137413233984

Names of 137413233984

• Cardinal: 137413233984 can be written as One hundred thirty-seven billion, four hundred thirteen million, two hundred thirty-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37413233984 × 10¹¹

Factors of 137413233984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4175

Divisors of 137413233984

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 159 192 208 212 271 312 318 416 424 542 624 636 689 813 832 848 1084 1248 1272 1378 1626 1696 2067 2168 2496 2544 2756 3252 3392 3523 3833 4134 4336 5088 5512 6504 7046 7666 8268 8672 10176 10569 11024 11499 13008 14092 14363 15332 16536 17344 21138 22048 22998 26016 28184 28726 30664 33072 42276 43089 44096 45996 49829 52032 56368 57452 61328 66144 84552 86178 91992 99658 112736 114904 122656 132288 149487 169104 172356 183984 186719 199316 203149 225472 229808 245312 298974 338208 344712 367968 373438 398632 406298 459616 560157 597948 609447 676416 689424 735936 746876 797264 812596 919232 1038743 1120314 1195896 1218894 1378848 1493752 1594528 1625192 2077486 2240628 2391792 2437788 2640937 2757696 2987504 3116229 3189056 3250384 4154972 4481256 4783584 4875576 5281874 5975008 6232458 6500768 7922811 8309944 8962512 9567168 9751152 10563748 11950016 12464916 13001536 13503659 15845622 16619888 17925024 19502304 21127496 24929832 27007318 31691244 33239776 35850048 39004608 40510977 42254992 49859664 54014636 55053379 63382488 66479552 81021954 84509984 99719328 108029272 110106758 126764976 162043908 165160137 169019968 199438656 216058544 220213516 253529952 324087816 330320274 432117088 440427032 507059904 648175632 660640548 715693927 864234176 880854064 1296351264 1321281096 1431387854 1761708128 2147081781 2592702528 2642562192 2862775708 3523416256 4294163562 5285124384 5725551416 8588327124 10570248768 11451102832 17176654248 22902205664 34353308496 45804411328 68706616992 137413233984
• Sum of all divisors σ(n): 400503688704
• Sum of proper divisors (its aliquot sum) s(n): 263090454720
• 137413233984 is an abundant number, because the sum of its proper divisors (263090454720) is greater than itself. Its abundance is 125677220736

Bases of 137413233984

• Binary: 1111111111110011101111000110101000000₂
• Hexadecimal: 0x1FFE778D40
• Base-36: 1R4KAHXC

Squares and roots of 137413233984

• 137413233984 squared (137413233984²) is 18882396873941532512256
• 137413233984 cubed (137413233984³) is 2594691219817677959442177075707904
• The square root of 137413233984 is 370692.9106200981
• The cube root of 137413233984 is 5160.3146902603

Scales and comparisons

• 137,413,233,984 seconds is equal to 4,369 years, 16 weeks, 2 days, 22 hours, 46 minutes, 24 seconds.
• To count from 1 to 137,413,233,984 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 137413233984 cubic inches would be around 430 feet tall.

Recreational maths with 137413233984

• 137413233984 backwards is 489332314731
• 137413233984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137413233984's digits is 48
• More coming soon!