137400736009810704

Names of 137400736009810704

• Cardinal: 137400736009810704 can be written as One hundred thirty-seven quadrillion, four hundred trillion, seven hundred thirty-six billion, nine million, eight hundred ten thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.37400736009810704 × 10¹⁷

Factors of 137400736009810704

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1285232

Divisors of 137400736009810704

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 43 48 86 97 107 129 172 194 214 258 291 321 344 388 428 516 582 642 688 776 856 1032 1164 1284 1552 1712 2064 2328 2568 4171 4601 4656 5011 5136 8342 9202 10022 10379 12513 13803 15033 16684 18404 20044 20758 25026 27606 30066 31137 33368 36808 40088 41516 50052 55212 60132 62274 66736 73616 80176 83032 100104 110424 120264 124548 166064 200208 215473 220848 240528 249096 430946 446297 486067 498192 536177 646419 861892 892594 972134 1072354 1279969 1292838 1338891 1458201 1608531 1723784 1785188 1944268 2144708 2559938 2585676 2677782 2916402 3217062 3447568 3570376 3839907 3888536 4289416 5119876 5171352 5355564 5832804 6434124 7140752 7679814 7777072 8578832 10239752 10342704 10711128 11665608 12868248 15359628 20479504 20900881 21422256 23055611 23331216 25736496 30719256 41801762 46111222 52009169 55038667 61438512 62702643 69166833 83603524 92222444 104018338 110077334 124156993 125405286 136956683 138333666 156027507 165116001 167207048 184444888 208036676 220154668 248313986 250810572 273913366 276667332 312055014 330232002 334414096 368889776 372470979 410870049 416073352 440309336 496627972 501621144 547826732 553334664 624110028 660464004 744941958 821740098 832146704 880618672 993255944 1003242288 1095653464 1106669328 1248220056 1320928008 1489883916 1643480196 1986511888 2191306928 2236394267 2496440112 2641856016 2979767832 3286960392 4472788534 5338750699 5889137369 5959535664 6413924659 6573920784 6709182801 8945577068 10677501398 11778274738 12827849318 13284798251 13418365602 16016252097 17667412107 17891154136 19241773977 21355002796 23556549476 25655698636 26569596502 26836731204 32032504194 35334824214 35782308272 38483547954 39854394753 42710005592 47113098952 51311397272 53139193004 53673462408 64065008388 70669648428 76967095908 79708789506 85420011184 94226197904 102622794544 106278386008 107346924816 128130016776 141339296856 153934191816 159417579012 212556772016 256260033552 275798760337 282678593712 307868383632 318835158024 551597520674 571246324793 622150691923 637670316048 686289938513 827396281011 1103195041348 1142492649586 1244301383846 1372579877026 1654792562022 1713738974379 1866452075769 2058869815539 2206390082696 2284985299172 2488602767692 2745159754052 3309585124044 3427477948758 3732904151538 4117739631078 4412780165392 4569970598344 4977205535384 5490319508104 6619170248088 6854955897516 7465808303076 8235479262156 9139941196688 9954411070768 10980639016208 13238340496176 13709911795032 14931616606152 16470958524312 26752479752689 27419823590064 29510467356059 29863233212304 32941917048624 53504959505378 59020934712118 66570124035761 80257439258067 88531402068177 107009919010756 118041869424236 133140248071522 160514878516134 177062804136354 199710372107283 214019838021512 236083738848472 266280496143044 321029757032268 354125608272708 399420744214566 428039676043024 472167477696944 532560992286088 642059514064536 708251216545416 798841488429132 1065121984572176 1284119028129072 1416502433090832 1597682976858264 2862515333537723 3195365953716528 5725030667075446 8587546000613169 11450061334150892 17175092001226338 22900122668301784 34350184002452676 45800245336603568 68700368004905352 137400736009810704
• Sum of all divisors σ(n): 370454646095170560
• Sum of proper divisors (its aliquot sum) s(n): 233053910085359856
• 137400736009810704 is an abundant number, because the sum of its proper divisors (233053910085359856) is greater than itself. Its abundance is 95653174075549152

Bases of 137400736009810704

• Binary: 111101000001001010011110111001101101111011111001100010000₂
• Hexadecimal: 0x1E8253DCDBDF310
• Base-36: 11KWHUQ6D72O

Squares and roots of 137400736009810704

• 137400736009810704 squared (137400736009810704²) is 18878962256037691900652537912975616
• 137400736009810704 cubed (137400736009810704³) is 2593983309081015221412055597591253044766357527793664
• The square root of 137400736009810704 is 370676052.6521921189
• The cube root of 137400736009810704 is 516015.8238965435

Scales and comparisons

• 137,400,736,009,810,704 seconds is equal to 4,368,918,396 years, 37 weeks, 6 days, 20 hours, 18 minutes, 24 seconds.
• To count from 1 to 137,400,736,009,810,704 would take you about thirteen billion, one hundred six million, seven hundred fifty-five thousand, one hundred ninety 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 137400736009810704 cubic inches would be around 43001.3 feet tall.

Recreational maths with 137400736009810704

• 137400736009810704 backwards is 407018900637004731
• The number of decimal digits it has is: 18
• The sum of 137400736009810704's digits is 60
• More coming soon!