137498281704117040

Names of 137498281704117040

• Cardinal: 137498281704117040 can be written as One hundred thirty-seven quadrillion, four hundred ninety-eight trillion, two hundred eighty-one billion, seven hundred four million, one hundred seventeen thousand and forty.

Scientific notation

• Scientific notation: 1.3749828170411704 × 10¹⁷

Factors of 137498281704117040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 47095

Divisors of 137498281704117040

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 257 280 301 344 430 514 521 560 602 688 860 941 1028 1042 1204 1285 1505 1720 1799 1882 2056 2084 2408 2570 2605 3010 3440 3598 3647 3764 4112 4168 4705 4816 5140 5210 6020 6587 7196 7294 7528 8336 8995 9410 10280 10420 11051 12040 13174 14392 14588 15056 17990 18235 18820 20560 20840 22102 22403 24080 26348 28784 29176 32935 35980 36470 37640 40463 41680 44204 44806 45319 52696 55255 58352 65870 71960 72940 75280 77357 80926 88408 89612 90638 105392 110510 112015 131740 133897 143920 145880 154714 156821 161852 176816 179224 181276 202315 221020 224030 226595 241837 263480 267794 283241 291760 309428 313642 317233 323704 358448 362552 386785 404630 442040 448060 453190 483674 490261 526960 535588 566482 618856 627284 634466 647408 669485 725104 773570 784105 809260 884080 896120 906380 937279 967348 980522 1071176 1132964 1209185 1237712 1254568 1268932 1338970 1416205 1547140 1568210 1586165 1618520 1692859 1792240 1812760 1874558 1934696 1948717 1961044 2142352 2265928 2418370 2451305 2509136 2537864 2677940 2832410 3094280 3136420 3172330 3237040 3385718 3431827 3625520 3749116 3869392 3897434 3922088 4531856 4686395 4836740 4902610 5075728 5355880 5664820 5757571 6188560 6272840 6344660 6771436 6863654 7498232 7794868 7844176 8464295 9372790 9673480 9743585 9805220 10398991 10711760 11329640 11515142 11646983 12545680 12689320 13542872 13641019 13727308 14996464 15589736 16928590 17159135 18745580 19346960 19487170 19610440 20797982 21081223 22659280 23030284 23293966 23611199 25378640 27085744 27282038 27454616 28787855 31179472 33857180 34318270 37491160 38974340 39220880 40302997 41595964 42162446 42645179 46060568 46587932 47222398 51994955 54564076 54909232 57575710 58234915 67714360 68205095 68636540 72792937 74982320 77948680 80605994 81528881 83191928 84324892 85290358 92121136 93175864 94444796 103989910 105406115 109128152 115151420 116469830 118055995 125997077 135428720 136410190 137273080 145585874 147568561 155897360 161211988 163057762 165278393 166383856 168649784 170580716 186351728 188889592 201514985 207979820 210812230 213225895 218256304 230302840 232939660 236111990 251994154 272820380 274546160 291171748 295137122 298516253 322423976 326115524 330556786 337299568 341161432 363964685 377779184 403029970 407644405 415959640 421624460 426451790 460605680 465879320 472223980 500820269 503988308 545640760 582343496 590274244 597032506 629985385 644847952 652231048 661113572 682322864 727929370 737842805 806059940 815288810 826391965 831919280 843248920 852903580 881979539 931758640 944447960 1001640538 1007976616 1015281557 1091281520 1164686992 1180548488 1194065012 1259970770 1304462096 1322227144 1455858740 1475685610 1492581265 1612119880 1630577620 1652783930 1686497840 1705807160 1763959078 1833742697 1888895920 2003281076 2015953232 2030563114 2361096976 2388130024 2504101345 2519941540 2644454288 2911717480 2951371220 2985162530 3224239760 3261155240 3305567860 3411614320 3505741883 3527918156 3667485394 4006562152 4061126228 4409897695 4776260048 5008202690 5039883080 5076407785 5417874311 5823434960 5902742440 5970325060 6068078143 6522310480 6611135720 7011483766 7055836312 7106970899 7334970788 8013124304 8122252456 8819795390 9168713485 10016405380 10079766160 10152815570 10835748622 10959811003 11805484880 11940650120 12136156286 12836198879 13222271440 14022967532 14111672624 14213941798 14669941576 16244504912 17528709415 17639590780 18337426970 20032810760 20305631140 21671497244 21919622006 22218138259 23881300240 24272312572 25672397758 27089371555 28045935064 28427883596 29339883152 30340390715 35057418830 35279181560 35534854495 