137768518719168

Names of 137768518719168

• Cardinal: 137768518719168 can be written as One hundred thirty-seven trillion, seven hundred sixty-eight billion, five hundred eighteen million, seven hundred nineteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37768518719168 × 10¹⁴

Factors of 137768518719168

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 22509

Divisors of 137768518719168

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 353 359 526 706 718 789 1052 1059 1077 1412 1436 1578 2104 2118 2154 2824 2872 3156 4208 4236 4308 5648 5744 6312 8416 8472 8616 11296 11488 12624 16832 16944 17232 21529 22592 22976 25248 33888 34464 43058 50496 64587 67776 68928 86116 92839 94417 126727 129174 172232 185678 188834 253454 258348 278517 283251 344464 371356 377668 380181 506908 516696 557034 566502 688928 742712 755336 760362 1013816 1033392 1114068 1133004 1377856 1485424 1510672 1520724 2027632 2066784 2228136 2266008 2970848 3021344 3041448 4055264 4133568 4456272 4532016 5662127 5941696 6042688 6082896 7599737 7728911 8110528 8912544 9064032 11324254 12165792 15199474 15457822 16986381 17825088 18128064 22648508 22799211 23186733 24331584 30398948 30915644 33329201 33972762 45297016 45598422 46373466 60797896 61831288 66658402 67945524 90594032 91196844 92746932 99987603 121595792 123662576 133316804 135891048 181188064 182393688 185493864 199975206 243191584 247325152 266633608 271782096 362376128 364787376 370987728 399950412 486383168 494650304 533267216 543564192 729574752 741975456 799900824 1066534432 1087128384 1459149504 1483950912 1599801648 1998730831 2032703593 2133068864 2728305583 3199603296 3997461662 4065407186 5456611166 5996192493 6098110779 6399206592 7994923324 8130814372 8184916749 10913222332 11992384986 12196221558 15989846648 16261628744 16369833498 21826444664 23984769972 24392443116 31979693296 32523257488 32739666996 43652889328 47969539944 48784886232 63959386592 65046514976 65479333992 87305778656 95939079888 97569772464 127918773184 130093029952 130958667984 174611557312 191878159776 195139544928 261917335968 383756319552 390279089856 523834671936 717544368329 1435088736658 2152633104987 2870177473316 4305266209974 5740354946632 8610532419948 11480709893264 17221064839896 22961419786528 34442129679792 45922839573056 68884259359584 137768518719168
• Sum of all divisors σ(n): 367974252518400
• Sum of proper divisors (its aliquot sum) s(n): 230205733799232
• 137768518719168 is an abundant number, because the sum of its proper divisors (230205733799232) is greater than itself. Its abundance is 92437215080064

Bases of 137768518719168

• Binary: 11111010100110010111011100111101001011011000000₂
• Hexadecimal: 0x7D4CBB9E96C0
• Base-36: 1CU1ZEYU2O

Squares and roots of 137768518719168

• 137768518719168 squared (137768518719168²) is 18980164750073743623250612224
• 137768518719168 cubed (137768518719168³) is 2614869182663427172668221242739060323909632
• The square root of 137768518719168 is 11737483.4917527359
• The cube root of 137768518719168 is 51647.5822933173

Scales and comparisons

• 137,768,518,719,168 seconds is equal to 4,380,612 years, 38 weeks, 6 days, 17 hours, 32 minutes, 48 seconds.
• To count from 1 to 137,768,518,719,168 would take you about ten million, nine hundred fifty-one thousand, five hundred thirty-one 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 137768518719168 cubic inches would be around 4304 feet tall.

Recreational maths with 137768518719168

• 137768518719168 backwards is 861917815867731
• The number of decimal digits it has is: 15
• The sum of 137768518719168's digits is 78
• More coming soon!