38146390764768
38,146,390,764,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38146390764768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
38146390764768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 38146390764768:
25 × 33 × 112 × 13 × 173 × 29 × 197
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 17 × 17 × 17 × 29 × 197)See below for interesting mathematical facts about the number 38146390764768 from the Numbermatics database.
Names of 38146390764768
- Cardinal: 38146390764768 can be written as Thirty-eight trillion, one hundred forty-six billion, three hundred ninety million, seven hundred sixty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.8146390764768 × 1013
Factors of 38146390764768
Divisors of 38146390764768
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 29 32 33 34 36 39 44 48 51 52 54 58 66 68 72 78 87 88 96 99 102 104 108 116 117 121 132 136 143 144 153 156 174 176 187 197 198 204 208 216 221 232 234 242 261 264 272 286 288 289 297 306 312 319 348 351 352 363 374 377 394 396 408 416 429 432 442 459 464 468 484 493 522 528 544 561 572 578 591 594 612 624 638 663 696 702 726 748 754 783 788 792 816 858 864 867 884 918 928 936 957 968 986 1044 1056 1089 1122 1131 1144 1156 1182 1188 1224 1248 1276 1287 1326 1392 1404 1452 1479 1496 1508 1566 1573 1576 1584 1632 1683 1716 1734 1768 1773 1836 1872 1914 1936 1972 1989 2057 2088 2167 2178 2244 2262 2288 2312 2364 2376 2431 2448 2552 2561 2574 2601 2652 2784 2808 2871 2904 2958 2992 3016 3132 3146 3152 3168 3179 3267 3349 3366 3393 3432 3468 3509 3536 3546 3672 3744 3757 3828 3861 3872 3944 3978 4114 4147 4176 4334 4356 4437 4488 4524 4576 4624 4719 4728 4752 4862 4896 4913 5049 5104 5122 5148 5202 5304 5319 5423 5616 5713 5742 5808 5916 5967 5984 6032 6171 6264 6292 6304 6358 6409 6501 6534 6698 6732 6786 6864 6936 7018 7072 7092 7293 7344 7514 7656 7683 7722 7803 7888 7956 8228 8294 8352 8381 8613 8668 8712 8874 8976 9048 9248 9438 9456 9504 9537 9724 9826 10047 10098 10179 10208 10244 10296 10404 10527 10608 10638 10846 11232 11271 11426 11484 11616 11832 11934 12064 12342 12441 12528 12584 12716 12818 13002 13068 13311 13396 13464 13572 13728 13872 14036 14157 14184 14586 14688 14739 15028 15312 15366 15444 15606 15776 15912 16269 16456 16588 16762 17139 17226 17336 17424 17748 17952 18096 18513 18876 18912 19074 19227 19448 19503 19652 20094 20196 20358 20488 20592 20808 21054 21216 21276 21692 21879 22542 22852 22968 23049 23664 23837 23868 24684 24882 25056 25143 25168 25432 25636 26004 26136 26622 26741 26792 26928 27144 27744 28072 28171 28314 28368 28611 29172 29478 30056 30141 30624 30732 30888 31212 31581 31824 32538 32912 33176 33524 33813 34278 34452 34672 34848 34969 35496 36192 36839 37026 37323 37752 38148 38454 38896 39006 39304 40188 40392 40716 40976 41184 41327 41616 42108 42471 42552 43384 43537 43758 44217 45084 45617 45704 45936 46098 47328 47674 47736 48807 49368 49764 50286 50336 50864 51272 51417 52008 52272 53244 53482 53584 53856 54043 54288 55539 56144 56342 56628 56736 56933 57222 57681 58344 58509 58956 59653 60112 60282 61464 61776 62424 62843 63162 63648 63869 65076 65637 65824 66352 67048 67626 68556 68904 69147 69344 69938 70499 70992 71511 73678 74052 74269 74646 75429 75504 76296 76908 77792 78012 78608 80223 80376 80784 81432 81952 82654 83232 84216 84513 84942 85104 85833 86768 87074 87516 88434 90168 90423 91234 91408 91872 92191 92196 94743 95348 95472 97121 97614 98736 99528 100572 101439 101728 102544 102834 104016 104544 104907 106488 106964 107168 108086 108576 108953 110517 111078 111969 112288 112684 113256 113866 114444 115362 116688 117018 117912 119306 120224 120564 122928 123552 123981 124848 125686 126324 127738 