137131425792

Names of 137131425792

• Cardinal: 137131425792 can be written as One hundred thirty-seven billion, one hundred thirty-one million, four hundred twenty-five thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 1.37131425792 × 10¹¹

Factors of 137131425792

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 321

Divisors of 137131425792

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 293 368 384 414 432 512 529 552 576 586 621 736 768 828 864 879 1024 1058 1104 1152 1172 1242 1472 1536 1587 1656 1728 1758 2048 2116 2208 2304 2344 2484 2637 2944 3072 3174 3312 3456 3516 4096 4232 4416 4608 4688 4761 4968 5274 5888 6144 6348 6624 6739 6912 7032 7911 8192 8464 8832 9216 9376 9522 9936 10548 11776 12288 12696 13248 13478 13824 14064 14283 15822 16384 16928 17664 18432 18752 19044 19872 20217 21096 23552 24576 25392 26496 26956 27648 28128 28566 31644 32768 33856 35328 36864 37504 38088 39744 40434 42192 47104 49152 50784 52992 53912 55296 56256 57132 60651 63288 67712 70656 73728 75008 76176 79488 80868 84384 94208 98304 101568 105984 107824 110592 112512 114264 121302 126576 135424 141312 147456 150016 152352 154997 158976 161736 168768 181953 188416 203136 211968 215648 221184 225024 228528 242604 253152 270848 282624 294912 300032 304704 309994 317952 323472 337536 363906 376832 406272 423936 431296 442368 450048 457056 464991 485208 506304 541696 565248 600064 609408 619988 635904 646944 675072 727812 753664 812544 847872 862592 884736 900096 914112 929982 970416 1012608 1083392 1130496 1200128 1218816 1239976 1271808 1293888 1350144 1394973 1455624 1625088 1695744 1725184 1800192 1828224 1859964 1940832 2025216 2166784 2260992 2400256 2437632 2479952 2543616 2587776 2700288 2789946 2911248 3250176 3391488 3450368 3600384 3656448 3719928 3881664 4050432 4184919 4333568 4800512 4875264 4959904 5087232 5175552 5400576 5579892 5822496 6500352 6782976 6900736 7200768 7312896 7439856 7763328 8100864 8369838 8667136 9601024 9750528 9919808 10174464 10351104 10801152 11159784 11644992 13000704 13801472 14401536 14625792 14879712 15526656 16201728 16739676 17334272 19501056 19839616 20348928 20702208 21602304 22319568 23289984 26001408 27602944 28803072 29251584 29759424 31053312 32403456 33479352 39002112 39679232 41404416 43204608 44639136 46579968 52002816 55205888 58503168 59518848 62106624 64806912 66958704 78004224 79358464 82808832 86409216 89278272 93159936 110411776 117006336 119037696 124213248 129613824 133917408 156008448 158716928 165617664 178556544 186319872 220823552 234012672 238075392 248426496 259227648 267834816 317433856 331235328 357113088 372639744 468025344 476150784 496852992 535669632 634867712 662470656 714226176 745279488 952301568 993705984 1071339264 1269735424 1428452352 1490558976 1904603136 1987411968 2142678528 2539470848 2856904704 2981117952 3809206272 4285357056 5078941696 5713809408 5962235904 7618412544 8570714112 11427618816 15236825088 17141428224 22855237632 34282856448 45710475264 68565712896 137131425792
• Sum of all divisors σ(n): 426192454800
• Sum of proper divisors (its aliquot sum) s(n): 289061029008
• 137131425792 is an abundant number, because the sum of its proper divisors (289061029008) is greater than itself. Its abundance is 151929603216

Bases of 137131425792

• Binary: 1111111101101101010111000000000000000₂
• Hexadecimal: 0x1FEDAB8000
• Base-36: 1QZWIDC0

Squares and roots of 137131425792

• 137131425792 squared (137131425792²) is 18805027939746802827264
• 137131425792 cubed (137131425792³) is 2578760293435875339176209010393088
• The square root of 137131425792 is 370312.6054997317
• The cube root of 137131425792 is 5156.7846707393

Scales and comparisons

• 137,131,425,792 seconds is equal to 4,360 years, 18 weeks, 3 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 137,131,425,792 would take you about eight thousand, seven hundred twenty 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 137131425792 cubic inches would be around 429.7 feet tall.

Recreational maths with 137131425792

• 137131425792 backwards is 297524131731
• The number of decimal digits it has is: 12
• The sum of 137131425792's digits is 45
• More coming soon!