138168663087224640
138,168,663,087,224,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138168663087224640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138168663087224640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138168663087224640:
26 × 3 × 5 × 132 × 29 × 61 × 1572 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 29 × 61 × 157 × 157 × 19531)See below for interesting mathematical facts about the number 138168663087224640 from the Numbermatics database.
Names of 138168663087224640
- Cardinal: 138168663087224640 can be written as One hundred thirty-eight quadrillion, one hundred sixty-eight trillion, six hundred sixty-three billion, eighty-seven million, two hundred twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3816866308722464 × 1017
Factors of 138168663087224640
Divisors of 138168663087224640
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 61 64 65 78 80 87 96 104 116 120 122 130 145 156 157 160 169 174 183 192 195 208 232 240 244 260 290 305 312 314 320 338 348 366 377 390 416 435 464 471 480 488 507 520 580 610 624 628 676 696 732 754 780 785 793 832 845 870 915 928 942 960 976 1014 1040 1131 1160 1220 1248 1256 1352 1392 1464 1508 1560 1570 1586 1690 1740 1769 1830 1856 1884 1885 1952 2028 2041 2080 2262 2320 2355 2379 2440 2496 2512 2535 2704 2784 2928 3016 3120 3140 3172 3380 3480 3538 3660 3768 3770 3904 3965 4056 4082 4160 4524 4553 4640 4710 4758 4880 4901 5024 5070 5307 5408 5568 5655 5856 6032 6123 6240 6280 6344 6760 6960 7076 7320 7536 7540 7930 8112 8164 8845 9048 9106 9280 9420 9516 9577 9760 9802 10048 10140 10205 10309 10614 10816 11310 11712 11895 12064 12246 12480 12560 12688 13520 13659 13920 14152 14640 14703 15072 15080 15860 16224 16328 17690 18096 18212 18840 19032 19154 19520 19531 19604 20280 20410 20618 21228 22620 22765 22997 23790 24128 24492 24505 24649 25120 25376 26533 26535 27040 27318 27840 28304 28731 29280 29406 30144 30160 30615 30927 31720 32448 32656 35380 36192 36424 37680 38064 38308 39062 39208 40560 40820 41236 42456 45240 45530 45994 47580 47885 48984 49010 49298 50240 50752 51545 53066 53070 54080 54636 56608 57462 58560 58593 58812 59189 60320 61230 61854 63440 65312 68295 68991 70760 72384 72848 73515 73947 75360 76128 76616 78124 78416 79599 81120 81640 82472 84912 90480 91060 91988 95160 95770 97655 97968 98020 98596 103090 106132 106140 109272 113216 114924 114985 117186 117624 118378 120640 122460 123245 123708 124501 126880 130624 132665 136590 137982 141520 143655 145696 147030 147894 150720 152256 153232 154635 156248 156832 159198 162240 163280 164944 169824 177567 180960 182120 183976 190320 191540 195310 195936 196040 197192 206180 212264 212280 218544 229848 229970 234372 235248 236756 244920 246490 247416 249002 253760 253903 265330 273180 275964 277733 283040 287310 291392 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3454216577180616 3542786233005760 4317770721475770 4605622102907488 4764436658180160 5314179349508640 5757027628634360 6908433154361232 8635541442951540 9211244205814976 10628358699017280 11514055257268720 13816866308722464 17271082885903080 23028110514537440 27633732617444928 34542165771806160 46056221029074880 69084331543612320 138168663087224640
- Sum of all divisors σ(n): 502689667770149760
- Sum of proper divisors (its aliquot sum) s(n): 364521004682925120
- 138168663087224640 is an abundant number, because the sum of its proper divisors (364521004682925120) is greater than itself. Its abundance is 226352341595700480
Bases of 138168663087224640
- Binary: 1111010101101111110101010110000100110011110010111010000002
- Hexadecimal: 0x1EADFAAC2679740
- Base-36: 11SGPBK0YW5C
Squares and roots of 138168663087224640
- 138168663087224640 squared (1381686630872246402) is 19090579459310992786520777823129600
- 138168663087224640 cubed (1381686630872246403) is 2637719841453431695246016287388739005867263033344000
-
The
square root of 138168663087224640 is 371710455.9831814039 -
The
cube root of 138168663087224640 is 516975.3689156217
Scales and comparisons
How big is 138168663087224640?- 138,168,663,087,224,640 seconds is equal to 4,393,336,102 years, 22 weeks, 5 days, 7 hours, 44 minutes.
-
To count from 1 to 138,168,663,087,224,640 would take you about thirteen billion, one hundred eighty million, eight thousand, three hundred seven 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 138168663087224640 cubic inches would be around 43081.3 feet tall.
Recreational maths with 138168663087224640
- 138168663087224640 backwards is 046422780366861831
- The number of decimal digits it has is: 18
- The sum of 138168663087224640's digits is 75
- More coming soon!
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"Number 138168663087224640 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138168663087224640 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138168663087224640/
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The information we have on file for 138168663087224640 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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