137980717056

Names of 137980717056

• Cardinal: 137980717056 can be written as One hundred thirty-seven billion, nine hundred eighty million, seven hundred seventeen thousand and fifty-six.

Scientific notation

• Scientific notation: 1.37980717056 × 10¹¹

Factors of 137980717056

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1655

Divisors of 137980717056

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 51 52 54 56 63 64 68 72 78 84 91 96 102 104 108 112 117 119 126 128 136 144 153 156 168 182 189 192 204 208 216 221 224 234 238 252 256 272 273 288 306 312 336 351 357 364 378 384 408 416 432 442 448 459 468 476 504 512 544 546 576 612 624 663 672 702 714 728 756 768 816 819 832 864 884 896 918 936 952 1008 1024 1071 1088 1092 1152 1224 1248 1326 1344 1404 1428 1456 1512 1536 1547 1613 1632 1638 1664 1728 1768 1792 1836 1872 1904 1989 2016 2048 2142 2176 2184 2304 2448 2457 2496 2652 2688 2808 2856 2912 3024 3072 3094 3213 3226 3264 3276 3328 3456 3536 3584 3672 3744 3808 3978 4032 4284 4352 4368 4608 4641 4839 4896 4914 4992 5304 5376 5616 5712 5824 5967 6048 6144 6188 6426 6452 6528 6552 6656 6912 7072 7168 7344 7488 7616 7956 8064 8568 8704 8736 9216 9282 9678 9792 9828 9984 10608 10752 11232 11291 11424 11648 11934 12096 12376 12852 12904 13056 13104 13312 13824 13923 14144 14336 14517 14688 14976 15232 15912 16128 17136 17408 17472 18432 18564 19356 19584 19656 19968 20969 21216 21504 22464 22582 22848 23296 23868 24192 24752 25704 25808 26112 26208 26624 27421 27648 27846 28288 29034 29376 29952 30464 31824 32256 33873 34272 34816 34944 37128 38712 39168 39312 39936 41769 41938 42432 43008 43551 44928 45164 45696 46592 47736 48384 49504 51408 51616 52224 52416 54842 55296 55692 56576 58068 58752 59904 60928 62907 63648 64512 67746 68544 69888 74256 77424 78336 78624 79872 82263 83538 83876 84864 87102 89856 90328 91392 93184 95472 96768 99008 101619 102816 103232 104448 104832 109684 111384 113152 116136 117504 119808 121856 125814 127296 129024 135492 137088 139776 146783 148512 154848 156672 157248 164526 167076 167752 169728 174204 179712 180656 182784 186368 188721 190944 191947 193536 198016 203238 205632 206464 209664 219368 222768 226304 232272 235008 239616 243712 246789 251628 254592 270984 274176 279552 293566 297024 304857 309696 313344 314496 329052 334152 335504 339456 348408 356473 359424 361312 365568 377442 381888 383894 387072 396032 406476 411264 412928 419328 438736 440349 445536 452608 464544 470016 493578 503256 509184 541968 548352 559104 566163 575841 587132 594048 609714 619392 628992 658104 668304 671008 678912 696816 712946 718848 722624 731136 740367 754884 763776 767788 792064 812952 822528 825856 838656 877472 880698 891072 929088 940032 987156 1006512 1018368 1069419 1083936 1096704 1132326 1151682 1174264 1188096 1219428 1238784 1257984 1316208 1321047 1336608 1342016 1357824 1393632 1425892 1445248 1480734 1509768 1527552 1535576 1584128 1625904 1645056 1651712 1677312 1727523 1754944 1761396 1782144 1858176 1974312 2013024 2036736 2138838 2167872 2193408 2264652 2303364 2348528 2376192 2438856 2477568 2495311 2515968 2632416 2642094 2673216 2684032 2787264 2851784 2890496 2961468 3019536 3055104 3071152 3168256 3208257 3251808 3290112 3303424 3455046 3509888 3522792 3564288 3716352 3948624 3963141 4026048 4073472 4277676 4335744 4529304 4606728 4697056 4752384 4877712 4955136 4990622 5031936 5182569 5264832 5284188 5346432 5368064 5574528 