137716228879197732864

Names of 137716228879197732864

• Cardinal: 137716228879197732864 can be written as One hundred thirty-seven quintillion, seven hundred sixteen quadrillion, two hundred twenty-eight trillion, eight hundred seventy-nine billion, one hundred ninety-seven million, seven hundred thirty-two thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37716228879197732864 × 10²⁰

Factors of 137716228879197732864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 1308

Divisors of 137716228879197732864

• Number of divisors d(n): 357
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1303 1458 1536 1728 1944 2048 2304 2592 2606 2916 3072 3456 3888 3909 4096 4608 5184 5212 5832 6144 6912 7776 7818 8192 9216 10368 10424 11664 11727 12288 13824 15552 15636 16384 18432 20736 20848 23328 23454 24576 27648 31104 31272 32768 35181 36864 41472 41696 46656 46908 49152 55296 62208 62544 65536 70362 73728 82944 83392 93312 93816 98304 105543 110592 124416 125088 140724 147456 165888 166784 186624 187632 196608 211086 221184 248832 250176 281448 294912 316629 331776 333568 373248 375264 422172 442368 497664 500352 562896 589824 633258 663552 667136 746496 750528 844344 884736 949887 995328 1000704 1125792 1266516 1327104 1334272 1492992 1501056 1688688 1697809 1769472 1899774 1990656 2001408 2251584 2533032 2654208 2668544 2985984 3002112 3377376 3395618 3799548 3981312 4002816 4503168 5066064 5093427 5308416 5337088 5971968 6004224 6754752 6791236 7599096 7962624 8005632 9006336 10132128 10186854 10674176 11943936 12008448 13509504 13582472 15198192 15280281 15925248 16011264 18012672 20264256 20373708 21348352 23887872 24016896 27019008 27164944 30396384 30560562 32022528 36025344 40528512 40747416 42696704 45840843 47775744 48033792 54038016 54329888 60792768 61121124 64045056 72050688 81057024 81494832 85393408 91681686 96067584 108076032 108659776 121585536 122242248 128090112 137522529 144101376 162114048 162989664 183363372 192135168 216152064 217319552 243171072 244484496 256180224 275045058 288202752 324228096 325979328 366726744 384270336 412567587 432304128 434639104 486342144 488968992 550090116 576405504 648456192 651958656 733453488 768540672 825135174 864608256 869278208 972684288 977937984 1100180232 1152811008 1237702761 1296912384 1303917312 1466906976 1650270348 1729216512 1738556416 1945368576 1955875968 2200360464 2305622016 2475405522 2593824768 2607834624 2933813952 3300540696 3458433024 3477112832 3890737152 3911751936 4400720928 4950811044 5187649536 5215669248 5867627904 6601081392 6916866048 6954225664 7781474304 7823503872 8801441856 9901622088 10375299072 10431338496 11735255808 13202162784 13908451328 15562948608 15647007744 17602883712 19803244176 20750598144 20862676992 23470511616 26404325568 27816902656 31125897216 31294015488 35205767424 39606488352 41725353984 46941023232 52808651136 55633805312 62251794432 62588030976 70411534848 79212976704 83450707968 93882046464 105617302272 111267610624 125176061952 140823069696 158425953408 166901415936 187764092928 211234604544 250352123904 281646139392 316851906816 333802831872 375528185856 422469209088 500704247808 563292278784 633703813632 751056371712 844938418176 1001408495616 1126584557568 1267407627264 1502112743424 1689876836352 2253169115136 2534815254528 3004225486848 3379753672704 4506338230272 5069630509056 6759507345408 9012676460544 10139261018112 13519014690816 20278522036224 27038029381632 40557044072448 81114088144896
• Sum of all divisors σ(n): 137716391181062533107
• Sum of proper divisors (its aliquot sum) s(n): 162301864800243
• 137716228879197732864 is a deficient number, because the sum of its proper divisors (162301864800243) is less than itself. Its deficiency is 137716066577332932621

Bases of 137716228879197732864

• Binary: 1110111011100110010010101001000001110000110111110010000000000000000₂
• Hexadecimal: 0x77732548386F90000
• Base-36: T2AX4TIH34000

Squares and roots of 137716228879197732864

• 137716228879197732864 squared (137716228879197732864²) is 18965759696707575645352087457197505642496
• 137716228879197732864 cubed (137716228879197732864³) is 2611892903259644264291279969098688919511163225046330894188544
• 137716228879197732864 is a perfect square number. Its square root is 11735255808
• The cube root of 137716228879197732864 is 5164104.7211656881

Scales and comparisons

• 137,716,228,879,197,732,864 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,716,228,879,197,732,864 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137716228879197732864 cubic inches would be around 430342.1 feet tall.

Recreational maths with 137716228879197732864

• 137716228879197732864 backwards is 468237791978822617731
• 137716228879197732864 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137716228879197732864's digits is 108
• More coming soon!