138021661624000
138,021,661,624,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138021661624000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138021661624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138021661624000:
26 × 53 × 7 × 11 × 17 × 13180067
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 17 × 13180067)See below for interesting mathematical facts about the number 138021661624000 from the Numbermatics database.
Names of 138021661624000
- Cardinal: 138021661624000 can be written as One hundred thirty-eight trillion, twenty-one billion, six hundred sixty-one million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38021661624 × 1014
Factors of 138021661624000
Divisors of 138021661624000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 50 55 56 64 68 70 77 80 85 88 100 110 112 119 125 136 140 154 160 170 175 176 187 200 220 224 238 250 272 275 280 308 320 340 350 352 374 385 400 425 440 448 476 500 544 550 560 595 616 680 700 704 748 770 800 850 875 880 935 952 1000 1088 1100 1120 1190 1232 1309 1360 1375 1400 1496 1540 1600 1700 1750 1760 1870 1904 1925 2000 2125 2200 2240 2380 2464 2618 2720 2750 2800 2975 2992 3080 3400 3500 3520 3740 3808 3850 4000 4250 4400 4675 4760 4928 5236 5440 5500 5600 5950 5984 6160 6545 6800 7000 7480 7616 7700 8000 8500 8800 9350 9520 9625 10472 11000 11200 11900 11968 12320 13090 13600 14000 14875 14960 15400 17000 17600 18700 19040 19250 20944 22000 23375 23800 24640 26180 27200 28000 29750 29920 30800 32725 34000 37400 38080 38500 41888 44000 46750 47600 52360 56000 59500 59840 61600 65450 68000 74800 77000 83776 88000 93500 95200 104720 119000 123200 130900 136000 149600 154000 163625 187000 190400 209440 238000 261800 299200 308000 327250 374000 418880 476000 523600 616000 654500 748000 952000 1047200 1309000 1496000 2094400 2618000 5236000 10472000 13180067 26360134 52720268 65900335 92260469 105440536 131800670 144980737 184520938 210881072 224061139 263601340 289961474 329501675 369041876 421762144 448122278 461302345 527202680 579922948 659003350 724903685 738083752 843524288 896244556 922604690 1014865159 1054405360 1120305695 1159845896 1318006700 1449807370 1476167504 1568427973 1647508375 1792489112 1845209380 2029730318 2108810720 2240611390 2306511725 2319691792 2464672529 2636013400 2899614740 2952335008 3136855946 3295016750 3584978224 3624518425 3690418760 4059460636 4217621440 4481222780 4613023450 4639383584 4929345058 5074325795 5272026800 5601528475 5799229480 5904670016 6273711892 6590033500 7169956448 7249036850 7380837520 7842139865 8118921272 8962445560 9226046900 9278767168 9858690116 10148651590 10544053600 11203056950 11532558625 11598458960 12323362645 12547423784 13180067000 14339912896 14498073700 14761675040 15684279730 16237842544 17252707703 17924891120 18122592125 18452093800 19717380232 20297303180 21088107200 22406113900 23065117250 23196917920 24646725290 25094847568 25371628975 26360134000 28007642375 28996147400 29523350080 31368559460 32475685088 34505415406 35849782240 36245184250 36904187600 39210699325 39434760464 40594606360 44812227800 46130234500 46393835840 49293450580 50189695136 50743257950 52720268000 56015284750 57992294800 61616813225 62737118920 64951370176 69010830812 71699564480 72490368500 73808375200 78421398650 78869520928 81189212720 86263538515 89624455600 92260469000 98586901160 100379390272 101486515900 105440536000 112030569500 115984589600 123233626450 125474237840 126858144875 138021661624 144980737000 147616750400 156842797300 157739041856 162378425440 172527077030 179248911200 184520938000 196053496625 197173802320 202973031800 224061139000 231969179200 246467252900 250948475680 253716289750 276043323248 289961474000 308084066125 313685594600 324756850880 345054154060 358497822400 369041876000 392106993250 394347604640 405946063600 431317692575 448122278000 492934505800 501896951360 507432579500 552086646496 579922948000 616168132250 627371189200 690108308120 738083752000 784213986500 788695209280 811892127200 862635385150 896244556000 985869011600 1014865159000 1104173292992 1159845896000 1232336264500 1254742378400 1380216616240 1568427973000 1623784254400 1725270770300 1792489112000 1971738023200 2029730318000 2156588462875 2464672529000 2509484756800 2760433232480 3136855946000 3450541540600 3943476046400 4059460636000 4313176925750 4929345058000 5520866464960 6273711892000 6901083081200 8118921272000 8626353851500 9858690116000 12547423784000 13802166162400 17252707703000 19717380232000 27604332324800 34505415406000 69010830812000 138021661624000
- Sum of all divisors σ(n): 451221420469248
- Sum of proper divisors (its aliquot sum) s(n): 313199758845248
- 138021661624000 is an abundant number, because the sum of its proper divisors (313199758845248) is greater than itself. Its abundance is 175178097221248
Bases of 138021661624000
- Binary: 111110110000111101011000001110011000110110000002
- Hexadecimal: 0x7D87AC1CC6C0
- Base-36: 1CXA9XPTJ4
Squares and roots of 138021661624000
- 138021661624000 squared (1380216616240002) is 19049979077449954317376000000
- 138021661624000 cubed (1380216616240003) is 2629309766172077283587128175578624000000000
-
The
square root of 138021661624000 is 11748262.0682380081 -
The
cube root of 138021661624000 is 51679.1962390611
Scales and comparisons
How big is 138021661624000?- 138,021,661,624,000 seconds is equal to 4,388,661 years, 47 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,021,661,624,000 would take you about ten million, nine hundred seventy-one thousand, six hundred fifty-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 138021661624000 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138021661624000
- 138021661624000 backwards is 000426166120831
- 138021661624000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138021661624000's digits is 40
- More coming soon!
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