5703568 5780992 5922936 6039072 6110208 6142304 6416514 6503616 6580224 6910092 7019776 7045584 7128576 7432704 7485933 7897248 7926282 8052096 8555352 8671488 9058608 9213456 9394112 9504768 9624771 9755424 9910272 9981244 10365138 10529664 10568376 10692864 10736128 11149056 11407136 11561984 11845872 12078144 12220416 12284608 12833028 13007232 13820184 14039552 14091168 14257152 14865408 14971866 15794496 15852564 16104192 17110704 17342976 18117216 18426912 18788224 19249542 19510848 19962488 20730276 21059328 21136752 21385728 21472256 22298112 22457799 22814272 23123968 23691744 24156288 24569216 25666056 26014464 27640368 28079104 28182336 28514304 29730816 29943732 31588992 31705128 32208384 34221408 34685952 36234432 36853824 37576448 38499084 39021696 39924976 41460552 42118656 42273504 42771456 42944512 44596224 44915598 45628544 47383488 48312576 49138432 51332112 52028928 55280736 56158208 56364672 59887464 63177984 63410256 64416768 67373397 68442816 69371904 72468864 73707648 75152896 76998168 78043392 79849952 82921104 84237312 84547008 85542912 89192448 89831196 91257088 94766976 96625152 98276864 102664224 104057856 110561472 112729344 119774928 126355968 126820512 128833536 134746794 136885632 144937728 147415296 150305792 153996336 156086784 159699904 165842208 168474624 169094016 179662392 182514176 189533952 193250304 196553728 205328448 208115712 221122944 225458688 239549856 252711936 253641024 269493588 273771264 289875456 294830592 300611584 307992672 312173568 319399808 331684416 338188032 359324784 365028352 379067904 386500608 393107456 410656896 442245888 450917376 479099712 505423872 507282048 538987176 547542528 579750912 589661184 615985344 624347136 638799616 663368832 676376064 718649568 730056704 758135808 821313792 884491776 901834752 958199424 1014564096 1077974352 1095085056 1159501824 1179322368 1231970688 1277599232 1326737664 1352752128 1437299136 1516271616 1642627584 1768983552 1916398848 2029128192 2155948704 2190170112 2463941376 2555198464 2653475328 2705504256 2874598272 3285255168 3537967104 3832797696 4058256384 4311897408 4927882752 5110396928 5306950656 5749196544 6570510336 7665595392 8116512768 8623794816 9855765504 10613901312 11498393088 15331190784 17247589632 19711531008 22996786176 34495179264 45993572352 68990358528 137980717056
• Sum of all divisors σ(n): 532976371200
• Sum of proper divisors (its aliquot sum) s(n): 394995654144
• 137980717056 is an abundant number, because the sum of its proper divisors (394995654144) is greater than itself. Its abundance is 257014937088

Bases of 137980717056

• Binary: 10000000100000010010101010100000000000₂
• Hexadecimal: 0x20204AA800
• Base-36: 1RDY5MO0

Squares and roots of 137980717056

• 137980717056 squared (137980717056²) is 19038678279287929307136
• 137980717056 cubed (137980717056³) is 2626970480774640718884062537711616
• The square root of 137980717056 is 371457.5575432541
• The cube root of 137980717056 is 5167.4085467289

Scales and comparisons

• 137,980,717,056 seconds is equal to 4,387 years, 18 weeks, 5 days, 57 minutes, 36 seconds.
• To count from 1 to 137,980,717,056 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 137980717056 cubic inches would be around 430.6 feet tall.

Recreational maths with 137980717056

• 137980717056 backwards is 650717089731
• 137980717056 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137980717056's digits is 54
• More coming soon!