137607406517312

Names of 137607406517312

• Cardinal: 137607406517312 can be written as One hundred thirty-seven trillion, six hundred seven billion, four hundred six million, five hundred seventeen thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37607406517312 × 10¹⁴

Factors of 137607406517312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1265

Divisors of 137607406517312

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 4 8 16 23 32 46 53 64 92 106 184 212 368 424 529 736 848 1058 1187 1219 1472 1696 2116 2374 2438 2809 3392 4232 4748 4876 5618 8464 9496 9752 11236 12167 16928 18992 19504 22472 24334 27301 28037 33856 37984 39008 44944 48668 54602 56074 62911 64607 75968 78016 89888 97336 109204 112148 125822 129214 148877 179776 194672 218408 224296 251644 258428 297754 389344 436816 448592 503288 516856 595508 627923 644851 778688 873632 897184 1006576 1033712 1191016 1255846 1289702 1446953 1485961 1747264 1794368 2013152 2067424 2382032 2511692 2579404 2893906 2971922 3334283 3424171 4026304 4134848 4764064 5023384 5158808 5787812 5943844 6668566 6848342 9528128 10046768 10317616 11575624 11887688 13337132 13696684 14442229 20093536 20635232 23151248 23775376 26674264 27393368 28884458 33279919 34177103 40187072 41270464 46302496 47550752 53348528 54786736 57768916 66559838 68354206 76688509 78755933 92604992 95101504 106697056 109573472 115537832 133119676 136708412 153377018 157511866 176716999 213394112 219146944 231075664 266239352 273416824 306754036 315023732 353433998 462151328 532478704 546833648 613508072 630047464 706867996 765438137 924302656 1064957408 1093667296 1227016144 1260094928 1413735992 1530876274 1763835707 1811386459 2129914816 2187334592 2454032288 2520189856 2827471984 3061752548 3527671414 3622772918 4064490977 4908064576 5040379712 5654943968 6123505096 7055342828 7245545836 8128981954 11309887936 12247010192 14110685656 14491091672 16257963908 24494020384 28221371312 28982183344 32515927816 40568221261 48988040768 56442742624 57964366688 65031855632 81136442522 93483292471 112885485248 115928733376 130063711264 162272885044 186966584942 260127422528 324545770088 373933169884 649091540176 747866339768 1298183080352 1495732679536 2150115726833 2596366160704 2991465359072 4300231453666 5982930718144 8600462907332 17200925814664 34401851629328 68803703258656 137607406517312
• Sum of all divisors σ(n): 291210716332800
• Sum of proper divisors (its aliquot sum) s(n): 153603309815488
• 137607406517312 is an abundant number, because the sum of its proper divisors (153603309815488) is greater than itself. Its abundance is 15995903298176

Bases of 137607406517312

• Binary: 11111010010011100111000100101010111110001000000₂
• Hexadecimal: 0x7D2738957C40
• Base-36: 1CRZYWX7I8

Squares and roots of 137607406517312

• 137607406517312 squared (137607406517312²) is 18935798328420761092955705344
• 137607406517312 cubed (137607406517312³) is 2605706098308832715419360247807279506915328
• The square root of 137607406517312 is 11730618.3348241283
• The cube root of 137607406517312 is 51627.4415007463

Scales and comparisons

• 137,607,406,517,312 seconds is equal to 4,375,489 years, 45 weeks, 5 days, 4 hours, 8 minutes, 32 seconds.
• To count from 1 to 137,607,406,517,312 would take you about ten million, nine hundred thirty-eight thousand, seven hundred twenty-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 137607406517312 cubic inches would be around 4302.3 feet tall.

Recreational maths with 137607406517312

• 137607406517312 backwards is 213715604706731
• 137607406517312 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137607406517312's digits is 53
• More coming soon!