137974569216

Names of 137974569216

• Cardinal: 137974569216 can be written as One hundred thirty-seven billion, nine hundred seventy-four million, five hundred sixty-nine thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37974569216 × 10¹¹

Factors of 137974569216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 132

Divisors of 137974569216

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 73 86 88 96 121 128 129 132 146 172 176 192 219 242 256 258 264 292 344 352 363 384 438 473 484 516 528 584 688 704 726 768 803 876 946 968 1032 1056 1168 1331 1376 1408 1419 1452 1606 1752 1849 1892 1936 2064 2112 2336 2409 2662 2752 2816 2838 2904 3139 3212 3504 3698 3784 3872 3993 4128 4224 4672 4818 5203 5324 5504 5547 5676 5808 6278 6424 7008 7396 7568 7744 7986 8256 8448 8833 9344 9417 9636 10406 10648 11008 11094 11352 11616 12556 12848 14016 14792 15136 15488 15609 15972 16512 17666 18688 18834 19272 20339 20812 21296 22188 22704 23232 25112 25696 26499 28032 29584 30272 30976 31218 31944 33024 34529 35332 37668 38544 40678 41624 42592 44376 45408 46464 50224 51392 52998 56064 57233 59168 60544 61017 62436 63888 69058 70664 75336 77088 81356 83248 85184 88752 90816 92928 97163 100448 102784 103587 105996 114466 118336 121088 122034 124872 127776 134977 138116 141328 150672 154176 162712 166496 170368 171699 177504 181632 194326 200896 205568 207174 211992 223729 228932 236672 244068 249744 255552 269954 276232 282656 291489 301344 308352 325424 332992 340736 343398 355008 363264 379819 388652 401792 404931 414348 423984 447458 457864 473344 488136 499488 511104 539908 552464 565312 582978 602688 616704 650848 665984 671187 686796 710016 759638 777304 803584 809862 828696 847968 894916 915728 976272 998976 1022208 1079816 1104928 1130624 1139457 1165956 1205376 1301696 1331968 1342374 1373592 1420032 1484747 1519276 1554608 1619724 1657392 1695936 1789832 1831456 1952544 1997952 2159632 2209856 2261248 2278914 2331912 2410752 2461019 2603392 2684748 2747184 2969494 3038552 3109216 3239448 3314784 3391872 3579664 3662912 3905088 3995904 4178009 4319264 4419712 4454241 4557828 4663824 4922038 5206784 5369496 5494368 5938988 6077104 6218432 6478896 6629568 6783744 7159328 7325824 7383057 7810176 8356018 8638528 8839424 8908482 9115656 9327648 9844076 10738992 10988736 11877976 12154208 12436864 12534027 12957792 13259136 14318656 14651648 14766114 15620352 16332217 16712036 17277056 17816964 18231312 18655296 19688152 21477984 21977472 23755952 24308416 24873728 25068054 25915584 26518272 28637312 29532228 32664434 33424072 34554112 35633928 36462624 37310592 39376304 42955968 43954944 47511904 48616832 48996651 50136108 51831168 57274624 59064456 65328868 66848144 71267856 72925248 74621184 78752608 85911936 95023808 97233664 97993302 100272216 103662336 118128912 130657736 133696288 142535712 145850496 157505216 171823872 179654387 190047616 195986604 200544432 236257824 261315472 267392576 285071424 291700992 315010432 359308774 380095232 391973208 401088864 472515648 522630944 534785152 538963161 570142848 630020864 718617548 783946416 802177728 945031296 1045261888 1069570304 1077926322 1140285696 1437235096 1567892832 1604355456 1890062592 2090523776 2155852644 2874470192 3135785664 3208710912 4181047552 4311705288 5748940384 6271571328 8623410576 11497880768 12543142656 17246821152 22995761536 34493642304 45991523072 68987284608 137974569216
• Sum of all divisors σ(n): 419183618112
• Sum of proper divisors (its aliquot sum) s(n): 281209048896
• 137974569216 is an abundant number, because the sum of its proper divisors (281209048896) is greater than itself. Its abundance is 143234479680

Bases of 137974569216

• Binary: 10000000011111111011001101100100000000₂
• Hexadecimal: 0x201FECD900
• Base-36: 1RDUHUYO

Squares and roots of 137974569216

• 137974569216 squared (137974569216²) is 19036981750340774854656
• 137974569216 cubed (137974569216³) is 2626619356176122071770806611869696
• The square root of 137974569216 is 371449.2821584125
• The cube root of 137974569216 is 5167.3317995971

Scales and comparisons

• 137,974,569,216 seconds is equal to 4,387 years, 8 weeks, 3 days, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 137,974,569,216 would take you about eight thousand, seven hundred seventy-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 137974569216 cubic inches would be around 430.6 feet tall.

Recreational maths with 137974569216

• 137974569216 backwards is 612965479731
• The number of decimal digits it has is: 12
• The sum of 137974569216's digits is 60
• More coming soon!