137192021974917

Names of 137192021974917

• Cardinal: 137192021974917 can be written as One hundred thirty-seven trillion, one hundred ninety-two billion, twenty-one million, nine hundred seventy-four thousand, nine hundred seventeen.

Scientific notation

• Scientific notation: 1.37192021974917 × 10¹⁴

Factors of 137192021974917

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 8799

Divisors of 137192021974917

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 7 9 13 17 21 27 39 41 51 63 81 91 117 119 123 153 189 221 243 273 287 351 357 369 459 533 567 663 697 819 861 1053 1071 1107 1181 1377 1547 1599 1701 1989 2091 2457 2583 3159 3213 3321 3543 3731 4131 4641 4797 4879 5967 6273 7371 7537 7749 8267 9061 9639 9963 10629 11193 13923 14391 14637 15353 17901 18819 20077 22113 22611 23247 24801 27183 28917 31887 33579 41769 43173 43911 46059 48421 52759 53703 56457 60231 63427 67833 69741 74403 81549 95661 97981 100737 107471 125307 128129 129519 131733 138177 140539 145263 158277 169371 180693 190281 203499 223209 244647 261001 286983 293943 302211 309017 322413 338947 375921 384387 395199 414531 421617 435789 474831 542079 570843 610497 629473 669627 685867 733941 783003 823157 881829 896903 906633 927051 967239 1016841 1153161 1185597 1243593 1264851 1307367 1424493 1626237 1665677 1712529 1827007 1831491 1888419 2008881 2057601 2163119 2201823 2349009 2469471 2645487 2690709 2781153 2901717 3050523 3459483 3730779 3794553 3922101 4017221 4273479 4406311 4878711 4997031 5137587 5253289 5481021 5665257 5762099 6172803 6489357 7047027 7408413 7936461 8072127 8343459 8705151 8901197 9151569 10378449 10701041 11383659 11659739 11766303 12051663 12820437 13218933 14991093 15412761 15759867 16443063 16995771 17286297 18518409 19468071 21141081 22225239 23809383 24216381 25030377 26115453 26703591 27454707 28120547 31135347 32103123 34150977 34979217 36154989 36773023 39656799 44973279 47279601 49329189 50987313 51858891 55555227 58404213 62308379 63423243 66675717 68292757 72649143 74907287 75091131 80110773 82364121 84361641 96309369 104937651 108464967 110319069 115715561 118970397 134919837 141838803 147987567 151320349 152961939 155576673 166665681 175212639 186925137 200027151 204878271 217947429 224721861 240332319 253084923 288928107 314812953 325394901 330957207 347146683 356911191 364949077 404759511 425516409 443962701 453961047 466730019 478049299 525637917 560775411 614634813 674165583 720996957 759254769 810008927 866784321 944438859 976184703 992871621 1041440049 1059242443 1070733573 1094847231 1276549227 1361883141 1400190057 1434147897 1682326233 1843904439 1967164537 2022496749 2162990871 2277764307 2430026781 2554643539 2600352963 2833316577 2978614863 3124320147 3177727329 3284541693 4085649423 4302443691 4744338001 5046978699 5531713317 5901493611 6067490247 6204134309 6833292921 7290080343 7663930617 8935844589 9372960441 9533181987 9853625079 12256948269 12907331073 13770151759 14233014003 15140936097 16595139951 17704480833 18202470741 18612402927 21870241029 22991791851 28118881323 28599545961 29560875237 33210366007 36770844807 38721993219 41310455277 42699042009 43428940163 53113442499 55837208781 65610723087 68975375553 80653746017 85798637883 88682625711 99631098021 116165979657 123931365831 128097126027 130286820489 159340327497 167511626343 196832169261 206926126659 241961238051 257395913649 298893294063 371794097493 384291378081 390860461467 478020982491 502534879029 564576222119 620778379977 725883714153 896679882189 1115382292479 1152874134243 1172581384401 1507604637087 1693728666357 2177651142459 2690039646567 3346146877437 3517744153203 5081185999071 6532953427377 8070118939701 10553232459609 15243557997213 19598860282131 45730673991639 137192021974917
• Sum of all divisors σ(n): 274609028348928
• Sum of proper divisors (its aliquot sum) s(n): 137417006374011
• 137192021974917 is an abundant number, because the sum of its proper divisors (137417006374011) is greater than itself. Its abundance is 224984399094

Bases of 137192021974917

• Binary: 11111001100011010000001101111000101111110000101₂
• Hexadecimal: 0x7CC681BC5F85
• Base-36: 1CMP57OVB9

Squares and roots of 137192021974917

• 137192021974917 squared (137192021974917²) is 18821650893566109024977156889
• 137192021974917 cubed (137192021974917³) is 2582180342994337818445745944739637531753213
• The square root of 137192021974917 is 11712899.8106752795
• The cube root of 137192021974917 is 51575.4412576521

Scales and comparisons

• 137,192,021,974,917 seconds is equal to 4,362,281 years, 48 weeks, 4 days, 17 hours, 1 minute, 57 seconds.
• To count from 1 to 137,192,021,974,917 would take you about ten million, nine hundred five thousand, seven hundred 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 137192021974917 cubic inches would be around 4298 feet tall.

Recreational maths with 137192021974917

• 137192021974917 backwards is 719479120291731
• 137192021974917 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137192021974917's digits is 63
• More coming soon!