138942508363776000000
138,942,508,363,776,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138942508363776000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 17024 divisors.
138942508363776000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seventeen thousand and twenty-four divisors.
Prime factorization of 138942508363776000000:
218 × 33 × 56 × 133 × 233 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 23 × 23 × 23 × 47)See below for interesting mathematical facts about the number 138942508363776000000 from the Numbermatics database.
Names of 138942508363776000000
- Cardinal: 138942508363776000000 can be written as One hundred thirty-eight quintillion, nine hundred forty-two quadrillion, five hundred eight trillion, three hundred sixty-three billion, seven hundred seventy-six million.
Scientific notation
- Scientific notation: 1.38942508363776 × 1020
Factors of 138942508363776000000
Divisors of 138942508363776000000
- Number of divisors d(n): 17024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 32 36 39 40 45 46 47 48 50 52 54 60 64 65 69 72 75 78 80 90 92 94 96 100 104 108 115 117 120 125 128 130 135 138 141 144 150 156 160 169 180 184 188 192 195 200 207 208 216 225 230 234 235 240 250 256 260 270 276 282 288 299 300 312 320 325 338 345 351 360 368 375 376 384 390 400 414 416 423 432 450 460 468 470 480 500 507 512 520 529 540 552 564 575 576 585 598 600 611 621 624 625 640 650 675 676 690 702 705 720 736 750 752 768 780 800 828 832 845 846 864 897 900 920 936 940 960 975 1000 1014 1024 1035 1040 1058 1080 1081 1104 1125 1128 1150 1152 1170 1175 1196 1200 1222 1242 1248 1250 1269 1280 1300 1350 1352 1380 1404 1410 1440 1472 1495 1500 1504 1521 1536 1560 1587 1600 1625 1656 1664 1690 1692 1725 1728 1755 1794 1800 1833 1840 1872 1875 1880 1920 1950 2000 2028 2048 2070 2080 2115 2116 2160 2162 2197 2208 2250 2256 2300 2304 2340 2350 2392 2400 2444 2484 2496 2500 2535 2538 2560 2600 2645 2691 2700 2704 2760 2808 2820 2875 2880 2925 2944 2990 3000 3008 3042 3055 3072 3105 3120 3125 3174 3200 3243 3250 3312 3328 3375 3380 3384 3450 3456 3510 3525 3588 3600 3666 3680 3744 3750 3760 3840 3887 3900 4000 4056 4096 4140 4160 4225 4230 4232 4320 4324 4394 4416 4485 4500 4512 4563 4600 4608 4680 4700 4761 4784 4800 4875 4888 4968 4992 5000 5070 5076 5120 5175 5200 5290 5382 5400 5405 5408 5499 5520 5616 5625 5640 5750 5760 5850 5875 5888 5980 6000 6016 6084 6110 6144 6210 6240 6250 6345 6348 6400 6486 6500 6591 6624 6656 6750 6760 6768 6877 6900 6912 7020 7050 7176 7200 7332 7360 7475 7488 7500 7520 7605 7680 7774 7800 7935 7943 8000 8073 8112 8125 8192 8280 8320 8450 8460 8464 8625 8640 8648 8775 8788 8832 8970 9000 9024 9126 9165 9200 9216 9360 9375 9400 9522 9568 9600 9729 9750 9776 9936 9984 10000 10140 10152 10240 10350 10400 10575 10580 10764 10800 10810 10816 10985 10998 11040 11232 11250 11280 11500 11520 11661 11700 11750 11776 11960 12000 12032 12167 12168 12220 12288 12420 12480 12500 12675 12690 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2013659541504000000 2137577051750400000 2170976693184000000 2315708472729600000 2573009414144000000 2671971314688000000 2778850167275520000 2894635590912000000 2956223582208000000 3020489312256000000 3087611296972800000 3473562709094400000 3562628419584000000 3859514121216000000 4341953386368000000 4631416945459200000 5146018828288000000 5343942629376000000 5557700334551040000 5789271181824000000 6040978624512000000 6947125418188800000 7719028242432000000 8683906772736000000 9262833890918400000 10687885258752000000 11578542363648000000 13894250836377600000 15438056484864000000 17367813545472000000 23157084727296000000 27788501672755200000 34735627090944000000 46314169454592000000 69471254181888000000 138942508363776000000
- Sum of all divisors σ(n): 595194441033636864000
- Sum of proper divisors (its aliquot sum) s(n): 456251932669860864000
- 138942508363776000000 is an abundant number, because the sum of its proper divisors (456251932669860864000) is greater than itself. Its abundance is 317309424306084864000
Bases of 138942508363776000000
- Binary: 11110001000001101101111001100110101001110001001110000000000000000002
- Hexadecimal: 0x78836F335389C0000
- Base-36: TBMBKM8MEZ9C0
Squares and roots of 138942508363776000000
- 138942508363776000000 squared (1389425083637760000002) is 19305020630417963712748978176000000000000
- 138942508363776000000 cubed (1389425083637760000003) is 2682287990404716151353259769779677692952576000000000000000000
-
The
square root of 138942508363776000000 is 11787387681.9156160305 -
The
cube root of 138942508363776000000 is 5179387.1902150547
Scales and comparisons
How big is 138942508363776000000?- 138,942,508,363,776,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,942,508,363,776,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138942508363776000000 cubic inches would be around 431615.6 feet tall.
Recreational maths with 138942508363776000000
- 138942508363776000000 backwards is 000000677363805249831
- 138942508363776000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138942508363776000000's digits is 72
- More coming soon!
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"Number 138942508363776000000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138942508363776000000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138942508363776000000/
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The information we have on file for 138942508363776000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138942508363776000000, math, Factors of 138942508363776000000, curriculum, school, college, exams, university, Prime factorization of 138942508363776000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred forty-two quadrillion, five hundred eight trillion, three hundred sixty-three billion, seven hundred seventy-six million.