137327256960768

Names of 137327256960768

• Cardinal: 137327256960768 can be written as One hundred thirty-seven trillion, three hundred twenty-seven billion, two hundred fifty-six million, nine hundred sixty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37327256960768 × 10¹⁴

Factors of 137327256960768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7296

Divisors of 137327256960768

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 421 441 448 504 576 588 672 768 784 842 882 896 1008 1152 1176 1263 1344 1568 1684 1764 1792 2016 2304 2352 2526 2688 2947 3136 3368 3528 3789 4032 4704 5052 5376 5894 6272 6736 6863 7056 7578 8064 8841 9408 10104 11788 12544 13472 13726 14112 15156 16128 17682 18816 20208 20589 20629 23576 26523 26944 27452 28224 30312 35364 37632 40416 41178 41258 47152 48041 53046 53888 54904 56448 60624 61767 61887 70728 80832 82356 82516 94304 96082 106092 107776 109808 112896 121248 123534 123774 141456 144123 161664 164712 165032 177241 185661 188608 192164 212184 219616 242496 247068 247548 282912 288246 323328 329424 330064 336287 354482 371322 377216 384328 424368 432369 439232 484992 494136 495096 531723 565824 576492 658848 660128 672574 708964 742644 754432 768656 848736 864738 878464 969984 988272 990192 1008861 1063446 1131648 1152984 1240687 1317696 1320256 1345148 1417928 1485288 1537312 1595169 1697472 1729476 1756928 1976544 1980384 2017722 2126892 2263296 2305968 2481374 2635392 2640512 2690296 2835856 2889323 2970576 3026583 3074624 3190338 3394944 3458952 3722061 3953088 3960768 4035444 4253784 4611936 4962748 5270784 5281024 5380592 5671712 5778646 5941152 6053166 6149248 6380676 6789888 6917904 7444122 7906176 7921536 8070888 8507568 8667969 8684809 9223872 9925496 10761184 11166183 11343424 11557292 11882304 12106332 12298496 12761352 13835808 14888244 15812352 15843072 16141776 17015136 17335938 17369618 18447744 19850992 20225261 21522368 22332366 22686848 23114584 23764608 24212664 25522704 26003907 26054427 27671616 29776488 32283552 34030272 34671876 34739236 36895488 39701984 40450522 43044736 44664732 45373696 46229168 47529216 48425328 51045408 52007814 52108854 55343232 59552976 60675783 64567104 68060544 69343752 69478472 78163281 79403968 80901044 86089472 89329464 92458336 96850656 102090816 104015628 104217708 110686464 119105952 121351566 129134208 136121088 138687504 138956944 141576827 156326562 158807936 161802088 178658928 182027349 184916672 193701312 204181632 208031256 208435416 238211904 242703132 258268416 277375008 277913888 283153654 312653124 317615872 323604176 357317856 364054698 369833344 387402624 408363264 416062512 416870832 424730481 476423808 485406264 554750016 555827776 566307308 625306248 647208352 714635712 728109396 739666688 774805248 832125024 833741664 849460962 952847616 970812528 1109500032 1111655552 1132614616 1216404983 1250612496 1274191443 1294416704 1429271424 1456218792 1664250048 1667483328 1698921924 1941625056 2219000064 2223311104 2265229232 2432809966 2501224992 2548382886 2588833408 2858542848 2912437584 3328500096 3334966656 3397843848 3649214949 3883250112 4530458464 4865619932 5002449984 5096765772 5177666816 5824875168 6657000192 6669933312 6795687696 7298429898 7766500224 8514834881 9060916928 9731239864 10004899968 10193531544 10947644847 11649750336 13591375392 14596859796 15533000448 17029669762 18121833856 19462479728 20009799936 20387063088 21895289694 23299500672 25544504643 27182750784 29193719592 34059339524 36243667712 38924959456 40774126176 43790579388 46599001344 51089009286 54365501568 58387439184 59603844167 68118679048 76633513929 77849918912 81548252352 87581158776 102178018572 108731003136 116774878368 119207688334 136237358096 153267027858 155699837824 163096504704 175162317552 178811532501 204356037144 233549756736 238415376668 272474716192 306534055716 311399675648 326193009408 350324635104 357623065002 408712074288 467099513472 476830753336 536434597503 544949432384 613068111432 700649270208 715246130004 817424148576 934199026944 953661506672 1072869195006 1089898864768 1226136222864 1401298540416 1430492260008 1634848297152 1907323013344 2145738390012 2179797729536 2452272445728 2802597080832 2860984520016 3269696594304 3814646026688 4291476780024 4904544891456 5721969040032 6539393188608 7629292053376 8582953560048 9809089782912 11443938080064 15258584106752 17165907120096 19618179565824 22887876160128 34331814240192 45775752320256 68663628480384 137327256960768
• Sum of all divisors σ(n): 461756879215632
• Sum of proper divisors (its aliquot sum) s(n): 324429622254864
• 137327256960768 is an abundant number, because the sum of its proper divisors (324429622254864) is greater than itself. Its abundance is 187102365294096

Bases of 137327256960768

• Binary: 11111001110010111111110010111100111111100000000₂
• Hexadecimal: 0x7CE5FE5E7F00
• Base-36: 1COF9R3Y80

Squares and roots of 137327256960768

• 137327256960768 squared (137327256960768²) is 18858775504368803108291149824
• 137327256960768 cubed (137327256960768³) is 2589823909653891766647300679161474378104832
• The square root of 137327256960768 is 11718671.2967284819
• The cube root of 137327256960768 is 51592.3822659631

Scales and comparisons

• 137,327,256,960,768 seconds is equal to 4,366,581 years, 51 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,327,256,960,768 would take you about ten million, nine hundred sixteen thousand, four hundred fifty-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 137327256960768 cubic inches would be around 4299.4 feet tall.

Recreational maths with 137327256960768

• 137327256960768 backwards is 867069652723731
• 137327256960768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137327256960768's digits is 72
• More coming soon!