10142338401216
10,142,338,401,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 10142338401216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
10142338401216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 10142338401216:
26 × 37 × 73 × 173 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 43)See below for interesting mathematical facts about the number 10142338401216 from the Numbermatics database.
Names of 10142338401216
- Cardinal: 10142338401216 can be written as Ten trillion, one hundred forty-two billion, three hundred thirty-eight million, four hundred one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.0142338401216 × 1013
Factors of 10142338401216
Divisors of 10142338401216
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 43 48 49 51 54 56 63 64 68 72 81 84 86 96 98 102 108 112 119 126 129 136 144 147 153 162 168 172 189 192 196 204 216 224 238 243 252 258 272 288 289 294 301 306 324 336 343 344 357 378 387 392 408 432 441 448 459 476 486 504 516 544 567 576 578 588 602 612 648 672 686 688 714 729 731 756 774 784 816 833 864 867 882 903 918 952 972 1008 1029 1032 1071 1088 1134 1156 1161 1176 1204 1224 1296 1323 1344 1372 1376 1377 1428 1458 1462 1512 1548 1568 1632 1666 1701 1728 1734 1764 1806 1836 1904 1944 2016 2023 2058 2064 2107 2142 2187 2193 2268 2312 2322 2352 2408 2448 2499 2592 2601 2646 2709 2744 2752 2754 2856 2916 2924 3024 3087 3096 3136 3213 3264 3332 3402 3468 3483 3528 3612 3672 3808 3888 3969 4032 4046 4116 4128 4131 4214 4284 4374 4386 4536 4624 4644 4704 4816 4896 4913 4998 5103 5117 5184 5202 5292 5418 5488 5508 5712 5831 5832 5848 6048 6069 6174 6192 6321 6426 6579 6664 6804 6936 6966 7056 7224 7344 7497 7616 7776 7803 7938 8092 8127 8232 8256 8262 8428 8568 8748 8772 9072 9248 9261 9288 9408 9632 9639 9792 9826 9996 10206 10234 10404 10449 10584 10836 10976 11016 11424 11662 11664 11696 11907 12096 12138 12348 12384 12393 12427 12642 12852 13158 13328 13608 13872 13932 14112 14161 14448 14688 14739 14749 14994 15309 15351 15552 15606 15876 16184 16254 16464 16524 16856 17136 17493 17496 17544 18144 18207 18496 18522 18576 18963 19264 19278 19652 19737 19992 20412 20468 20808 20898 21168 21672 21952 22032 22491 22848 23324 23328 23392 23409 23814 24276 24381 24696 24768 24786 24854 25284 25704 26316 26656 27216 27744 27783 27864 28224 28322 28896 28917 29376 29478 29498 29988 30618 30702 31212 31347 31752 32368 32508 32928 33048 33712 34272 34391 34986 34992 35088 35721 35819 36288 36414 37044 37152 37179 37281 37926 38556 39304 39474 39984 40824 40936 41616 41796 42336 42483 43344 44064 44217 44247 44982 46053 46648 46656 46784 46818 47628 48552 48762 49392 49572 49708 50568 51408 52479 52632 53312 54432 54621 55488 55566 55728 56644 56889 57792 57834 58956 58996 59211 59976 61236 61404 62424 62694 63504 64736 65016 65856 66096 67424 67473 68544 68782 69972 69984 70176 70227 71442 71638 72828 73143 74088 74304 74358 74562 75852 77112 78608 78948 79968 81648 81872 83232 83349 83592 84672 84966 86688 86751 86989 88128 88434 88494 89964 92106 93296 93636 94041 95256 97104 97524 98784 99127 99144 99416 101136 102816 103173 104958 105264 107163 107457 108864 109242 111132 111456 111843 113288 113778 115668 117912 117992 118422 119952 122472 122808 124848 125388 127008 127449 129472 130032 132192 132651 132741 134848 134946 137564 138159 139944 139968 140352 140454 142884 143276 145656 146286 148176 148716 149124 151704 154224 157216 157437 157896 159936 163296 163744 163863 166464 166698 167184 169932 170667 173376 173502 173978 176868 176988 177633 179928 184212 186592 187272 188082 190512 194208 195048 197568 198254 198288 198832 202272 202419 205632 206346 209916 210528 210681 211259 214326 214914 218484 219429 222264 222912 223686 226576 227556 231336 235824 235984 236844 239904 240737 244944 245616 249696 250047 250733 250776 254016 254898 260064 260253 260967 264384 265302 