138518828776325952
138,518,828,776,325,952 is an even composite number composed of five prime numbers multiplied together.
What does the number 138518828776325952 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2184 divisors.
138518828776325952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-four divisors.
Prime factorization of 138518828776325952:
26 × 312 × 192 × 29 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 29 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138518828776325952 from the Numbermatics database.
Names of 138518828776325952
- Cardinal: 138518828776325952 can be written as One hundred thirty-eight quadrillion, five hundred eighteen trillion, eight hundred twenty-eight billion, seven hundred seventy-six million, three hundred twenty-five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38518828776325952 × 1017
Factors of 138518828776325952
Divisors of 138518828776325952
- Number of divisors d(n): 2184
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 29 32 36 38 48 54 57 58 64 72 73 76 81 87 96 108 114 116 144 146 152 162 171 174 192 216 219 228 232 243 261 288 292 304 324 342 348 361 432 438 456 464 486 513 522 551 576 584 608 648 657 684 696 722 729 783 864 876 912 928 972 1026 1044 1083 1102 1168 1216 1296 1314 1368 1387 1392 1444 1458 1539 1566 1653 1728 1752 1824 1856 1944 1971 2052 2088 2117 2166 2187 2204 2336 2349 2592 2628 2736 2774 2784 2888 2916 3078 3132 3249 3306 3504 3648 3888 3942 4104 4161 4176 4234 4332 4374 4408 4617 4672 4698 4959 5184 5256 5329 5472 5548 5568 5776 5832 5913 6156 6264 6351 6498 6561 6612 7008 7047 7776 7884 8208 8322 8352 8468 8664 8748 8816 9234 9396 9747 9918 10469 10512 10658 10944 11096 11552 11664 11826 12312 12483 12528 12702 12996 13122 13224 13851 14016 14094 14877 15552 15768 15987 16416 16644 16704 16936 17328 17496 17632 17739 18468 18792 19053 19494 19683 19836 20938 21024 21141 21316 22192 23104 23328 23652 24624 24966 25056 25404 25992 26244 26353 26448 27702 28188 29241 29754 31407 31536 31974 32832 33288 33872 34656 34992 35264 35478 36936 37449 37584 38106 38988 39366 39672 40223 41553 41876 42048 42282 42632 44384 44631 46656 47304 47961 49248 49932 50112 50808 51984 52488 52706 52896 53217 55404 56376 57159 58482 59049 59508 62814 63072 63423 63948 66576 67744 69312 69984 70956 73872 74898 75168 76212 77976 78732 79059 79344 80446 83106 83752 84564 85264 87723 88768 89262 94221 94608 95922 98496 99864 101251 101616 103968 104976 105412 105792 106434 110808 112347 112752 114318 116964 118098 119016 120669 124659 125628 126144 126846 127896 133152 133893 135488 139968 141912 143883 147744 149796 150336 152424 154541 155952 157464 158118 158688 159651 160892 166212 167504 169128 170528 171477 175446 177147 178524 188442 189216 190269 191844 199728 202502 203232 207936 209952 210824 212868 221616 224694 225504 228636 233928 236196 237177 238032 241338 249318 251256 253692 255792 263169 266304 267786 282663 283824 287766 295488 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69259414388162976 138518828776325952
- Sum of all divisors σ(n): 456409760498008200
- Sum of proper divisors (its aliquot sum) s(n): 317890931721682248
- 138518828776325952 is an abundant number, because the sum of its proper divisors (317890931721682248) is greater than itself. Its abundance is 179372102945356296
Bases of 138518828776325952
- Binary: 1111011000001111000100100000011111110101010000011010000002
- Hexadecimal: 0x1EC1E240FEA8340
- Base-36: 11VWTRGB9000
Squares and roots of 138518828776325952
- 138518828776325952 squared (1385188287763259522) is 19187465925565106636730495748706304
- 138518828776325952 cubed (1385188287763259523) is 2657825307194941560146822570711100025838086221201408
-
The
square root of 138518828776325952 is 372181177.3536189351 -
The
cube root of 138518828776325952 is 517411.7300979005
Scales and comparisons
How big is 138518828776325952?- 138,518,828,776,325,952 seconds is equal to 4,404,470,288 years, 11 weeks, 2 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,518,828,776,325,952 would take you about thirteen billion, two hundred thirteen million, four hundred ten thousand, eight hundred sixty-four 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 138518828776325952 cubic inches would be around 43117.6 feet tall.
Recreational maths with 138518828776325952
- 138518828776325952 backwards is 259523677828815831
- The number of decimal digits it has is: 18
- The sum of 138518828776325952's digits is 90
- More coming soon!
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"Number 138518828776325952 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138518828776325952 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138518828776325952/
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The information we have on file for 138518828776325952 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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