137438053800

Names of 137438053800

• Cardinal: 137438053800 can be written as One hundred thirty-seven billion, four hundred thirty-eight million, fifty-three thousand, eight hundred.

Scientific notation

• Scientific notation: 1.374380538 × 10¹¹

Factors of 137438053800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 233

Divisors of 137438053800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 79 85 100 102 120 127 136 150 158 170 200 204 237 254 255 289 300 316 340 381 395 408 425 474 508 510 578 600 632 635 680 762 790 850 867 948 1016 1020 1156 1185 1270 1275 1343 1445 1524 1580 1700 1734 1896 1905 1975 2040 2159 2312 2370 2540 2550 2686 2890 3048 3160 3175 3400 3468 3810 3950 4029 4318 4335 4740 5080 5100 5372 5780 5925 6241 6350 6477 6715 6936 7225 7620 7900 8058 8636 8670 9480 9525 10033 10200 10744 10795 11560 11850 12482 12700 12954 13430 14450 15240 15800 16116 17272 17340 18723 19050 20066 20145 21590 21675 22831 23700 24964 25400 25908 26860 28900 30099 31205 32232 32385 33575 34680 36703 37446 38100 40132 40290 43180 43350 45662 47400 49928 50165 51816 53720 53975 57800 60198 62410 64770 67150 68493 73406 74892 76200 80264 80580 86360 86700 91324 93615 100330 100725 106097 107950 110109 114155 120396 124820 129540 134300 136986 146812 149784 150495 156025 161160 161925 170561 173400 182648 183515 187230 200660 201450 212194 215900 220218 228310 240792 249640 250825 259080 268600 273972 293624 300990 312050 318291 323850 341122 342465 367030 374460 401320 402900 424388 431800 440436 456620 468075 501650 511683 530485 547944 550545 570775 601980 624100 636582 647700 682244 684930 734060 748920 752475 792607 805800 848776 852805 880872 913240 917575 936150 1003300 1023366 1060970 1101090 1141550 1203960 1248200 1273164 1295400 1364488 1369860 1468120 1504950 1585214 1591455 1705610 1712325 1803649 1835150 1872300 2006600 2046732 2121940 2202180 2283100 2377821 2546328 2558415 2652425 2739720 2752725 2899537 3009900 3170428 3182910 3411220 3424650 3607298 3670300 3744600 3963035 4093464 4243880 4264025 4404360 4566200 4755642 5116830 5304850 5410947 5505450 5799074 6019800 6340856 6365820 6822440 6849300 7214596 7340600 7926070 7957275 8528050 8698611 9018245 9511284 10233660 10609700 10821894 11010900 11598148 11889105 12731640 12792075 13474319 13698600 14429192 14497685 15852140 15914550 17056100 17397222 18036490 19022568 19815175 20467320 21219400 21643788 22021800 23196296 23778210 25584150 26948638 27054735 28995370 31704280 31829100 34112200 34794444 36072980 39630350 40422957 43287576 43493055 45091225 47556420 51168300 53897276 54109470 57990740 59445525 63658200 67371595 69588888 72145960 72488425 79260700 80845914 86986110 90182450 95112840 102336600 107794552 108218940 115981480 118891050 134743190 135273675 144976850 158521400 161691828 173972220 180364900 202114785 216437880 217465275 229063423 237782100 269486380 270547350 289953700 323383656 336857975 347944440 360729800 404229570 434930550 458126846 475564200 538972760 541094700 579907400 673715950 687190269 808459140 869861100 916253692 1010573925 1082189400 1145317115 1347431900 1374380538 1616918280 1739722200 1832507384 2021147850 2290634230 2694863800 2748761076 3435951345 4042295700 4581268460 5497522152 5726585575 6871902690 8084591400 9162536920 11453171150 13743805380 17179756725 22906342300 27487610760 34359513450 45812684600 68719026900 137438053800
• Sum of all divisors σ(n): 462005429760
• Sum of proper divisors (its aliquot sum) s(n): 324567375960
• 137438053800 is an abundant number, because the sum of its proper divisors (324567375960) is greater than itself. Its abundance is 187129322160

Bases of 137438053800

• Binary: 1111111111111111100100100010110101000₂
• Hexadecimal: 0x1FFFF245A8
• Base-36: 1R4Z2H0O

Squares and roots of 137438053800

• 137438053800 squared (137438053800²) is 18889218632331694440000
• 137438053800 cubed (137438053800³) is 2596097446630365839889880872000000
• The square root of 137438053800 is 370726.3867058831
• The cube root of 137438053800 is 5160.6253598781

Scales and comparisons

• 137,438,053,800 seconds is equal to 4,370 years, 5 weeks, 3 days, 5 hours, 10 minutes.
• To count from 1 to 137,438,053,800 would take you about eight thousand, seven hundred forty 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 137438053800 cubic inches would be around 430.1 feet tall.

Recreational maths with 137438053800

• 137438053800 backwards is 008350834731
• The number of decimal digits it has is: 12
• The sum of 137438053800's digits is 42
• More coming soon!