138975776844443448
138,975,776,844,443,448 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138975776844443448 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
138975776844443448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138975776844443448:
23 × 3 × 72 × 136 × 312 × 73 × 349
(2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 31 × 31 × 73 × 349)See below for interesting mathematical facts about the number 138975776844443448 from the Numbermatics database.
Names of 138975776844443448
- Cardinal: 138975776844443448 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-five trillion, seven hundred seventy-six billion, eight hundred forty-four million, four hundred forty-three thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38975776844443448 × 1017
Factors of 138975776844443448
Divisors of 138975776844443448
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 49 52 56 62 73 78 84 91 93 98 104 124 146 147 156 168 169 182 186 196 217 219 248 273 292 294 312 338 349 364 372 392 403 434 438 507 511 546 584 588 637 651 676 698 728 744 806 868 876 949 961 1014 1022 1047 1092 1176 1183 1209 1274 1302 1352 1396 1519 1533 1612 1736 1752 1898 1911 1922 2028 2044 2094 2184 2197 2263 2366 2418 2443 2548 2604 2792 2821 2847 2883 3038 3066 3224 3549 3577 3796 3822 3844 4056 4088 4188 4394 4526 4537 4557 4732 4836 4886 5096 5208 5239 5642 5694 5766 6076 6132 6591 6643 6727 6789 7098 7154 7329 7592 7644 7688 8281 8376 8463 8788 9052 9074 9114 9464 9672 9772 10478 10731 10819 11284 11388 11532 12152 12264 12337 12493 13182 13286 13454 13578 13611 14196 14308 14658 15288 15379 15717 15841 16562 16926 17101 17576 18104 18148 18228 19544 19747 19929 20181 20956 21462 21638 22568 22776 23064 24674 24843 24986 25477 26364 26572 26908 27156 27222 28392 28561 28616 29316 29419 30758 31434 31682 31759 32457 33124 33852 34202 36296 36456 36673 37011 37479 39494 39858 40362 41912 42924 43276 46137 46501 47089 47523 49348 49686 49972 50954 51303 52728 53144 53816 54312 54444 57122 58632 58838 58981 59241 61516 62868 63364 63518 64914 66248 67704 68107 68404 70153 73346 74022 74958 75733 76431 78988 79716 80724 85683 85848 86359 86552 87451 88257 92274 93002 94178 95046 95277 98696 99372 99944 101908 102606 107653 108888 110019 110887 114244 117676 117962 118482 123032 125736 126728 127036 129828 136214 136808 139503 140306 140647 141267 146692 148044 149916 151466 152862 157976 159432 160381 161448 162409 171366 172718 174902 176514 176943 178339 184548 186004 188356 190092 190554 198744 199927 203816 204321 205212 205933 210459 215306 220038 221774 222313 227199 228488 235352 235924 236964 254072 256711 259077 259656 262353 272428 279006 280612 281294 282534 293384 296088 299832 302932 305724 320762 322959 324818 331201 332661 335389 342732 345436 349804 353028 353886 356678 369096 371293 372008 376712 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2481710300793633 2672611093162374 2836240343764152 3308947067724844 3563481457549832 4483089575627208 4963420601587266 5345222186324748 5790657368518477 6617894135449688 9926841203174532 10690444372649496 11581314737036954 17371972105555431 19853682406349064 23162629474073908 34743944211110862 46325258948147816 69487888422221724 138975776844443448
- Sum of all divisors σ(n): 459935923658022000
- Sum of proper divisors (its aliquot sum) s(n): 320960146813578552
- 138975776844443448 is an abundant number, because the sum of its proper divisors (320960146813578552) is greater than itself. Its abundance is 181984369969135104
Bases of 138975776844443448
- Binary: 1111011011011110110111011100100110011001001101111001110002
- Hexadecimal: 0x1EDBDBB93326F38
- Base-36: 120ESUHWYH4O
Squares and roots of 138975776844443448
- 138975776844443448 squared (1389757768444434482) is 19314266549516543660916032870128704
- 138975776844443448 cubed (1389757768444434483) is 2684215197899709920778499401034121493607123009531392
-
The
square root of 138975776844443448 is 372794550.4489616975 -
The
cube root of 138975776844443448 is 517980.0542456367
Scales and comparisons
How big is 138975776844443448?- 138,975,776,844,443,448 seconds is equal to 4,418,999,823 years, 18 weeks, 1 day, 13 hours, 50 minutes, 48 seconds.
-
To count from 1 to 138,975,776,844,443,448 would take you about thirteen billion, two hundred fifty-six million, nine hundred ninety-nine thousand, four hundred seventy 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 138975776844443448 cubic inches would be around 43165 feet tall.
Recreational maths with 138975776844443448
- 138975776844443448 backwards is 844344448677579831
- The number of decimal digits it has is: 18
- The sum of 138975776844443448's digits is 96
- More coming soon!
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"Number 138975776844443448 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138975776844443448 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138975776844443448/
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The information we have on file for 138975776844443448 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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