137457768954880

Names of 137457768954880

• Cardinal: 137457768954880 can be written as One hundred thirty-seven trillion, four hundred fifty-seven billion, seven hundred sixty-eight million, nine hundred fifty-four thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 1.3745776895488 × 10¹⁴

Factors of 137457768954880

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 534

Divisors of 137457768954880

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 127 128 160 176 220 254 256 320 352 389 440 508 512 635 640 704 778 880 1016 1024 1270 1280 1397 1408 1556 1760 1945 2032 2540 2560 2794 2816 3112 3520 3890 4064 4279 5080 5120 5588 5632 6224 6985 7040 7780 8128 8558 10160 11176 11264 12448 13970 14080 15560 16129 16256 17116 20320 21395 22352 24896 27940 28160 31120 32258 32512 34232 40640 42790 44704 49403 49792 55880 56320 62240 64516 65024 68464 80645 81280 85580 89408 98806 99584 111760 124480 129032 130048 136928 151321 161290 162560 171160 177419 178816 197612 199168 223520 247015 248960 258064 273856 302642 322580 325120 342320 354838 357632 395224 398336 447040 494030 497920 516128 543433 547712 605284 645160 650240 684640 709676 715264 756605 790448 887095 894080 988060 995840 1032256 1086866 1095424 1210568 1290320 1369280 1419352 1430528 1513210 1580896 1664531 1774190 1788160 1976120 1991680 2064512 2173732 2190848 2421136 2580640 2717165 2738560 2838704 3026420 3161792 3329062 3548380 3576320 3952240 4129024 4347464 4381696 4842272 5161280 5434330 5477120 5677408 6052840 6274181 6323584 6658124 7096760 7152640 7904480 8258048 8322655 8694928 9684544 10322560 10868660 10954240 11354816 12105680 12548362 12647168 13316248 14193520 15808960 16516096 16645310 17389856 19217767 19369088 20645120 21737320 21908480 22709632 24211360 25096724 25294336 26632496 28387040 31370905 31617920 33290620 34779712 38435534 38738176 41290240 43474640 45419264 48422720 50193448 50588672 53264992 56774080 62741810 63235840 66581240 69015991 69559424 76871068 77476352 82580480 86949280 90838528 96088835 96845440 100386896 106529984 113548160 125483620 126471680 133162480 138031982 139118848 153742136 154952704 173898560 181677056 192177670 193690880 200773792 211395437 213059968 227096320 250967240 252943360 266324960 276063964 278237696 307484272 345079955 347797120 384355340 387381760 401547584 422790874 426119936 454192640 501934480 532649920 552127928 556475392 614968544 690159910 695594240 768710680 774763520 803095168 845581748 852239872 908385280 1003868960 1056977185 1065299840 1104255856 1229937088 1380319820 1391188480 1537421360 1606190336 1691163496 1704479744 2007737920 2113954370 2130599680 2208511712 2440656409 2459874176 2760639640 2782376960 3074842720 3212380672 3382326992 4015475840 4227908740 4261199360 4417023424 4881312818 4919748352 5521279280 6149685440 6424761344 6764653984 8030951680 8455817480 8522398720 8834046848 9762625636 9839496704 11042558560 12203282045 12299370880 13529307968 16061903360 16911634960 17668093696 19525251272 19678993408 22085117120 24406564090 24598741760 26847220499 27058615936 32123806720 33823269920 35336187392 39050502544 44170234240 48813128180 49197483520 53694440998 54117231872 67646539840 70672374784 78101005088 88340468480 97626256360 98394967040 107388881996 108234463744 134236102495 135293079680 156202010176 176680936960 195252512720 214777763992 216468927488 268472204990 270586159360 312404020352 353361873920 390505025440 429555527984 536944409980 541172318720 624808040704 781010050880 859111055968 1073888819960 1082344637440 1249616081408 1562020101760 1718222111936 2147777639920 2499232162816 3124040203520 3436444223872 4295555279840 6248080407040 6872888447744 8591110559680 12496160814080 13745776895488 17182221119360 27491553790976 34364442238720 68728884477440 137457768954880
• Sum of all divisors σ(n): 363502846308168
• Sum of proper divisors (its aliquot sum) s(n): 226045077353288
• 137457768954880 is an abundant number, because the sum of its proper divisors (226045077353288) is greater than itself. Its abundance is 88587308398408

Bases of 137457768954880

• Binary: 11111010000010001100001011111010111110000000000₂
• Hexadecimal: 0x7D04617D7C00
• Base-36: 1CQ386KXDS

Squares and roots of 137457768954880

• 137457768954880 squared (137457768954880²) is 18894638246053171927475814400
• 137457768954880 cubed (137457768954880³) is 2597214818512015990862336131514364854272000
• The square root of 137457768954880 is 11724238.5234555851
• The cube root of 137457768954880 is 51608.7210780303

Scales and comparisons

• 137,457,768,954,880 seconds is equal to 4,370,731 years, 45 weeks, 22 hours, 34 minutes, 40 seconds.
• To count from 1 to 137,457,768,954,880 would take you about ten million, nine hundred twenty-six thousand, eight hundred twenty-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 137457768954880 cubic inches would be around 4300.7 feet tall.

Recreational maths with 137457768954880

• 137457768954880 backwards is 088459867754731
• The number of decimal digits it has is: 15
• The sum of 137457768954880's digits is 82
• More coming soon!