137639694816

Names of 137639694816

• Cardinal: 137639694816 can be written as One hundred thirty-seven billion, six hundred thirty-nine million, six hundred ninety-four thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.37639694816 × 10¹¹

Factors of 137639694816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 144

Divisors of 137639694816

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 107 114 117 144 152 156 169 171 208 214 228 234 247 288 304 312 321 338 342 416 428 456 468 494 507 608 624 642 676 684 741 856 912 936 963 988 1014 1248 1284 1352 1368 1391 1482 1521 1712 1824 1872 1926 1976 2028 2033 2197 2223 2568 2704 2736 2782 2964 3042 3211 3424 3744 3852 3952 4056 4066 4173 4394 4446 5136 5408 5472 5564 5928 6084 6099 6422 6591 7704 7904 8112 8132 8346 8788 8892 9633 10272 11128 11449 11856 12168 12198 12519 12844 13182 15408 16224 16264 16692 17576 17784 18083 18297 19266 19773 22256 22898 23712 24336 24396 25038 25688 26364 26429 28899 30816 32528 33384 34347 35152 35568 36166 36594 38532 39546 41743 44512 45796 48672 48792 50076 51376 52728 52858 54249 57798 65056 66768 68694 70304 71136 72332 73188 77064 79092 79287 83486 91592 97584 100152 102752 103041 105456 105716 108498 115596 125229 133536 137388 144664 146376 148837 154128 158184 158574 162747 166972 183184 195168 200304 206082 210912 211432 216996 217531 231192 235079 237861 250458 274776 289328 292752 297674 308256 316368 317148 325494 333944 343577 366368 375687 400608 412164 422864 433992 435062 446511 462384 470158 475722 500916 549552 578656 585504 595348 632736 634296 650988 652593 667888 687154 705237 751374 824328 845728 867984 870124 893022 924768 940316 951444 1001832 1030731 1099104 1190696 1268592 1301976 1305186 1335776 1339533 1374308 1410474 1502748 1648656 1735968 1740248 1786044 1880632 1902888 1934881 1957779 2003664 2061462 2115711 2381392 2537184 2603952 2610372 2679066 2748616 2820948 2827903 3005496 3092193 3297312 3480496 3572088 3761264 3805776 3869762 3915558 4007328 4122924 4231422 4466501 4762784 5207904 5220744 5358132 5497232 5641896 5655806 5804643 6010992 6184386 6960992 7144176 7522528 7611552 7739524 7831116 8245848 8462844 8483709 8933002 10441488 10716264 10994464 11283792 11311612 11609286 12021984 12368772 13399503 14288352 15479048 15662232 16491696 16925688 16967418 17413929 17866004 20882976 21432528 22567584 22623224 23218572 24737544 25153453 25451127 26799006 30958096 31324464 32983392 33851376 33934836 34827858 35732008 36762739 40198509 42865056 45246448 46437144 49475088 50306906 50902254 53598012 61916192 62648928 67702752 67869672 69655716 71464016 73525478 75460359 80397018 90492896 92874288 98950176 100613812 101804508 107196024 110288217 135739344 139311432 142928032 147050956 150920718 160794036 185748576 201227624 203609016 214392048 220576434 226381077 271478688 278622864 294101912 301841436 321588072 330864651 402455248 407218032 428784096 441152868 452762154 477915607 557245728 588203824 603682872 643176144 661729302 804910496 814436064 882305736 905524308 955831214 1176407648 1207365744 1286352288 1323458604 1433746821 1764611472 1811048616 1911662428 2414731488 2646917208 2867493642 3529222944 3622097232 3823324856 4301240463 5293834416 5734987284 7244194464 7646649712 8602480926 10587668832 11469974568 15293299424 17204961852 22939949136 34409923704 45879898272 68819847408 137639694816
• Sum of all divisors σ(n): 450542710800
• Sum of proper divisors (its aliquot sum) s(n): 312903015984
• 137639694816 is an abundant number, because the sum of its proper divisors (312903015984) is greater than itself. Its abundance is 175263321168

Bases of 137639694816

• Binary: 10000000001011111101110001000111100000₂
• Hexadecimal: 0x200BF711E0
• Base-36: 1R8B4C80

Squares and roots of 137639694816

• 137639694816 squared (137639694816²) is 18944685589041617273856
• 137639694816 cubed (137639694816³) is 2607540742860761395496613735530496
• The square root of 137639694816 is 370998.2409877437
• The cube root of 137639694816 is 5163.1479151363

Scales and comparisons

• 137,639,694,816 seconds is equal to 4,376 years, 26 weeks, 6 days, 33 minutes, 36 seconds.
• To count from 1 to 137,639,694,816 would take you about eight thousand, seven hundred fifty-three 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 137639694816 cubic inches would be around 430.3 feet tall.

Recreational maths with 137639694816

• 137639694816 backwards is 618496936731
• The number of decimal digits it has is: 12
• The sum of 137639694816's digits is 63
• More coming soon!