265482 269892 275128 276318 279888 280908 285768 286552 291312 292572 296352 297381 297432 298248 303408 308448 309519 314432 314874 315792 322371 326592 327488 327726 333396 334368 335529 339864 341334 347004 347956 353736 353976 355266 359856 368424 373184 374544 376164 381024 382347 388416 390096 396508 396576 397664 397953 398223 404544 404838 412692 414477 419832 421056 421362 422518 428652 429828 436968 438858 444528 447372 453152 455112 462672 471648 471968 472311 473688 479808 481474 489888 491232 491589 499392 500094 501466 501552 509796 512001 520128 520506 521934 530604 530964 532899 539784 550256 552636 559776 561816 571536 573104 582624 585144 592704 594762 594864 596496 606816 607257 608923 616896 619038 629748 631584 632043 633777 644742 655452 658287 666792 668736 671058 679728 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10061843652 10434504528 10653716808 11048298912 11231825472 11499249888 11698198848 11738817594 12175676352 12429336276 12936656124 13103796384 13415791536 13874607936 13912672704 14204955744 14741770932 14784749856 15092765478 15651756792 16572448368 16847738208 17248874832 17547298272 17608226391 17887722048 18644004414 19655694576 20123687304 20869009056 21307433616 22096597824 22639148217 22998499776 23477635188 24858672552 25873312248 26207592768 26831583072 28409911488 29483541864 29569499712 30185530956 31303513584 33144896736 33695476416 34497749664 35094596544 35216452782 37288008828 39311389152 40247374608 41738018112 42614867232 45278296434 46955270376 49717345104 51746624496 52824679173 53663166144 58967083728 60371061912 62607027168 66289793472 68995499328 70432905564 74576017656 78622778304 80494749216 85229734464 90556592868 93910540752 99434690208 103493248992 105649358346 117934167456 120742123824 125214054336 140865811128 149152035312 158474037519 160989498432 181113185736 187821081504 198869380416 206986497984 211298716692 235868334912 241484247648 281731622256 298304070624 316948075038 362226371472 375642163008 422597433384 482968495296 563463244512 596608141248 633896150076 724452742944 845194866768 1126926489024 1267792300152 1448905485888 1690389733536 2535584600304 3380779467072 5071169200608 10142338401216
- Sum of all divisors σ(n): 38270200320000
- Sum of proper divisors (its aliquot sum) s(n): 28127861918784
- 10142338401216 is an abundant number, because the sum of its proper divisors (28127861918784) is greater than itself. Its abundance is 17985523517568
Bases of 10142338401216
- Binary: 100100111001011100100111101001000011110000002
- Hexadecimal: 0x939727A43C0
- Base-36: 3LFBQF000
Squares and roots of 10142338401216
- 10142338401216 squared (101423384012162) is 102867028244780726990278656
- 10142338401216 cubed (101423384012163) is 1043312210786010473279073003469369245696
-
The
square root of 10142338401216 is 3184703.8168746557 -
The
cube root of 10142338401216 is 21646.0853034415
Scales and comparisons
How big is 10142338401216?- 10,142,338,401,216 seconds is equal to 322,494 years, 51 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 10,142,338,401,216 would take you about eight hundred six thousand, two hundred thirty-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 10142338401216 cubic inches would be around 1803.8 feet tall.
Recreational maths with 10142338401216
- 10142338401216 backwards is 61210483324101
- 10142338401216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10142338401216's digits is 36
- More coming soon!
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"Number 10142338401216 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 10142338401216 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/10142338401216/
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The information we have on file for 10142338401216 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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