137977934976

Names of 137977934976

• Cardinal: 137977934976 can be written as One hundred thirty-seven billion, nine hundred seventy-seven million, nine hundred thirty-four thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.37977934976 × 10¹¹

Factors of 137977934976

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 491

Divisors of 137977934976

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 343 378 384 392 432 441 448 479 486 504 567 576 588 648 672 686 729 756 784 864 882 896 958 972 1008 1029 1134 1152 1176 1296 1323 1344 1372 1437 1458 1512 1568 1701 1728 1764 1916 1944 2016 2058 2187 2268 2352 2592 2646 2688 2744 2874 2916 3024 3087 3136 3353 3402 3456 3528 3832 3888 3969 4032 4116 4311 4374 4536 4704 5103 5184 5292 5488 5748 5832 6048 6174 6272 6561 6706 6804 7056 7664 7776 7938 8064 8232 8622 8748 9072 9261 9408 10059 10206 10368 10584 10976 11496 11664 11907 12096 12348 12933 13122 13412 13608 14112 15309 15328 15552 15876 16464 17244 17496 18144 18522 18816 20118 20412 21168 21952 22992 23328 23471 23814 24192 24696 25866 26244 26824 27216 27783 28224 30177 30618 30656 31104 31752 32928 34488 34992 35721 36288 37044 38799 40236 40824 42336 43904 45927 45984 46656 46942 47628 49392 51732 52488 53648 54432 55566 56448 60354 61236 61312 63504 65856 68976 69984 70413 71442 72576 74088 77598 80472 81648 83349 84672 90531 91854 91968 93312 93884 95256 98784 103464 104976 107163 107296 108864 111132 116397 120708 122472 127008 131712 137952 139968 140826 142884 148176 155196 160944 163296 164297 166698 169344 181062 183708 183936 187768 190512 197568 206928 209952 211239 214326 214592 217728 222264 232794 241416 244944 250047 254016 271593 275904 279936 281652 285768 296352 310392 321489 321888 326592 328594 333396 349191 362124 367416 375536 381024 395136 413856 419904 422478 428652 429184 444528 465588 482832 489888 492891 500094 508032 543186 551808 563304 571536 592704 620784 633717 642978 643776 653184 657188 666792 698382 724248 734832 750141 751072 762048 814779 827712 839808 844956 857304 889056 931176 965664 979776 985782 1000188 1047573 1086372 1126608 1143072 1185408 1241568 1267434 1285956 1287552 1314376 1333584 1396764 1448496 1469664 1478673 1500282 1502144 1524096 1629558 1655424 1689912 1714608 1778112 1862352 1901151 1931328 1959552 1971564 2000376 2095146 2172744 2250423 2253216 2286144 2444337 2483136 2534868 2571912 2628752 2667168 2793528 2896992 2939328 2957346 3000564 3004288 3142719 3259116 3379824 3429216 3556224 3724704 3802302 3862656 3943128 4000752 4190292 4345488 4436019 4500846 4506432 4572288 4888674 4966272 5069736 5143824 5257504 5334336 5587056 5703453 5793984 5878656 5914692 6001128 6285438 6518232 6759648 6858432 7333011 7449408 7604604 7886256 8001504 8380584 8690976 8872038 9001692 9012864 9777348 10139472 10287648 10515008 10668672 11174112 11406906 11587968 11829384 12002256 12570876 13036464 13308057 13519296 13716864 14666022 14898816 15209208 15772512 16003008 16761168 17110359 17381952 17744076 18003384 19554696 20278944 20575296 21030016 21999033 22348224 22813812 23658768 24004512 25141752 26072928 26616114 27038592 29332044 30418416 31545024 32006016 33522336 34220718 34763904 35488152 36006768 39109392 39924171 40557888 41150592 43998066 44696448 45627624 47317536 48009024 50283504 51331077 52145856 53232228 58664088 60836832 63090048 67044672 68441436 70976304 72013536 78218784 79848342 81115776 87996132 91255248 94635072 96018048 100567008 102662154 104291712 106464456 117328176 119772513 121673664 134089344 136882872 141952608 144027072 153993231 156437568 159696684 175992264 182510496 189270144 201134016 205324308 212928912 234656352 239545026 243347328 273765744 283905216 288054144 307986462 312875136 319393368 351984528 359317539 365020992 402268032 410648616 425857824 469312704 479090052 547531488 567810432 615972924 638786736 703969056 718635078 730041984 821297232 851715648 938625408 958180104 1077952617 1095062976 1231945848 1277573472 1407938112 1437270156 1642594464 1703431296 1916360208 2155905234 2190125952 2463891696 2555146944 2815876224 2874540312 3285188928 3832720416 4311810468 4927783392 5110293888 5749080624 6570377856 7665440832 8623620936 9855566784 11498161248 15330881664 17247241872 19711133568 22996322496 34494483744 45992644992 68988967488 137977934976
• Sum of all divisors σ(n): 481815360000
• Sum of proper divisors (its aliquot sum) s(n): 343837425024
• 137977934976 is an abundant number, because the sum of its proper divisors (343837425024) is greater than itself. Its abundance is 205859490048

Bases of 137977934976

• Binary: 10000000100000001000000011010010000000₂
• Hexadecimal: 0x2020203480
• Base-36: 1RDWI000

Squares and roots of 137977934976

• 137977934976 squared (137977934976²) is 19037910540241284120576
• 137977934976 cubed (137977934976³) is 2626811582600316931739576671666176
• The square root of 137977934976 is 371453.8127089287
• The cube root of 137977934976 is 5167.3738166571

Scales and comparisons

• 137,977,934,976 seconds is equal to 4,387 years, 14 weeks, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 137,977,934,976 would take you about eight thousand, seven hundred seventy-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 137977934976 cubic inches would be around 430.6 feet tall.

Recreational maths with 137977934976

• 137977934976 backwards is 679439779731
• 137977934976 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137977934976's digits is 72
• More coming soon!