36674853940 37925120177 40065621520 40611262280 42476547001 43342994488 43839244012 44436276518 48544625144 51344795516 54178743110 54799055015 56091870128 56855767192 60680781430 64180994395 70114837660 70558363120 71069708990 73349707880 75850240354 76718677021 81222524560 84953094002 86685988976 87678488024 88872553036 97089250288 102689591032 108357486220 109598110030 111090691295 113711534384 121361562860 128361988790 140229675320 142139417980 146699415760 151700480708 153437354042 155526967813 169906188004 175356976048 177745106072 189625600885 205379182064 212382735005 216714972440 219196220060 222181382590 242723125720 256723977580 260927360149 280459350640 284278835960 303400961416 306874708084 311053935626 339812376008 355490212144 379251201770 383593385105 424765470010 433429944880 438392440120 444362765180 471271873129 485446251440 513447955160 521854720298 568557671920 606801922832 613749416168 622107871252 679624752016 758502403540 767186770210 777634839065 849530940020 876784880240 888725530360 942543746258 955379945137 1026895910320 1043709440596 1227498832336 1244215742504 1304636800745 1517004807080 1534373540420 1555269678130 1699061880040 1777451060720 1826491521043 1885087492516 1910759890274 2087418881192 2356359365645 2488431485008 2609273601490 3034009614160 3068747080840 3110539356260 3298903111903 3398123760080 3652983042086 3770174985032 3821519780548 4174837762384 4712718731290 4776899725685 5218547202980 5710061532563 6137494161680 6221078712520 6597806223806 6687659615959 7305966084172 7540349970064 7643039561096 9132457605215 9425437462580 9553799451370 10437094405960 11420123065126 12442157425040 13195612447612 13375319231918 14611932168344 15286079122192 16494515559515 18264915210430 18850874925160 19107598902740 20874188811920 22840246130252 26391224895224 26750638463836 28550307662815 29223864336688 32989031119030 33438298079795 36529830420860 37701749850320 38215197805480 39970430727941 45680492260504 52782449790448 53501276927672 57100615325630 65978062238060 66876596159590 73059660841720 76430395610960 79940861455882 91360984521008 107002553855344 114201230651260 131956124476120 133753192319180 146119321683440 159881722911764 199852153639705 228402461302520 245532645900209 263912248952240 267506384638360 319763445823528 399704307279410 456804922605040 491065291800418 535012769276720 639526891647056 799408614558820 982130583600836 1227663229501045 1598817229117640 1718728521301463 1964261167201672 2455326459002090 3197634458235280 3437457042602926 3928522334403344 4910652918004180 6874914085205852 8593642606507315 9821305836008360 13749828170411704 17187285213014630 19642611672016720 27499656340823408 34374570426029260 68749140852058520 137498281704117040
• Sum of all divisors σ(n): 376432074113863680
• Sum of proper divisors (its aliquot sum) s(n): 238933792409746640
• 137498281704117040 is an abundant number, because the sum of its proper divisors (238933792409746640) is greater than itself. Its abundance is 101435510705629600

Bases of 137498281704117040

• Binary: 111101000011111011111010101101110001100110101001100110000₂
• Hexadecimal: 0x1E87DF56E335330
• Base-36: 11LV2MLM78Z4

Squares and roots of 137498281704117040

• 137498281704117040 squared (137498281704117040²) is 18905777471584726741397286018361600
• 137498281704117040 cubed (137498281704117040³) is 2599511916623306344987780267951556931691755441664000
• The square root of 137498281704117040 is 370807607.3978486219
• The cube root of 137498281704117040 is 516137.9077038671

Scales and comparisons

• 137,498,281,704,117,040 seconds is equal to 4,372,020,048 years, 4 weeks, 1 day, 8 hours, 30 minutes, 40 seconds.
• To count from 1 to 137,498,281,704,117,040 would take you about thirteen billion, one hundred sixteen million, sixty thousand, one hundred forty-four 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 137498281704117040 cubic inches would be around 43011.5 feet tall.

Recreational maths with 137498281704117040

• 137498281704117040 backwards is 040711407182894731
• The number of decimal digits it has is: 18
• The sum of 137498281704117040's digits is 67
• More coming soon!