137808217344

Names of 137808217344

• Cardinal: 137808217344 can be written as One hundred thirty-seven billion, eight hundred eight million, two hundred seventeen thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.37808217344 × 10¹¹

Factors of 137808217344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 156

Divisors of 137808217344

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 83 84 96 112 122 128 166 168 183 192 224 244 249 256 332 336 366 384 427 448 488 498 581 664 672 732 768 854 896 976 996 1162 1281 1328 1344 1464 1708 1743 1792 1952 1992 2324 2562 2656 2688 2928 3416 3486 3721 3904 3984 4648 5063 5124 5312 5376 5856 6832 6889 6972 7442 7808 7968 9296 10126 10248 10624 11163 11712 13664 13778 13944 14884 15189 15616 15936 18592 20252 20496 20667 21248 22326 23424 26047 27328 27556 27888 29768 30378 31872 35441 37184 40504 40992 41334 44652 46848 48223 52094 54656 55112 55776 59536 60756 63744 70882 74368 78141 81008 81984 82668 89304 96446 104188 106323 109312 110224 111552 119072 121512 141764 144669 148736 156282 162016 163968 165336 178608 192892 208376 212646 220448 223104 238144 243024 283528 289338 308843 312564 324032 327936 330672 357216 385784 416752 420229 425292 440896 446208 476288 486048 567056 578676 617686 625128 648064 661344 714432 771568 833504 840458 850584 881792 926529 952576 972096 1134112 1157352 1235372 1250256 1260687 1296128 1322688 1428864 1543136 1667008 1680916 1701168 1763584 1853058 1944192 2161901 2268224 2314704 2470744 2500512 2521374 2645376 2857728 2941603 3086272 3334016 3361832 3402336 3706116 3888384 4323802 4536448 4629408 4941488 5001024 5042748 5290752 5883206 6172544 6485703 6668032 6723664 6804672 7412232 8647604 8824809 9072896 9258816 9882976 10002048 10085496 11766412 12345088 12971406 13447328 13609344 14824464 17295208 17649618 18517632 19765952 20004096 20170992 23532824 25633969 25942812 26894656 27218688 29648928 34590416 35299236 37035264 39531904 40341984 47065648 51267938 51885624 53789312 59297856 69180832 70598472 76901907 79063808 80683968 94131296 102535876 103771248 107578624 118595712 138361664 141196944 153803814 161367936 179437783 188262592 205071752 207542496 237191424 276723328 282393888 307607628 322735872 358875566 376525184 410143504 415084992 538313349 553446656 564787776 615215256 717751132 753050368 820287008 830169984 1076626698 1129575552 1230430512 1435502264 1640574016 1660339968 2153253396 2259151104 2460861024 2871004528 3281148032 4306506792 4921722048 5742009056 6562296064 8613013584 9843444096 11484018112 17226027168 19686888192 22968036224 34452054336 45936072448 68904108672 137808217344
• Sum of all divisors σ(n): 431347102368
• Sum of proper divisors (its aliquot sum) s(n): 293538885024
• 137808217344 is an abundant number, because the sum of its proper divisors (293538885024) is greater than itself. Its abundance is 155730667680

Bases of 137808217344

• Binary: 10000000010110000000101000010100000000₂
• Hexadecimal: 0x2016028500
• Base-36: 1RB3GD1C

Squares and roots of 137808217344

• 137808217344 squared (137808217344²) is 18991104767531142414336
• 137808217344 cubed (137808217344³) is 2617130293406606268123432389443584
• The square root of 137808217344 is 371225.2918969827
• The cube root of 137808217344 is 5165.2542645425

Scales and comparisons

• 137,808,217,344 seconds is equal to 4,381 years, 45 weeks, 3 days, 12 hours, 22 minutes, 24 seconds.
• To count from 1 to 137,808,217,344 would take you about eight thousand, seven hundred sixty-three 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 137808217344 cubic inches would be around 430.4 feet tall.

Recreational maths with 137808217344

• 137808217344 backwards is 443712808731
• 137808217344 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137808217344's digits is 48
• More coming soon!