137953145088

Names of 137953145088

• Cardinal: 137953145088 can be written as One hundred thirty-seven billion, nine hundred fifty-three million, one hundred forty-five thousand and eighty-eight.

Scientific notation

• Scientific notation: 1.37953145088 × 10¹¹

Factors of 137953145088

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 465

Divisors of 137953145088

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 256 264 288 297 324 352 384 396 432 449 486 528 576 594 648 704 768 792 864 891 898 972 1056 1152 1188 1296 1347 1408 1584 1728 1782 1796 1944 2112 2304 2376 2592 2673 2694 2816 3168 3456 3564 3592 3888 4041 4224 4752 4939 5184 5346 5388 6336 6912 7128 7184 7776 8082 8448 9504 9878 10368 10692 10776 12123 12672 14256 14368 14817 15552 16164 19008 19756 20736 21384 21552 24246 25344 28512 28736 29634 31104 32328 36369 38016 39512 42768 43104 44451 48492 57024 57472 59268 62208 64656 72738 76032 79024 85536 86208 88902 96984 109107 114048 114944 118536 129312 133353 145476 158048 171072 172416 177804 193968 201601 218214 228096 237072 258624 266706 290952 316096 342144 344832 355608 387936 400059 403202 436428 474144 517248 533412 581904 604803 632192 684288 711216 775872 800118 806404 872856 948288 1034496 1066824 1163808 1200177 1209606 1264384 1422432 1551744 1600236 1612808 1745712 1814409 1896576 2133648 2217611 2327616 2400354 2419212 2844864 3103488 3200472 3225616 3491424 3628818 3793152 4267296 4435222 4655232 4800708 4838424 5443227 5689728 6400944 6451232 6652833 6982848 7257636 8534592 8870444 9310464 9601416 9676848 10886454 11379456 12801888 12902464 13305666 13965696 14515272 16329681 17069184 17740888 19202832 19353696 19958499 21772908 25603776 25804928 26611332 27931392 29030544 32659362 34138368 35481776 38405664 38707392 39916998 43545816 48989043 51207552 51609856 53222664 58061088 59875497 65318724 70963552 76811328 77414784 79833996 87091632 97978086 102415104 106445328 116122176 119750994 130637448 141927104 153622656 154829568 159667992 174183264 179626491 195956172 212890656 232244352 239501988 261274896 283854208 307245312 319335984 348366528 359252982 391912344 425781312 464488704 479003976 522549792 538879473 567708416 638671968 696733056 718505964 783824688 851562624 958007952 1045099584 1077758946 1277343936 1393466112 1437011928 1567649376 1703125248 1916015904 2090199168 2155517892 2554687872 2874023856 3135298752 3832031808 4180398336 4311035784 5109375744 5748047712 6270597504 7664063616 8622071568 11496095424 12541195008 15328127232 17244143136 22992190848 34488286272 45984381696 68976572544 137953145088
• Sum of all divisors σ(n): 450987530448
• Sum of proper divisors (its aliquot sum) s(n): 313034385360
• 137953145088 is an abundant number, because the sum of its proper divisors (313034385360) is greater than itself. Its abundance is 175081240272

Bases of 137953145088

• Binary: 10000000011110101001011111000100000000₂
• Hexadecimal: 0x201EA5F100
• Base-36: 1RDHQO00

Squares and roots of 137953145088

• 137953145088 squared (137953145088²) is 19031070239670778527744
• 137953145088 cubed (137953145088³) is 2625395993953221843591783065321472
• The square root of 137953145088 is 371420.4424745627
• The cube root of 137953145088 is 5167.0643316887

Scales and comparisons

• 137,953,145,088 seconds is equal to 4,386 years, 25 weeks, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 137,953,145,088 would take you about eight thousand, seven hundred seventy-two 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 137953145088 cubic inches would be around 430.6 feet tall.

Recreational maths with 137953145088

• 137953145088 backwards is 880541359731
• 137953145088 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137953145088's digits is 54
• More coming soon!