000516 13734153948001032
• Sum of all divisors σ(n): 48190360381363200
• Sum of proper divisors (its aliquot sum) s(n): 34456206433362168
• 13734153948001032 is an abundant number, because the sum of its proper divisors (34456206433362168) is greater than itself. Its abundance is 20722052485361136

Bases of 13734153948001032

• Binary: 110000110010110010001111100111010111000111001100001000₂
• Hexadecimal: 0x30CB23E75C7308
• Base-36: 3R8CN7ZAK20

Squares and roots of 13734153948001032

• 13734153948001032 squared (13734153948001032²) is 188626984667392333997748673065024
• 13734153948001032 cubed (13734153948001032³) is 2590632046169196553888291310176446306945355104768
• The square root of 13734153948001032 is 117192806.7246494101
• The cube root of 13734153948001032 is 239478.9270673633

Scales and comparisons

• 13,734,153,948,001,032 seconds is equal to 436,703,613 years, 6 days, 21 hours, 37 minutes, 12 seconds.
• To count from 1 to 13,734,153,948,001,032 would take you about one billion, three hundred ten million, one hundred ten thousand, eight hundred thirty-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 13734153948001032 cubic inches would be around 19956.6 feet tall.

Recreational maths with 13734153948001032

• 13734153948001032 backwards is 23010084935143731
• The number of decimal digits it has is: 17
• The sum of 13734153948001032's digits is 54
• More coming soon!