137019977136

Names of 137019977136

• Cardinal: 137019977136 can be written as One hundred thirty-seven billion, nineteen million, nine hundred seventy-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.37019977136 × 10¹¹

Factors of 137019977136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 16254

Divisors of 137019977136

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 49 54 56 57 63 72 76 81 84 98 108 112 114 126 133 144 147 152 162 168 171 189 196 216 228 252 266 294 304 324 336 342 343 378 392 399 432 441 456 504 513 532 567 588 648 684 686 756 784 798 882 912 931 1008 1026 1029 1064 1134 1176 1197 1296 1323 1368 1372 1512 1539 1596 1764 1862 2052 2058 2128 2268 2352 2394 2646 2736 2744 2793 3024 3078 3087 3192 3528 3591 3724 3969 4104 4116 4536 4788 5292 5488 5586 6156 6174 6384 6517 7056 7182 7448 7938 8208 8232 8379 9072 9261 9576 10584 10773 11172 12312 12348 13034 14364 14896 15876 16223 16464 16758 18522 19152 19551 21168 21546 22344 24624 24696 25137 26068 27783 28728 31752 32446 33516 37044 39102 43092 44688 48669 49392 50274 52136 55566 57456 58653 63504 64892 67032 74088 75411 78204 86184 97338 100548 104272 111132 113561 117306 129784 134064 146007 148176 150822 156408 172368 175959 194676 201096 222264 227122 234612 259568 292014 301644 308237 312816 340683 351918 389352 402192 438021 444528 454244 469224 527877 584028 603288 616474 681366 703836 778704 794927 876042 908488 924711 938448 1022049 1055754 1168056 1206576 1232948 1314063 1362732 1407672 1589854 1752084 1816976 1849422 2044098 2111508 2157659 2336112 2384781 2465896 2628126 2725464 2774133 2815344 3066147 3179708 3504168 3698844 4088196 4223016 4315318 4769562 4931792 5256252 5450928 5548266 5564489 6132294 6359416 6472977 7008336 7154343 7397688 8176392 8322399 8446032 8630636 9198441 9539124 10512504 11096532 11128978 12264588 12718832 12945954 14308686 14795376 15103613 16352784 16644798 16693467 17261272 18396882 19078248 19418931 21025008 21463029 22193064 22257956 24529176 24967197 25891908 28617372 30207226 33289596 33386934 34522544 36793764 38156496 38837862 42926058 44386128 44515912 45310839 49058352 49934394 50080401 51783816 57234744 58256793 60414452 64389087 66579192 66773868 73587528 77675724 85852116 89031824 90621678 99868788 100160802 103567632 105725291 114469488 116513586 120828904 128778174 133158384 133547736 135932517 147175056 150241203 155351448 171704232 174770379 181243356 199737576 200321604 211450582 233027172 241657808 257556348 267095472 271865034 300482406 310702896 317175873 343408464 349540758 362486712 399475152 400643208 407797551 422901164 450723609 466054344 515112696 543730068 600964812 634351746 699081516 724973424 801286416 815595102 845802328 901447218 932108688 951527619 1030225392 1087460136 1201929624 1223392653 1268703492 1398163032 1631190204 1691604656 1802894436 1903055238 2174920272 2403859248 2446785306 2537406984 2796326064 2854582857 3262380408 3605788872 3806110476 4893570612 5074813968 5709165714 6524760816 7211577744 7612220952 8563748571 9787141224 11418331428 15224441904 17127497142 19574282448 22836662856 34254994284 45673325712 68509988568 137019977136
• Sum of all divisors σ(n): 486849792000
• Sum of proper divisors (its aliquot sum) s(n): 349829814864
• 137019977136 is an abundant number, because the sum of its proper divisors (349829814864) is greater than itself. Its abundance is 212809837728

Bases of 137019977136

• Binary: 1111111100111000001101110110110110000₂
• Hexadecimal: 0x1FE706EDB0
• Base-36: 1QY25N00

Squares and roots of 137019977136

• 137019977136 squared (137019977136²) is 18774474134349962762496
• 137019977136 cubed (137019977136³) is 2572478016629055289939653318291456
• The square root of 137019977136 is 370162.0957580611
• The cube root of 137019977136 is 5155.3872947517

Scales and comparisons

• 137,019,977,136 seconds is equal to 4,356 years, 42 weeks, 1 day, 8 hours, 45 minutes, 36 seconds.
• To count from 1 to 137,019,977,136 would take you about eight thousand, seven hundred thirteen 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 137019977136 cubic inches would be around 429.6 feet tall.

Recreational maths with 137019977136

• 137019977136 backwards is 631779910731
• 137019977136 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137019977136's digits is 54
• More coming soon!