130152 130611 131274 132651 132704 134096 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15582675966 15691645728 16054878268 16136375112 16499303964 16672373586 16864010064 16999282872 17514412656 17603318304 18269344236 18544672224 19178678112 19344011544 19703714238 19930193712 20377345494 20776901288 21515166816 21576012876 21999071952 22229831448 22665710496 23374013949 24082317402 24204562668 24250725216 24359125648 25296015096 25498924308 25792015392 26271618984 27169793992 27404016354 28768017168 29639775264 29895290568 30566018241 31165351932 32109756536 32272750224 32998607928 33344747172 33728020128 33998565744 35028825312 36123476103 36538688472 38688023088 39407428476 39860387424 40754690988 41106024531 41553802576 43152025752 43998143904 44150915237 44459662896 46748027898 48164634804 48409125336 48718251296 50592030192 50997848616 52543237968 54339587984 54808032708 57536034336 59790581136 61132036482 62330703864 64219513072 64545500448 65997215856 66689494344 67997131488 70122041847 72246952206 73077376944 77376046176 78814856952 81509381976 82212049062 83107605152 86304051504 88301830474 88919325792 91698054723 93496055796 96329269608 96818250672 101184060384 101995697232 105086475936 108370428309 108679175968 109616065416 119581162272 122264072964 124661407728 128439026144 131994431712 132452745711 133378988688 140244083694 144493904412 146154753888 157629713904 163018763952 164424098124 172608103008 176603660948 183396109446 186992111592 192658539216 193636501344 203991394464 216740856618 219232130832 244528145928 249322815456 264905491422 266757977376 280488167388 288987808824 315259427808 326037527904 328848196248 353207321896 366792218892 373984223184 385317078432 397358237133 433481713236 438464261664 489056291856 529810982844 560976334776 577975617648 657696392496 706414643792 733584437784 747968446368 794716474266 866963426472 978112583712 1059621965688 1121952669552 1155951235296 1192074711399 1315392784992 1412829287584 1467168875568 1589432948532 1733926852944 2119243931376 2243905339104 2384149422798 2934337751136 3178865897064 3467853705888 4238487862752 4768298845596 6357731794128 9536597691192 12715463588256 19073195382384 38146390764768
- Sum of all divisors σ(n): 145491347232000
- Sum of proper divisors (its aliquot sum) s(n): 107344956467232
- 38146390764768 is an abundant number, because the sum of its proper divisors (107344956467232) is greater than itself. Its abundance is 69198565702464
Bases of 38146390764768
- Binary: 10001010110001101001100001001000101100111000002
- Hexadecimal: 0x22B1A6122CE0
- Base-36: DIS7K5FC0
Squares and roots of 38146390764768
- 38146390764768 squared (381463907647682) is 1455147128378377359910093824
- 38146390764768 cubed (381463907647683) is 55508610979351609413975700730617993592832
-
The
square root of 38146390764768 is 6176276.4482144093 -
The
cube root of 38146390764768 is 33662.8708662475
Scales and comparisons
How big is 38146390764768?- 38,146,390,764,768 seconds is equal to 1,212,937 years, 12 weeks, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 38,146,390,764,768 would take you about three million, thirty-two thousand, three hundred forty-three 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 38146390764768 cubic inches would be around 2805.2 feet tall.
Recreational maths with 38146390764768
- 38146390764768 backwards is 86746709364183
- 38146390764768 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38146390764768's digits is 72
- More coming soon!
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The information we have on file for 38146390764768 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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