138916657553096800
138,916,657,553,096,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138916657553096800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138916657553096800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138916657553096800:
25 × 52 × 133 × 23 × 314 × 612
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 23 × 31 × 31 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 138916657553096800 from the Numbermatics database.
Names of 138916657553096800
- Cardinal: 138916657553096800 can be written as One hundred thirty-eight quadrillion, nine hundred sixteen trillion, six hundred fifty-seven billion, five hundred fifty-three million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389166575530968 × 1017
Factors of 138916657553096800
Divisors of 138916657553096800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 31 32 40 46 50 52 61 62 65 80 92 100 104 115 122 124 130 155 160 169 184 200 208 230 244 248 260 299 305 310 325 338 368 400 403 416 460 488 496 520 575 598 610 620 650 676 713 736 775 793 800 806 845 920 961 976 992 1040 1150 1196 1220 1240 1300 1352 1403 1426 1495 1525 1550 1586 1612 1690 1840 1891 1922 1952 2015 2080 2197 2300 2392 2440 2480 2600 2704 2806 2852 2990 3050 3100 3172 3224 3380 3565 3680 3721 3782 3844 3887 3965 4030 4225 4394 4600 4784 4805 4880 4960 5200 5239 5408 5612 5704 5980 6100 6200 6344 6448 6760 7015 7130 7442 7475 7564 7688 7774 7930 8060 8450 8788 9200 9269 9455 9568 9610 9760 10075 10309 10400 10478 10985 11224 11408 11960 12200 12400 12493 12688 12896 13520 14030 14260 14884 14950 15128 15376 15548 15860 16120 16900 17576 17825 18239 18400 18538 18605 18910 19220 19435 19825 20150 20618 20956 21970 22103 22448 22816 23920 24025 24400 24583 24800 24986 25376 26195 27040 28060 28520 29768 29791 29900 30256 30752 31096 31720 32240 33800 35075 35152 35650 36478 37076 37210 37820 38440 38870 39650 40300 41236 41912 43493 43940 44206 44896 46345 47275 47840 48050 48373 48800 49166 49972 50531 51545 52390 54925 56120 57040 58621 59536 59582 59800 60512 62192 62465 63440 64480 67600 68107 70150 70304 71300 72956 74152 74420 75640 76880 77740 79300 80600 82472 83824 85583 86986 87880 88412 91195 92690 93025 94550 96100 96746 97175 98332 99944 101062 103090 104780 109850 110515 112240 114080 115351 117242 119072 119164 119600 120497 122915 124384 124930 126880 130975 134017 135200 136214 140300 142600 145912 148304 148840 148955 151280 153760 155480 158600 161200 162409 164944 167648 171166 173972 175760 176824 182390 185380 186050 189100 192200 193492 194350 196664 199888 202124 206180 209560 217465 219700 221030 224480 230702 231725 234484 237107 238328 239200 240994 241865 245830 249860 252655 257725 261950 268034 272428 280600 285200 287339 291824 293105 296608 297680 297910 302560 310960 312325 317200 319579 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35035726999520 35738785066400 36138568562200 36731004112400 37333151720800 37749091726385 38966804362720 41099602826360 43088293285700 43794658749400 44811825017128 45546445099376 46460420586320 48708505453400 49507005542800 51374503532950 53429483674268 56014781271410 56933056374220 58075525732900 60398546762216 63230158194400 66786854592835 68941269257120 71166320467775 72277137124400 73462008224800 75498183452770 82199205652720 86176586571400 87589317498800 89623650034256 91092890198752 92920841172640 97417010906800 99014011085600 102749007065900 106858967348536 112029562542820 113866112748440 116151051465800 120797093524432 133573709185670 140036953178525 142332640935550 144554274248800 150996366905540 164398411305440 172353173142800 173645821941371 175178634997600 179247300068512 188745458631925 194834021813600 205498014131800 213717934697072 224059125085640 227732225496880 232302102931600 241594187048864 267147418371340 280073906357050 284665281871100 301992733811080 333934272964175 344706346285600 347291643882742 377490917263850 410996028263600 427435869394144 448118250171280 455464450993760 464604205863200 534294836742680 560147812714100 569330563742200 603985467622160 667868545928350 694583287765484 754981834527700 821992056527200 868229109706855 896236500342560 1068589673485360 1120295625428200 1138661127484400 1207970935244320 1335737091856700 1389166575530968 1509963669055400 1736458219413710 2137179346970720 2240591250856400 2277322254968800 2671474183713400 2778333151061936 3019927338110800 3472916438827420 4341145548534275 4481182501712800 5342948367426800 5556666302123872 6039854676221600 6945832877654840 8682291097068550 10685896734853600 13891665755309680 17364582194137100 27783331510619360 34729164388274200 69458328776548400 138916657553096800
- Sum of all divisors σ(n): 402730000491218400
- Sum of proper divisors (its aliquot sum) s(n): 263813342938121600
- 138916657553096800 is an abundant number, because the sum of its proper divisors (263813342938121600) is greater than itself. Its abundance is 124896685385024800
Bases of 138916657553096800
- Binary: 1111011011000011111110110110010101101011001000000011000002
- Hexadecimal: 0x1ED87F6CAD64060
- Base-36: 11ZTUFGXAYXS
Squares and roots of 138916657553096800
- 138916657553096800 squared (1389166575530968002) is 19297837745724366212711270170240000
- 138916657553096800 cubed (1389166575530968003) is 2680791117638017301792961192552284542775199232000000
-
The
square root of 138916657553096800 is 372715249.9604715665 -
The
cube root of 138916657553096800 is 517906.5955041845
Scales and comparisons
How big is 138916657553096800?- 138,916,657,553,096,800 seconds is equal to 4,417,120,012 years, 39 weeks, 1 day, 7 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,916,657,553,096,800 would take you about thirteen billion, two hundred fifty-one million, three hundred sixty thousand and thirty-eight 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 138916657553096800 cubic inches would be around 43158.9 feet tall.
Recreational maths with 138916657553096800
- 138916657553096800 backwards is 008690355756619831
- The number of decimal digits it has is: 18
- The sum of 138916657553096800's digits is 82
- More coming soon!
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"Number 138916657553096800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138916657553096800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138916657553096800/
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The information we have on file for 138916657553096800 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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