138474023734009215
138,474,023,734,009,215 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138474023734009215 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
138474023734009215 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138474023734009215:
34 × 5 × 72 × 172 × 41 × 59 × 732 × 1873
(3 × 3 × 3 × 3 × 5 × 7 × 7 × 17 × 17 × 41 × 59 × 73 × 73 × 1873)See below for interesting mathematical facts about the number 138474023734009215 from the Numbermatics database.
Names of 138474023734009215
- Cardinal: 138474023734009215 can be written as One hundred thirty-eight quadrillion, four hundred seventy-four trillion, twenty-three billion, seven hundred thirty-four million, nine thousand, two hundred fifteen.
Scientific notation
- Scientific notation: 1.38474023734009215 × 1017
Factors of 138474023734009215
Divisors of 138474023734009215
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 7 9 15 17 21 27 35 41 45 49 51 59 63 73 81 85 105 119 123 135 147 153 177 189 205 219 245 255 287 289 295 315 357 365 369 405 413 441 459 511 531 567 595 615 657 697 735 765 833 861 867 885 945 1003 1071 1095 1107 1239 1241 1323 1377 1435 1445 1533 1593 1785 1845 1873 1971 2009 2023 2065 2091 2205 2295 2419 2499 2555 2583 2601 2655 2835 2891 2993 3009 3213 3285 3321 3485 3577 3717 3723 3969 4165 4305 4307 4335 4599 4779 4879 5015 5329 5355 5535 5619 5913 6027 6069 6195 6205 6273 6615 6885 7021 7257 7497 7665 7749 7803 7965 8673 8687 8979 9027 9365 9639 9855 10045 10115 10455 10731 11151 11169 11849 12095 12495 12915 12921 13005 13111 13797 14161 14455 14637 14965 15045 15987 16065 16605 16857 16933 17051 17885 18081 18207 18585 18615 18819 19845 20951 21063 21097 21535 21771 22491 22995 23247 23409 23895 24395 26019 26061 26645 26937 27081 28095 29565 30135 30149 30345 31365 31841 32193 33453 33507 34153 35105 35547 36285 37303 37485 38745 38763 39015 39333 41123 41391 42483 43365 43435 43911 44895 45135 47961 48195 49147 50571 50799 50881 51153 53655 54243 54621 55755 55845 56457 59245 60809 62853 63189 63291 64605 65313 65555 67473 68985 70805 73185 73219 76793 78057 78183 79935 80811 81243 82943 84285 84665 85255 90405 90447 90593 91035 91777 94095 95523 96579 100521 102459 104755 105315 105485 106641 108855 110507 111909 112455 116235 116289 117045 117999 118531 119357 123369 127449 130095 130305 131733 134685 135405 136729 143883 146657 147441 147679 150745 151713 152397 152643 153459 159205 160965 162729 163863 167265 167535 170765 176587 177735 182427 186515 188559 189567 189873 193815 195939 196665 205615 206955 211043 212415 218489 219555 219657 222887 230379 234171 234549 239805 242433 245735 248829 252855 253995 254405 255765 261121 271215 271341 271779 273105 275331 282285 286569 287861 289737 304045 307377 314265 314411 315945 316455 319923 326565 331521 335727 337365 348867 353997 355593 356167 358071 366095 370107 382347 383965 390285 390915 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22074609235455 22316522761323 22352546204037 22816612907235 22975613694045 23418573268055 24643891036485 25017890466849 25858827961533 25984992256335 27611968840281 28381640445585 28975522857085 30109594201785 31943258070129 32150922622245 32165859171663 33247064521971 34888894868735 37194204602205 37254243673395 38712335402295 39734296623819 41696484111415 42153431882499 43098046602555 46019948067135 46265961822255 47898313294365 48844452816229 52155941142753 53238763450215 53609765286105 54197269563213 55411774203285 57244325644485 60337265243577 62800010763723 66223827706365 67057638612111 68449838721705 68926841082135 70255719804165 73931673109455 75053671400547 77576483884599 86926568571255 90328782605355 95829774210387 96497577514989 100562108739295 104666684606205 111582613806615 111762731020185 125089452334245 126460295647497 129294139807665 138059844201405 146533358448687 156467823428259 159716290350645 160829295858315 166235322609855 181011795730731 188400032291169 198671483119095 210767159412495 225161014201641 232729451653797 244222264081145 260779705713765 270986347816065 301686326217885 314000053818615 335288193060555 341911169713603 375268357002735 379380886942491 387882419422995 439600075346061 469403470284777 479148871051935 482487887574945 543035387192193 565200096873507 632301478237485 675483042604923 732666792243435 782339117141295 905058978653655 942000161455845 1025733509140809 1125805071008205 1163647258268985 1318800226038183 1629106161576579 1709555848568015 1896904434712455 2198000376730305 2347017351423885 2715176935960965 2826000484367535 3077200527422427 3377415213024615 3956400678114549 5128667545704045 6594001130190915 8145530807882895 9231601582267281 15386002637112135 19782003390572745 27694804746801843 46158007911336405 138474023734009215
- Sum of all divisors σ(n): 324156658389046560
- Sum of proper divisors (its aliquot sum) s(n): 185682634655037345
- 138474023734009215 is an abundant number, because the sum of its proper divisors (185682634655037345) is greater than itself. Its abundance is 47208610921028130
Bases of 138474023734009215
- Binary: 1111010111111010101100100000100110100100011011101011111112
- Hexadecimal: 0x1EBF5641348DD7F
- Base-36: 11VGY0ATVWXR
Squares and roots of 138474023734009215
- 138474023734009215 squared (1384740237340092152) is 19175055249086947379013417704916225
- 138474023734009215 cubed (1384740237340092153) is 2655247055663003931325233432995122757775834953013375
-
The
square root of 138474023734009215 is 372120979.9702365813 -
The
cube root of 138474023734009215 is 517355.9370704453
Scales and comparisons
How big is 138474023734009215?- 138,474,023,734,009,215 seconds is equal to 4,403,045,626 years, 24 weeks, 12 hours, 20 minutes, 15 seconds.
-
To count from 1 to 138,474,023,734,009,215 would take you about thirteen billion, two hundred nine million, one hundred thirty-six thousand, eight hundred seventy-nine 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 138474023734009215 cubic inches would be around 43113 feet tall.
Recreational maths with 138474023734009215
- 138474023734009215 backwards is 512900437320474831
- 138474023734009215 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138474023734009215's digits is 63
- More coming soon!
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"Number 138474023734009215 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138474023734009215 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138474023734009215/
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The information we have on file for 138474023734009215 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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