137417994912

Names of 137417994912

• Cardinal: 137417994912 can be written as One hundred thirty-seven billion, four hundred seventeen million, nine hundred ninety-four thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.37417994912 × 10¹¹

Factors of 137417994912

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 632

Divisors of 137417994912

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 127 132 152 176 199 209 228 254 264 271 304 352 381 398 418 456 508 528 542 597 608 627 762 796 813 836 912 1016 1056 1084 1194 1254 1397 1524 1592 1626 1672 1824 2032 2168 2189 2388 2413 2508 2794 2981 3048 3184 3252 3344 3781 4064 4191 4336 4378 4776 4826 5016 5149 5588 5962 6096 6368 6504 6567 6688 7239 7562 8382 8672 8756 8943 9552 9652 10032 10298 11176 11343 11924 12192 13008 13134 14478 15124 15447 16764 17512 17886 19104 19304 20064 20596 22352 22686 23848 25273 26016 26268 26543 28956 30248 30894 33528 34417 35024 35772 38608 41192 41591 44704 45372 47696 50546 52536 53086 53929 56639 57912 60496 61788 67056 68834 70048 71544 75819 77216 79629 82384 83182 90744 95392 101092 103251 105072 106172 107858 113278 115824 120992 123576 124773 134112 137668 143088 151638 159258 161787 164768 166364 169917 181488 202184 206502 210144 212344 215716 226556 231648 247152 249546 275336 278003 286176 303276 318516 323574 332728 339834 362976 378587 404368 413004 424688 431432 453112 480187 494304 499092 550672 556006 593219 606552 637032 647148 653923 665456 679668 757174 808736 826008 834009 849376 862864 906224 960374 998184 1024651 1101344 1112012 1135761 1186438 1213104 1274064 1294296 1307846 1330912 1359336 1440561 1514348 1652016 1668018 1725728 1779657 1812448 1920748 1961769 1996368 2049302 2224024 2271522 2372876 2426208 2548128 2588592 2615692 2718672 2881122 3028696 3073953 3304032 3336036 3559314 3841496 3923538 3992736 4098604 4448048 4543044 4745752 5177184 5231384 5282057 5437344 5762244 6057392 6147906 6672072 6848983 7118628 7193153 7682992 7847076 8197208 8896096 9086088 9491504 10462768 10564114 11271161 11524488 12114784 12295812 13344144 13697966 14237256 14386306 15365984 15694152 15846171 16394416 18172176 18983008 20546949 20925536 21128228 21579459 22542322 23048976 24591624 26688288 27395932 28474512 28772612 31388304 31692342 32788832 33813483 36344352 41093898 42256456 43158918 45084644 46097952 49183248 54791864 56949024 57545224 62776608 63384684 67626966 75338813 82187796 84512912 86317836 90169288 98366496 109583728 115090448 126769368 130130677 135253932 150677626 164375592 169025824 172635672 180338576 219167456 226016439 230180896 253538736 260261354 270507864 301355252 328751184 345271344 360677152 390392031 452032878 507077472 520522708 541015728 602710504 657502368 690542688 780784062 904065756 1041045416 1082031456 1205421008 1431437447 1561568124 1808131512 2082090832 2410842016 2862874894 3123136248 3616263024 4164181664 4294312341 5725749788 6246272496 7232526048 8588624682 11451499576 12492544992 17177249364 22902999152 34354498728 45805998304 68708997456 137417994912
• Sum of all divisors σ(n): 421134336000
• Sum of proper divisors (its aliquot sum) s(n): 283716341088
• 137417994912 is an abundant number, because the sum of its proper divisors (283716341088) is greater than itself. Its abundance is 146298346176

Bases of 137417994912

• Binary: 1111111111110110000000011001010100000₂
• Hexadecimal: 0x1FFEC032A0
• Base-36: 1R4N4JHC

Squares and roots of 137417994912

• 137417994912 squared (137417994912²) is 18883705325634457887744
• 137417994912 cubed (137417994912³) is 2594960922357743237189883259158528
• The square root of 137417994912 is 370699.3322249179
• The cube root of 137417994912 is 5160.3742856919

Scales and comparisons

• 137,417,994,912 seconds is equal to 4,369 years, 24 weeks, 2 days, 1 hour, 15 minutes, 12 seconds.
• To count from 1 to 137,417,994,912 would take you about eight thousand, seven hundred thirty-eight 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 137417994912 cubic inches would be around 430 feet tall.

Recreational maths with 137417994912

• 137417994912 backwards is 219499714731
• 137417994912 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137417994912's digits is 57
• More coming soon!