138325715572800
138,325,715,572,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138325715572800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138325715572800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138325715572800:
26 × 3 × 52 × 73 × 17 × 41 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 17 × 41 × 149 × 809)See below for interesting mathematical facts about the number 138325715572800 from the Numbermatics database.
Names of 138325715572800
- Cardinal: 138325715572800 can be written as One hundred thirty-eight trillion, three hundred twenty-five billion, seven hundred fifteen million, five hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383257155728 × 1014
Factors of 138325715572800
Divisors of 138325715572800
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 41 42 48 49 50 51 56 60 64 68 70 75 80 82 84 85 96 98 100 102 105 112 119 120 123 136 140 147 149 150 160 164 168 170 175 192 196 200 204 205 210 224 238 240 245 246 255 272 280 287 294 298 300 320 328 336 340 343 350 357 392 400 408 410 420 425 447 448 476 480 490 492 510 525 544 560 574 588 595 596 600 615 656 672 680 686 697 700 714 735 745 784 800 809 816 820 833 840 850 861 894 952 960 980 984 1020 1025 1029 1043 1050 1088 1120 1148 1176 1190 1192 1200 1225 1230 1275 1312 1344 1360 1372 1394 1400 1428 1435 1470 1490 1568 1600 1618 1632 1640 1666 1680 1700 1715 1722 1785 1788 1904 1960 1968 2009 2040 2050 2058 2086 2091 2100 2235 2240 2296 2352 2380 2384 2400 2427 2450 2460 2499 2533 2550 2624 2720 2744 2788 2800 2856 2870 2940 2975 2980 3075 3129 3136 3236 3264 3280 3332 3360 3400 3430 3444 3485 3570 3576 3675 3725 3808 3920 3936 4018 4045 4080 4100 4116 4165 4172 4182 4200 4305 4470 4592 4704 4760 4768 4800 4854 4879 4900 4920 4998 5066 5100 5145 5215 5440 5488 5576 5600 5663 5712 5740 5831 5880 5950 5960 6027 6109 6150 6258 6472 6560 6664 6720 6800 6860 6888 6970 7140 7152 7175 7301 7350 7450 7599 7616 7840 7872 8036 8090 8160 8200 8232 8330 8344 8364 8400 8575 8610 8925 8940 9184 9408 9520 9536 9708 9758 9800 9840 9996 10045 10132 10200 10290 10430 10455 10976 11152 11175 11200 11326 11424 11480 11662 11760 11900 11920 12054 12135 12218 12300 12495 12516 12665 12944 13120 13328 13600 13720 13753 13776 13940 14063 14280 14304 14350 14602 14637 14700 14900 15198 15645 15680 16072 16180 16320 16400 16464 16660 16688 16728 16800 16989 17150 17220 17425 17493 17731 17850 17880 18327 18368 19040 19416 19516 19600 19680 19992 20090 20225 20264 20400 20580 20825 20860 20910 21525 21903 21952 22304 22350 22652 22848 22960 23324 23520 23800 23840 24108 24270 24395 24436 24600 24990 25032 25330 25725 25888 26075 26656 27200 27440 27506 27552 27880 28126 28315 28560 28608 28700 29155 29204 29274 29400 29800 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461085718576 464180253600 470495631200 481971134400 494020412760 508550424900 542453786560 562299656800 564594757440 576357148220 581200485600 617525515950 658693883680 674759588160 678067233200 691628577864 705743446800 720446435275 790432660416 813680679840 823367354600 843449485200 864535722330 922171437152 928360507200 940991262400 988040825520 1017100849800 1124599313600 1152714296440 1162400971200 1235051031900 1317387767360 1356134466400 1383257155728 1411486893600 1440892870550 1627361359680 1646734709200 1686898970400 1729071444660 1844342874304 1976081651040 2034201699600 2161339305825 2305428592880 2470102063800 2712268932800 2766514311456 2822973787200 2881785741100 3293469418400 3373797940800 3458142889320 3952163302080 4068403399200 4322678611650 4610857185760 4940204127600 5533028622912 5763571482200 6586938836800 6916285778640 8136806798400 8645357223300 9221714371520 9880408255200 11527142964400 13832571557280 17290714446600 19760816510400 23054285928800 27665143114560 34581428893200 46108571857600 69162857786400 138325715572800
- Sum of all divisors σ(n): 578606716800000
- Sum of proper divisors (its aliquot sum) s(n): 440281001227200
- 138325715572800 is an abundant number, because the sum of its proper divisors (440281001227200) is greater than itself. Its abundance is 301955285654400
Bases of 138325715572800
- Binary: 111110111001110011101110010001111011000010000002
- Hexadecimal: 0x7DCE7723D840
- Base-36: 1D15YFL5XC
Squares and roots of 138325715572800
- 138325715572800 squared (1383257155728002) is 19134003588727164432099840000
- 138325715572800 cubed (1383257155728003) is 2646724738183208215615699106092388352000000
-
The
square root of 138325715572800 is 11761195.3292511897 -
The
cube root of 138325715572800 is 51717.1171932189
Scales and comparisons
How big is 138325715572800?- 138,325,715,572,800 seconds is equal to 4,398,329 years, 46 weeks, 9 hours, 20 minutes.
-
To count from 1 to 138,325,715,572,800 would take you about ten million, nine hundred ninety-five thousand, eight 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 138325715572800 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138325715572800
- 138325715572800 backwards is 008275517523831
- The number of decimal digits it has is: 15
- The sum of 138325715572800's digits is 57
- More coming soon!
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"Number 138325715572800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138325715572800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138325715572800/
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The information we have on file for 138325715572800 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!
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