137906894304

Names of 137906894304

• Cardinal: 137906894304 can be written as One hundred thirty-seven billion, nine hundred six million, eight hundred ninety-four thousand, three hundred four.

Scientific notation

• Scientific notation: 1.37906894304 × 10¹¹

Factors of 137906894304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 207

Divisors of 137906894304

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 131 142 144 213 216 262 284 288 393 426 432 524 568 639 786 852 864 1048 1136 1179 1278 1572 1704 1917 2096 2272 2358 2556 3144 3408 3537 3834 4192 4716 5112 6288 6816 7074 7668 9301 9432 10224 12576 14148 15336 17161 18602 18864 20448 27903 28296 30672 34322 37204 37728 51483 55806 56592 61344 68644 74408 83709 102966 111612 113184 137288 148816 154449 167418 205932 223224 251127 274576 297632 308898 334836 411864 446448 463347 502254 549152 617796 669672 823728 892896 926694 1004508 1218431 1235592 1339344 1647456 1853388 2009016 2248091 2436862 2471184 2678688 3655293 3706776 4018032 4496182 4873724 4942368 6744273 7310586 7413552 8036064 8992364 9747448 10965879 13488546 14621172 14827104 17984728 19494896 20232819 21931758 26977092 29242344 32897637 35969456 38989792 40465638 43863516 53954184 58484688 60698457 65795274 71938912 80931276 87727032 107908368 116969376 121396914 131590548 159614461 161862552 175454064 215816736 242793828 263181096 319228922 323725104 350908128 478843383 485587656 526362192 638457844 647450208 957686766 971175312 1052724384 1276915688 1436530149 1915373532 1942350624 2553831376 2873060298 3830747064 4309590447 5107662752 5746120596 7661494128 8619180894 11492241192 15322988256 17238361788 22984482384 34476723576 45968964768 68953447152 137906894304
• Sum of all divisors σ(n): 411031272960
• Sum of proper divisors (its aliquot sum) s(n): 273124378656
• 137906894304 is an abundant number, because the sum of its proper divisors (273124378656) is greater than itself. Its abundance is 135217484352

Bases of 137906894304

• Binary: 10000000011011111001000011010111100000₂
• Hexadecimal: 0x201BE435E0
• Base-36: 1RCQ7CO0

Squares and roots of 137906894304

• 137906894304 squared (137906894304²) is 19018311496574627644416
• 137906894304 cubed (137906894304³) is 2622756273398665232606633807806464
• The square root of 137906894304 is 371358.1752217123
• The cube root of 137906894304 is 5166.4868228337

Scales and comparisons

• 137,906,894,304 seconds is equal to 4,385 years, 4 days, 14 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,906,894,304 would take you about eight thousand, seven hundred seventy 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 137906894304 cubic inches would be around 430.5 feet tall.

Recreational maths with 137906894304

• 137906894304 backwards is 403498609731
• 137906894304 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137906894304's digits is 54
• More coming soon!