138090291539200
138,090,291,539,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138090291539200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
138090291539200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138090291539200:
28 × 52 × 7 × 11 × 132 × 37 × 41 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 37 × 41 × 1093)See below for interesting mathematical facts about the number 138090291539200 from the Numbermatics database.
Names of 138090291539200
- Cardinal: 138090291539200 can be written as One hundred thirty-eight trillion, ninety billion, two hundred ninety-one million, five hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.380902915392 × 1014
Factors of 138090291539200
Divisors of 138090291539200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 41 44 50 52 55 56 64 65 70 74 77 80 82 88 91 100 104 110 112 128 130 140 143 148 154 160 164 169 175 176 182 185 200 205 208 220 224 256 259 260 275 280 286 287 296 308 320 325 328 338 350 352 364 370 385 400 407 410 416 440 448 451 455 481 518 520 533 550 560 572 574 592 616 640 650 656 676 700 704 715 728 740 770 800 814 820 832 845 880 896 902 910 925 962 1001 1025 1036 1040 1066 1093 1100 1120 1144 1148 1183 1184 1232 1280 1295 1300 1312 1352 1400 1408 1430 1435 1456 1480 1517 1540 1600 1628 1640 1664 1690 1760 1792 1804 1820 1850 1859 1924 1925 2002 2035 2050 2072 2080 2132 2186 2200 2240 2255 2275 2288 2296 2366 2368 2405 2464 2590 2600 2624 2665 2704 2800 2816 2849 2860 2870 2912 2960 3034 3080 3157 3200 3256 3280 3328 3367 3380 3520 3575 3608 3640 3700 3718 3731 3848 3850 4004 4070 4100 4144 4160 4225 4264 4372 4400 4480 4510 4550 4576 4592 4732 4736 4810 4928 5005 5180 5200 5248 5291 5330 5408 5465 5600 5698 5720 5740 5824 5863 5915 5920 6068 6160 6253 6314 6400 6475 6512 6560 6734 6760 6929 7040 7150 7175 7216 7280 7400 7436 7462 7585 7651 7696 7700 8008 8140 8200 8288 8320 8450 8528 8744 8800 8960 9020 9100 9152 9184 9295 9464 9472 9620 9856 10010 10175 10360 10400 10496 10582 10619 10660 10816 10930 11200 11275 11396 11440 11480 11648 11726 11830 11840 12023 12025 12136 12320 12506 12628 12950 13013 13024 13120 13325 13468 13520 13858 14080 14209 14245 14300 14350 14432 14560 14800 14872 14924 15170 15302 15392 15400 15785 16016 16280 16400 16576 16640 16687 16835 16900 17056 17488 17600 18040 18200 18304 18368 18590 18655 18928 19240 19712 19721 20020 20350 20720 20800 21164 21238 21320 21632 21860 22400 22550 22792 22880 22960 23296 23452 23660 23680 24046 24050 24272 24640 25012 25025 25256 25900 26026 26048 26240 26455 26650 26936 27040 27325 27716 28418 28490 28600 28700 28864 29120 29315 29575 29600 29744 29848 30340 30604 30784 30800 31265 31570 32032 32560 32800 33152 33374 33670 33800 34112 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53316714880 56043137800 57418000640 58315156900 58364451200 60143855200 60354148400 60699029248 61237379840 61647451580 62768314336 63170307200 64770305600 66389563240 66645893600 67361117824 67857637120 68976169600 71735216384 71772500800 74282028800 74643400832 75873786560 76546724800 77059314475 78460392920 81710231680 82986954050 84201397280 84822046400 86306432212 89669020480 91028537600 93304251040 94842233200 96230168320 96566637440 98075491150 98635922528 102137789600 105251746600 106223301184 106633429760 107883040265 112086275600 116630313800 116728902400 120287710400 120708296800 123294903160 125536628672 126340614400 129540611200 132779126480 133291787200 134722235648 137952339200 143545001600 149286801664 151747573120 153093449600 154118628950 156920785840 163420463360 165973908100 168402794560 169644092800 172612864424 179338040960 186608502080 189684466400 193133274880 196150982300 197271845056 204275579200 210503493200 212446602368 215766080530 224172551200 233260627600 240575420800 241416593600 246589806320 251073257344 259081222400 265558252960 266583574400 287090003200 303495146240 306186899200 308237257900 313841571680 331947816200 336805589120 339288185600 345225728848 358676081920 373217004160 379368932800 392301964600 394543690112 408551158400 421006986400 424893204736 431532161060 448345102400 466521255200 481150841600 482833187200 493179612640 502146514688 531116505920 533167148800 539415201325 616474515800 627683143360 663895632400 673611178240 690451457696 746434008320 758737865600 784603929200 789087380224 817102316800 842013972800 863064322120 896690204800 933042510400 965666374400 986359225280 1062233011840 1078830402650 1232949031600 1255366286720 1327791264800 1380902915392 1517475731200 1569207858400 1684027945600 1726128644240 1793380409600 1866085020800 1972718450560 2124466023680 2157660805300 2465898063200 2510732573440 2655582529600 2761805830784 3138415716800 3368055891200 3452257288480 3732170041600 3945436901120 4315321610600 4931796126400 5311165059200 5523611661568 6276831433600 6904514576960 8630643221200 9863592252800 10622330118400 12553662867200 13809029153920 17261286442400 19727184505600 27618058307840 34522572884800 69045145769600 138090291539200
- Sum of all divisors σ(n): 485909204320512
- Sum of proper divisors (its aliquot sum) s(n): 347818912781312
- 138090291539200 is an abundant number, because the sum of its proper divisors (347818912781312) is greater than itself. Its abundance is 209728621242112
Bases of 138090291539200
- Binary: 111110110010111101001101100011000101101000000002
- Hexadecimal: 0x7D97A6C62D00
- Base-36: 1CY5SY730G
Squares and roots of 138090291539200
- 138090291539200 squared (1380902915392002) is 19068928617381251105136640000
- 138090291539200 cubed (1380902915392003) is 2633233912114370933544360808251916288000000
-
The
square root of 138090291539200 is 11751182.5591810119 -
The
cube root of 138090291539200 is 51687.7604772531
Scales and comparisons
How big is 138090291539200?- 138,090,291,539,200 seconds is equal to 4,390,844 years, 6 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,090,291,539,200 would take you about ten million, nine hundred seventy-seven thousand, one hundred ten 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 138090291539200 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138090291539200
- 138090291539200 backwards is 002935192090831
- 138090291539200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138090291539200's digits is 52
- More coming soon!
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"Number 138090291539200 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138090291539200 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138090291539200/
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The information we have on file for 138090291539200 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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