1013938056248704972

Names of 1013938056248704972

• Cardinal: 1013938056248704972 can be written as One quintillion, thirteen quadrillion, nine hundred thirty-eight trillion, fifty-six billion, two hundred forty-eight million, seven hundred four thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.013938056248704972 × 10¹⁸

Factors of 1013938056248704972

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 94759

Divisors of 1013938056248704972

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 11 14 22 28 44 71 77 101 142 154 202 284 308 404 497 707 781 994 1093 1111 1414 1562 1988 2186 2222 2828 3124 4372 4444 4733 5467 7171 7651 7777 9466 10934 12023 14342 15302 15554 18932 21868 24046 28684 30604 31108 33131 48092 50197 52063 66262 77603 78881 84161 88741 100394 104126 110393 132524 155206 157762 168322 177482 200788 208252 220786 310412 315524 336043 336644 354964 364441 441572 478033 543221 552167 621187 672086 728882 772751 853633 956066 976151 1086442 1104334 1214323 1242374 1344172 1457764 1545502 1707266 1912132 1952302 2172884 2208668 2352301 2428646 2484748 3091004 3346231 3414532 3696473 3904604 4704602 4857292 5173169 5258363 5975431 6300611 6692462 6833057 7392946 7837903 8500261 8962841 9409204 10346338 10516726 11950862 12601222 13384924 13666114 14785892 15675806 17000522 17925682 20692676 21033452 23901724 25202444 25875311 27332228 31351612 33940343 34001044 35851364 36212183 36808541 44104277 51750622 54865321 56904859 62739887 67880686 69306721 72424366 73617082 86216933 88208554 96993913 98591251 103501244 109730642 113809718 125479774 135761372 138613442 144848732 147234164 172433866 176417108 193987826 197182502 219461284 227619436 237582401 250959548 277226884 344867732 367294999 373343773 387975652 394365004 398334013 420011153 475164802 485147047 522490069 603518531 636361711 678957391 690138757 734589998 746687546 796668026 840022306 950329604 970294094 1044980138 1066933043 1207037062 1272723422 1357914782 1380277514 1469179996 1493375092 1593336052 1680044612 1940588188 2089960276 2133866086 2414074124 2545446844 2571064993 2613406411 2715829564 2760555028 2940078071 3657430483 4040244989 4267732172 4454531977 4620122683 5142129986 5226812822 5747390759 5880156142 6886567823 6999978821 7314860966 7468531301 8080489978 8909063954 9240245366 9796385213 10284259972 10453625644 11494781518 11760312284 13773135646 13999957642 14629721932 14937062602 16160979956 17818127908 18480490732 19592770426 22989563036 27546271292 27999915284 28281714923 29820791863 29874125204 32340858781 37096794899 39185540852 40231735313 42421126453 48205974761 48999851747 56563429846 59641583726 64681717562 68574696491 74193589798 75752246053 80463470626 84842252906 96411949522 97999703494 107760237343 113126859692 119283167452 129363435124 137149392982 148387179596 151504492106 160926941252 169684505812 192823899044 195999406988 208745543041 215520474686 259677564293 274298785964 296947885171 303008984212 328028710493 408064743889 417491086082 431040949372 459072190229 466632390983 519355128586 530265722371 593895770342 656057420986 695543350123 754321661401 816129487778 834982172164 918144380458 933264781966 1038710257172 1060531444742 1187791540684 1312114841972 1391086700246 1508643322802 1632258975556 1836288760916 1866529563932 2121062889484 2296200973451 2782173400492 2856453207223 3011899978163 3017286645604 3213505331603 3266426736881 4592401946902 4868803450861 5049794092519 5712906414446 6023799956326 6427010663206 6532853473762 7650976851353 9184803893804 9737606901722 10099588185038 11425812828892 12047599912652 12854021326412 13065706947524 15301953702706 19475213803444 20199176370076 21083299847141 30603907405412 32594125506259 33130899759793 35348558647633 42166599694282 46366291213129 53556837959471 65188251012518 66261799519586 70697117295266 84333199388564 92732582426258 107113675918942 130376502025036 132523599039172 141394234590532 185465164852516 214227351837884 228158878543813 231916298318551 324564038491903 358535380568849 456317757087626 463832596637102 510029203344419 649128076983806 717070761137698 912635514175252 927665193274204 1020058406688838 1298256153967612 1434141522275396 2040116813377676 2509747663981943 3292006676132159 3570204423410933 5019495327963886 6584013352264318 7140408846821866 10038990655927772 13168026704528636 14280817693643732 23044046732925113 36212073437453749 46088093465850226 72424146874907498 92176186931700452 144848293749814996 253484514062176243 506969028124352486 1013938056248704972
• Sum of all divisors σ(n): 2268175886932709376
• Sum of proper divisors (its aliquot sum) s(n): 1254237830684004404
• 1013938056248704972 is an abundant number, because the sum of its proper divisors (1254237830684004404) is greater than itself. Its abundance is 240299774435299432

Bases of 1013938056248704972

• Binary: 111000010010001110110100101001000010111101000011111111001100₂
• Hexadecimal: 0xE123B4A42F43FCC
• Base-36: 7PBN1KN5NP3G

Squares and roots of 1013938056248704972

• 1013938056248704972 squared (1013938056248704972²) is 1028070381909402007716283027097520784
• 1013938056248704972 cubed (1013938056248704972³) is 1042399684720082855373152144906877500346920051854138048
• The square root of 1013938056248704972 is 1006944912.2214705207
• The cube root of 1013938056248704972 is 1004624.5988662607

Scales and comparisons

• 1,013,938,056,248,704,972 seconds is equal to 32,240,093,872 years, 19 weeks, 4 days, 4 hours, 42 minutes, 52 seconds.
• To count from 1 to 1,013,938,056,248,704,972 would take you about one hundred twelve billion, eight hundred forty million, three hundred twenty-eight thousand, five hundred fifty-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 1013938056248704972 cubic inches would be around 83718.7 feet tall.

Recreational maths with 1013938056248704972

• 1013938056248704972 backwards is 2794078426508393101
• The number of decimal digits it has is: 19
• The sum of 1013938056248704972's digits is 79
• More coming soon!