138218213392998336
138,218,213,392,998,336 is an even composite number composed of five prime numbers multiplied together.
What does the number 138218213392998336 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138218213392998336 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138218213392998336:
26 × 35 × 133 × 172 × 2413
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 17 × 17 × 241 × 241 × 241)See below for interesting mathematical facts about the number 138218213392998336 from the Numbermatics database.
Names of 138218213392998336
- Cardinal: 138218213392998336 can be written as One hundred thirty-eight quadrillion, two hundred eighteen trillion, two hundred thirteen billion, three hundred ninety-two million, nine hundred ninety-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.38218213392998336 × 1017
Factors of 138218213392998336
Divisors of 138218213392998336
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 136 144 153 156 162 169 192 204 208 216 221 234 241 243 272 288 289 306 312 324 338 351 408 416 432 442 459 468 482 486 507 544 576 578 612 624 648 663 676 702 723 816 832 864 867 884 918 936 964 972 1014 1053 1088 1156 1224 1248 1296 1326 1352 1377 1404 1446 1521 1632 1728 1734 1768 1836 1872 1928 1944 1989 2028 2106 2169 2197 2312 2448 2496 2592 2601 2652 2704 2754 2808 2873 2892 3042 3133 3159 3264 3468 3536 3672 3744 3757 3856 3888 3978 4056 4097 4131 4212 4338 4394 4563 4624 4896 5184 5202 5304 5408 5508 5616 5746 5784 5967 6084 6266 6318 6507 6591 6936 7072 7344 7488 7514 7712 7776 7803 7956 8112 8194 8262 8424 8619 8676 8788 9126 9248 9399 9792 10404 10608 10816 11016 11232 11271 11492 11568 11934 12168 12291 12532 12636 13014 13182 13689 13872 14144 14688 15028 15424 15552 15606 15912 16224 16388 16524 16848 17238 17352 17576 17901 18252 18496 18798 19521 19773 20808 21216 22032 22464 22542 22984 23136 23409 23868 24336 24582 25064 25272 25857 26028 26364 27378 27744 28197 29376 30056 31212 31824 32448 32776 33048 33696 33813 34476 34704 35152 35802 36504 36873 37349 37596 39042 39546 40729 41067 41616 42432 44064 45084 45968 46272 46818 47736 48672 48841 49164 50128 50544 51714 52056 52728 53261 53703 54756 55488 56394 58081 58563 59319 60112 62424 63648 65552 66096 67392 67626 68952 69408 69649 70227 70304 71604 73008 73746 74698 75192 77571 78084 79092 81458 82134 83232 84591 88128 90168 91936 93636 95472 97344 97682 98328 100256 101088 101439 103428 104112 105456 106522 107406 109512 110619 112047 112788 116162 117126 118638 120224 122187 124848 127296 131104 132192 135252 137904 138816 139298 140454 140608 143208 146016 146523 147492 149396 150384 155142 156168 158184 159783 162916 164268 166464 169182 174243 177957 180336 183872 187272 190944 195364 196656 200512 202176 202878 206856 208224 208947 210912 213044 214812 219024 221238 224094 225576 232324 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2710161046921536 2879546112354132 3544056753666624 3839394816472176 4065241570382304 4319319168531198 5119193088629568 5316085130499936 5759092224708264 7678789632944352 8130483140764608 8638638337062396 10632170260999872 11518184449416528 15357579265888704 17277276674124792 23036368898833056 34554553348249584 46072737797666112 69109106696499168 138218213392998336
- Sum of all divisors σ(n): 474763546742605120
- Sum of proper divisors (its aliquot sum) s(n): 336545333349606784
- 138218213392998336 is an abundant number, because the sum of its proper divisors (336545333349606784) is greater than itself. Its abundance is 198327119956608448
Bases of 138218213392998336
- Binary: 1111010110000110010111011100101101100011101011111110000002
- Hexadecimal: 0x1EB0CBB96C75FC0
- Base-36: 11SY9MNHOC00
Squares and roots of 138218213392998336
- 138218213392998336 squared (1382182133929983362) is 19104274513552424582234828098768896
- 138218213392998336 cubed (1382182133929983363) is 2640558691432608501887081795757806909165067776557056
-
The
square root of 138218213392998336 is 371777101.7599098127 -
The
cube root of 138218213392998336 is 517037.1610891815
Scales and comparisons
How big is 138218213392998336?- 138,218,213,392,998,336 seconds is equal to 4,394,911,648 years, 46 weeks, 2 days, 17 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,218,213,392,998,336 would take you about thirteen billion, one hundred eighty-four million, seven hundred thirty-four thousand, nine hundred forty-six 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 138218213392998336 cubic inches would be around 43086.4 feet tall.
Recreational maths with 138218213392998336
- 138218213392998336 backwards is 633899293312812831
- 138218213392998336 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138218213392998336's digits is 81
- More coming soon!
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"Number 138218213392998336 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138218213392998336 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138218213392998336/
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The information we have on file for 138218213392998336 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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