137422137312

Names of 137422137312

• Cardinal: 137422137312 can be written as One hundred thirty-seven billion, four hundred twenty-two million, one hundred thirty-seven thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37422137312 × 10¹¹

Factors of 137422137312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2055

Divisors of 137422137312

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 281 288 306 354 408 472 531 544 562 612 708 816 843 944 1003 1062 1124 1224 1416 1632 1686 1693 1888 2006 2124 2248 2448 2529 2832 3009 3372 3386 4012 4248 4496 4777 4896 5058 5079 5664 6018 6744 6772 8024 8496 8992 9027 9554 10116 10158 12036 13488 13544 14331 15237 16048 16579 16992 18054 19108 20232 20316 24072 26976 27088 28662 28781 30474 32096 33158 36108 38216 40464 40632 42993 48144 49737 54176 57324 57562 60948 66316 72216 76432 80928 81264 85986 86343 96288 99474 99887 114648 115124 121896 132632 144432 149211 152864 162528 171972 172686 198948 199774 229296 230248 243792 259029 265264 281843 288864 298422 299661 343944 345372 397896 399548 458592 460496 475733 487584 518058 530528 563686 596844 599322 687888 690744 795792 799096 845529 898983 920992 951466 1036116 1127372 1193688 1198644 1375776 1381488 1427199 1591584 1598192 1691058 1698079 1797966 1902932 2072232 2254744 2387376 2397288 2536587 2762976 2854398 3196384 3382116 3396158 3595932 3805864 4144464 4281597 4509488 4774752 4794576 5073174 5094237 5708796 6764232 6792316 7191864 7611728 8087461 8288928 8563194 9018976 9589152 10146348 10188474 11417592 13528464 13584632 14383728 15223456 15282711 16174922 17126388 20292696 20376948 22835184 24262383 27056928 27169264 28068247 28767456 30565422 32349844 34252776 40585392 40753896 45670368 48524766 54338528 56136494 61130844 64699688 68505552 72787149 81170784 81507792 84204741 97049532 112272988 122261688 129399376 137011104 145574298 163015584 168409482 194099064 224545976 244523376 252614223 258798752 291148596 336818964 388198128 449091952 477160199 489046752 505228446 582297192 673637928 776396256 898183904 954320398 1010456892 1164594384 1347275856 1431480597 1908640796 2020913784 2329188768 2694551712 2862961194 3817281592 4041827568 4294441791 5725922388 7634563184 8083655136 8588883582 11451844776 15269126368 17177767164 22903689552 34355534328 45807379104 68711068656 137422137312
• Sum of all divisors σ(n): 422542280160
• Sum of proper divisors (its aliquot sum) s(n): 285120142848
• 137422137312 is an abundant number, because the sum of its proper divisors (285120142848) is greater than itself. Its abundance is 147698005536

Bases of 137422137312

• Binary: 1111111111110111111110110011111100000₂
• Hexadecimal: 0x1FFEFF67E0
• Base-36: 1R4PLBS0

Squares and roots of 137422137312

• 137422137312 squared (137422137312²) is 18884843823398182585344
• 137422137312 cubed (137422137312³) is 2595195601014700125694390326755328
• The square root of 137422137312 is 370704.9194602089
• The cube root of 137422137312 is 5160.4261375127

Scales and comparisons

• 137,422,137,312 seconds is equal to 4,369 years, 31 weeks, 23 hours, 55 minutes, 12 seconds.
• To count from 1 to 137,422,137,312 would take you about eight thousand, seven hundred thirty-nine 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 137422137312 cubic inches would be around 430 feet tall.

Recreational maths with 137422137312

• 137422137312 backwards is 213731224731
• 137422137312 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137422137312's digits is 36
• More coming soon!