137381439025152
137,381,439,025,152 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137381439025152 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
137381439025152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 137381439025152:
212 × 33 × 72 × 31 × 59 × 83 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 31 × 59 × 83 × 167)See below for interesting mathematical facts about the number 137381439025152 from the Numbermatics database.
Names of 137381439025152
- Cardinal: 137381439025152 can be written as One hundred thirty-seven trillion, three hundred eighty-one billion, four hundred thirty-nine million, twenty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37381439025152 × 1014
Factors of 137381439025152
Divisors of 137381439025152
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 59 62 63 64 72 83 84 93 96 98 108 112 118 124 126 128 144 147 166 167 168 177 186 189 192 196 216 217 224 236 248 249 252 256 279 288 294 332 334 336 354 372 378 384 392 413 432 434 441 448 472 496 498 501 504 512 531 558 576 581 588 651 664 668 672 708 744 747 756 768 784 826 837 864 868 882 896 944 992 996 1002 1008 1024 1062 1116 1152 1162 1169 1176 1239 1302 1323 1328 1336 1344 1416 1488 1494 1503 1512 1519 1536 1568 1593 1652 1674 1728 1736 1743 1764 1792 1829 1888 1953 1984 1992 2004 2016 2048 2124 2232 2241 2304 2324 2338 2352 2478 2573 2604 2646 2656 2672 2688 2832 2891 2976 2988 3006 3024 3038 3072 3136 3186 3304 3348 3456 3472 3486 3507 3528 3584 3658 3717 3776 3906 3968 3984 4008 4032 4067 4096 4248 4464 4482 4509 4557 4608 4648 4676 4704 4897 4956 5146 5177 5208 5229 5292 5312 5344 5376 5487 5664 5782 5859 5952 5976 6012 6048 6076 6144 6272 6372 6608 6696 6912 6944 6972 7014 7056 7168 7316 7434 7552 7719 7812 7936 7968 8016 8064 8134 8183 8496 8673 8928 8964 9018 9114 9216 9296 9352 9408 9794 9853 9912 10292 10354 10416 10458 10521 10584 10624 10688 10752 10974 11151 11328 11564 11718 11904 11952 12024 12096 12152 12201 12288 12544 12744 12803 13216 13392 13671 13824 13861 13888 13944 14028 14112 14336 14632 14691 14868 15104 15438 15531 15624 15687 15872 15936 16032 16128 16268 16366 16461 16992 17346 17856 17928 18011 18036 18228 18432 18592 18704 18816 19588 19706 19824 20584 20708 20832 20916 21042 21168 21248 21376 21504 21948 22302 22656 23128 23157 23436 23808 23904 24048 24192 24304 24402 24549 25088 25488 25606 26019 26432 26784 27342 27648 27722 27776 27888 28056 28224 28672 29264 29382 29559 29736 30208 30876 31062 31248 31374 31563 31744 31872 32064 32256 32536 32732 32922 33984 34279 34692 35712 35856 36022 36072 36239 36456 36603 36864 37184 37408 37632 38409 39176 39412 39648 41013 41168 41416 41583 41664 41832 42084 42336 42496 42752 43008 43896 44073 44604 45312 46256 46314 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137933171712 138489353856 145531185408 153327498912 155761268736 158273547264 159006295168 164135530496 166321354752 175231427328 178882082064 181721480192 183910895616 184652471808 194041580544 204436665216 205660836864 206899757568 211031396352 233641903104 236456865792 238509442752 246203295744 258722107392 268323123096 272582220288 274214449152 275866343424 276978707712 291062370816 306654997824 311522537472 316547094528 318012590336 332642709504 350462854656 357764164128 363442960384 369304943616 388083161088 408873330432 411321673728 413799515136 467283806208 477018885504 492406591488 536646246192 545164440576 551732686848 553957415424 582124741632 613309995648 633094189056 636025180672 700925709312 715528328256 726885920768 738609887232 776166322176 817746660864 822643347456 827599030272 934567612416 954037771008 1073292492384 1090328881152 1107914830848 1164249483264 1226619991296 1272050361344 1401851418624 1431056656512 1477219774464 1635493321728 1655198060544 1908075542016 2146584984768 2180657762304 2215829661696 2328498966528 2453239982592 2544100722688 2803702837248 2862113313024 3270986643456 3816151084032 4293169969536 4431659323392 4906479965184 5088201445376 5724226626048 6541973286912 7632302168064 8586339939072 9812959930368 11448453252096 15264604336128 17172679878144 19625919860736 22896906504192 34345359756288 45793813008384 68690719512576 137381439025152
- Sum of all divisors σ(n): 506012877619200
- Sum of proper divisors (its aliquot sum) s(n): 368631438594048
- 137381439025152 is an abundant number, because the sum of its proper divisors (368631438594048) is greater than itself. Its abundance is 231249999568896
Bases of 137381439025152
- Binary: 111110011110010100110111101111100110000000000002
- Hexadecimal: 0x7CF29BDF3000
- Base-36: 1CP45TPMO0
Squares and roots of 137381439025152
- 137381439025152 squared (1373814390251522) is 18873659788621556908088623104
- 137381439025152 cubed (1373814390251523) is 2592890541431975605457015180908411704311808
-
The
square root of 137381439025152 is 11720982.8523529547 -
The
cube root of 137381439025152 is 51599.1665812389
Scales and comparisons
How big is 137381439025152?- 137,381,439,025,152 seconds is equal to 4,368,304 years, 42 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 137,381,439,025,152 would take you about ten million, nine hundred twenty thousand, seven hundred sixty-two 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 137381439025152 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137381439025152
- 137381439025152 backwards is 251520934183731
- 137381439025152 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137381439025152's digits is 54
- More coming soon!
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"Number 137381439025152 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137381439025152 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137381439025152/
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The information we have on file for 137381439025152 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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