137504342976

Names of 137504342976

• Cardinal: 137504342976 can be written as One hundred thirty-seven billion, five hundred four million, three hundred forty-two thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.37504342976 × 10¹¹

Factors of 137504342976

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 715489

Divisors of 137504342976

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 132 143 154 156 168 176 182 192 208 224 231 264 273 286 308 312 336 352 364 416 429 448 462 528 546 572 616 624 672 704 728 832 858 924 1001 1056 1092 1144 1232 1248 1344 1456 1716 1848 2002 2112 2184 2288 2464 2496 2912 3003 3432 3696 4004 4368 4576 4928 5824 6006 6864 7392 8008 8736 9152 12012 13728 14784 16016 17472 24024 27456 32032 48048 64064 96096 192192 715453 1430906 2146359 2861812 4292718 5008171 5723624 7869983 8585436 9300889 10016342 11447248 15024513 15739966 17170872 18601778 20032684 22894496 23609949 27902667 30049026 31479932 34341744 37203556 40065368 45788992 47219898 55089881 55805334 60098052 62959864 65106223 68683488 74407112 80130736 94439796 102309779 110179762 111610668 120196104 125919728 130212446 137366976 148814224 160261472 165269643 188879592 195318669 204619558 220359524 223221336 240392208 251839456 260424892 297628448 306929337 320522944 330539286 377759184 390637338 409239116 440719048 446442672 480784416 503678912 520849784 595256896 613858674 661078572 716168453 755518368 781274676 818478232 881438096 892885344 961568832 1041699568 1227717348 1322157144 1432336906 1511036736 1562549352 1636956464 1762876192 1785770688 2083399136 2148505359 2455434696 2644314288 2864673812 3125098704 3273912928 3525752384 4166798272 4297010718 4910869392 5288628576 5729347624 6250197408 6547825856 8594021436 9821738784 10577257152 11458695248 12500394816 17188042872 19643477568 22917390496 34376085744 45834780992 68752171488 137504342976
• Sum of all divisors σ(n): 488477649408
• Sum of proper divisors (its aliquot sum) s(n): 350973306432
• 137504342976 is an abundant number, because the sum of its proper divisors (350973306432) is greater than itself. Its abundance is 213468963456

Bases of 137504342976

• Binary: 10000000000011111001011100001111000000₂
• Hexadecimal: 0x2003E5C3C0
• Base-36: 1R62JA2O

Squares and roots of 137504342976

• 137504342976 squared (137504342976²) is 18907444337261440536576
• 137504342976 cubed (137504342976³) is 2599855710950426136121175776690176
• The square root of 137504342976 is 370815.7803761861
• The cube root of 137504342976 is 5161.4549181371

Scales and comparisons

• 137,504,342,976 seconds is equal to 4,372 years, 11 weeks, 10 hours, 49 minutes, 36 seconds.
• To count from 1 to 137,504,342,976 would take you about eight thousand, seven hundred forty-four 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 137504342976 cubic inches would be around 430.1 feet tall.

Recreational maths with 137504342976

• 137504342976 backwards is 679243405731
• The number of decimal digits it has is: 12
• The sum of 137504342976's digits is 51
• More coming soon!