138613815887120640
138,613,815,887,120,640 is an even composite number composed of six prime numbers multiplied together.
138613815887120640 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 138613815887120640:
28 × 33 × 5 × 114 × 2932 × 3191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 293 × 293 × 3191)See below for interesting mathematical facts about the number 138613815887120640 from the Numbermatics database.
Names of 138613815887120640
- Cardinal: 138613815887120640 can be written as One hundred thirty-eight quadrillion, six hundred thirteen trillion, eight hundred fifteen billion, eight hundred eighty-seven million, one hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3861381588712064 × 1017
Factors of 138613815887120640
Divisors of 138613815887120640
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 121 128 132 135 144 160 165 176 180 192 198 216 220 240 242 256 264 270 288 293 297 320 330 352 360 363 384 396 432 440 480 484 495 528 540 576 586 594 605 640 660 704 720 726 768 792 864 879 880 960 968 990 1056 1080 1089 1152 1172 1188 1210 1280 1320 1331 1408 1440 1452 1465 1485 1584 1728 1758 1760 1815 1920 1936 1980 2112 2160 2178 2304 2344 2376 2420 2637 2640 2662 2816 2880 2904 2930 2970 3168 3191 3223 3267 3456 3516 3520 3630 3840 3872 3960 3993 4224 4320 4356 4395 4688 4752 4840 5274 5280 5324 5445 5760 5808 5860 5940 6336 6382 6446 6534 6655 6912 7032 7040 7260 7744 7911 7920 7986 8448 8640 8712 8790 9376 9504 9573 9669 9680 10548 10560 10648 10890 11520 11616 11720 11880 11979 12672 12764 12892 13068 13185 13310 14064 14080 14520 14641 15488 15822 15840 15955 15972 16115 16335 17280 17424 17580 18752 19008 19146 19338 19360 19965 21096 21120 21296 21780 23232 23440 23760 23958 25344 25528 25784 26136 26370 26620 28128 28719 29007 29040 29282 30976 31644 31680 31910 31944 32230 32670 34560 34848 35101 35160 35453 35937 37504 38016 38292 38676 38720 39555 39930 42192 42240 42592 43560 43923 46464 46880 47520 47865 47916 48345 51056 51568 52272 52740 53240 56256 57438 58014 58080 58564 59895 63288 63360 63820 63888 64460 65340 69696 70202 70320 70906 71874 73205 75008 76032 76584 77352 77440 79110 79860 84384 85184 85849 86157 87021 87120 87846 92928 93760 95040 95730 95832 96690 102112 103136 104544 105303 105480 106359 106480 112512 114876 116028 116160 117128 119790 126576 126720 127640 127776 128920 130680 131769 139392 140404 140640 141812 143595 143748 145035 146410 153168 154704 154880 158220 159720 168768 170368 171698 172314 174042 174240 175505 175692 177265 179685 187520 190080 191460 191664 193380 204224 206272 209088 210606 210960 212718 212960 219615 225024 229752 232056 232320 234256 239580 253152 255280 255552 257547 257840 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78757849935864 78847449310080 80216328638380 87508722150960 93342636961024 94616939172096 95464060528320 96259594366056 98447312419830 104142611485440 105010466581152 108292043661813 114556872633984 116678296201280 118271173965120 120324492957570 127285414037760 128346125821408 131263083226440 140013955441536 143196090792480 144389391549084 157515699871728 157694898620160 160432657276760 175017444301920 180486739436355 190928121056640 192519188732112 196894624839660 210020933162304 216584087323626 229113745267968 233356592402560 236542347930240 240648985915140 256692251642816 262526166452880 280027910883072 286392181584960 288778783098168 315031399743456 320865314553520 350034888603840 360973478872710 381856242113280 385038377464224 393789249679320 420041866324608 433168174647252 466713184805120 473084695860480 481297971830280 513384503285632 525052332905760 541460218309065 572784363169920 577557566196336 630062799486912 641730629107040 700069777207680 721946957745420 770076754928448 787578499358640 840083732649216 866336349294504 962595943660560 1026769006571264 1050104665811520 1082920436618130 1145568726339840 1155115132392672 1260125598973824 1283461258214080 1400139554415360 1443893915490840 1540153509856896 1575156998717280 1732672698589008 1925191887321120 2100209331623040 2165840873236260 2310230264785344 2520251197947648 2566922516428160 2887787830981680 3080307019713792 3150313997434560 3465345397178016 3850383774642240 4200418663246080 4331681746472520 4620460529570688 5133845032856320 5775575661963360 6300627994869120 6930690794356032 7700767549284480 8663363492945040 9240921059141376 11551151323926720 12601255989738240 13861381588712064 15401535098568960 17326726985890080 23102302647853440 27722763177424128 34653453971780160 46204605295706880 69306907943560320 138613815887120640
- Sum of all divisors σ(n): 543094926903043200
- Sum of proper divisors (its aliquot sum) s(n): 404481111015922560
- 138613815887120640 is an abundant number, because the sum of its proper divisors (404481111015922560) is greater than itself. Its abundance is 265867295128801920
Bases of 138613815887120640
- Binary: 1111011000111010010000111111110001110100111001001000000002
- Hexadecimal: 0x1EC7487F8E9C900
- Base-36: 11WUHVXGITC0
Squares and roots of 138613815887120640
- 138613815887120640 squared (1386138158871206402) is 19213789954788578338266229914009600
- 138613815887120640 cubed (1386138158871206403) is 2663296743286872003411057294180866974327341318144000
-
The
square root of 138613815887120640 is 372308764.1825271887 -
The
cube root of 138613815887120640 is 517529.9720630677
Scales and comparisons
How big is 138613815887120640?- 138,613,815,887,120,640 seconds is equal to 4,407,490,584 years, 27 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 138,613,815,887,120,640 would take you about thirteen billion, two hundred twenty-two million, four hundred seventy-one thousand, seven hundred fifty-three 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 138613815887120640 cubic inches would be around 43127.5 feet tall.
Recreational maths with 138613815887120640
- 138613815887120640 backwards is 046021788518316831
- 138613815887120640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138613815887120640's digits is 72
- More coming soon!
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"Number 138613815887120640 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138613815887120640 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138613815887120640/
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The information we have on file for 138613815887120640 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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