138438217113768
138,438,217,113,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138438217113768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
138438217113768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138438217113768:
23 × 36 × 113 × 13 × 172 × 47 × 101
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 17 × 17 × 47 × 101)See below for interesting mathematical facts about the number 138438217113768 from the Numbermatics database.
Names of 138438217113768
- Cardinal: 138438217113768 can be written as One hundred thirty-eight trillion, four hundred thirty-eight billion, two hundred seventeen million, one hundred thirteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38438217113768 × 1014
Factors of 138438217113768
Divisors of 138438217113768
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 17 18 22 24 26 27 33 34 36 39 44 47 51 52 54 66 68 72 78 81 88 94 99 101 102 104 108 117 121 132 136 141 143 153 156 162 187 188 198 202 204 216 221 234 242 243 264 282 286 289 297 303 306 312 324 351 363 374 376 396 404 408 423 429 442 459 468 484 486 517 561 564 572 578 594 606 611 612 648 663 702 726 729 748 792 799 808 846 858 867 884 891 909 918 936 968 972 1034 1053 1089 1111 1122 1128 1144 1156 1188 1212 1222 1224 1269 1287 1313 1326 1331 1377 1404 1452 1458 1496 1551 1573 1598 1683 1692 1716 1717 1734 1768 1782 1818 1833 1836 1944 1989 2057 2068 2106 2178 2222 2244 2312 2376 2397 2424 2431 2444 2538 2574 2601 2626 2652 2662 2673 2727 2754 2808 2904 2916 3102 3146 3159 3179 3196 3267 3333 3366 3384 3432 3434 3468 3564 3636 3666 3672 3757 3807 3861 3939 3978 3993 4114 4131 4136 4212 4356 4444 4488 4653 4719 4747 4794 4862 4888 5049 5076 5148 5151 5202 5252 5304 5324 5346 5454 5499 5508 5687 5832 5967 6171 6204 6292 6318 6358 6392 6534 6666 6721 6732 6868 6936 7128 7191 7272 7293 7332 7514 7614 7722 7803 7878 7956 7986 8019 8181 8228 8262 8424 8712 8789 8888 9306 9438 9477 9494 9537 9588 9724 9801 9999 10098 10152 10296 10302 10387 10404 10504 10648 10692 10908 10998 11016 11271 11374 11421 11583 11817 11934 11979 12221 12342 12393 12408 12584 12636 12716 13068 13332 13442 13464 13583 13736 13959 14157 14241 14382 14443 14586 14664 15028 15147 15228 15444 15453 15606 15756 15912 15972 16038 16362 16456 16497 16524 17061 17303 17578 17901 18513 18612 18876 18887 18954 18988 19074 19176 19448 19602 19998 20163 20196 20604 20774 20808 21384 21573 21816 21879 21996 22321 22542 22627 22748 22842 23166 23409 23634 23868 23958 24442 24543 24684 24786 25272 25432 26136 26367 26664 26741 26884 27166 27918 28314 28482 28611 28764 28886 29172 29189 29403 29997 30056 30294 30456 30888 30906 31161 31212 31512 31944 32076 32724 32994 33048 33813 34122 34263 34606 34749 34969 35156 35451 35802 35937 36663 37026 37224 37752 37774 37908 37976 38148 39204 39996 40326 40392 40749 41208 41327 41548 41877 42471 42723 43146 43329 43758 43992 44642 45084 45254 45441 45496 45684 46332 46359 46818 47268 47736 47916 48884 49086 49368 49491 49572 51183 51909 52217 52734 53482 53703 53768 54332 55539 55836 56628 56661 56964 57222 57528 57772 58344 58378 58806 59994 60489 60588 61711 61812 62322 62424 62557 64152 64719 65448 65637 65988 66963 67626 67881 68244 68526 69212 69498 69938 70227 70312 70902 71604 71874 73326 73629 73931 74052 75548 75816 76296 78408 79101 79992 80223 80652 80699 81498 82654 83096 83754 84942 85446 85833 86292 86658 87516 87567 88209 89284 89991 90168 90508 90882 91368 92664 92718 93483 93636 94536 95832 96679 97768 98172 98982 99144 101439 102366 103818 104247 104434 104907 105468 106353 106964 107406 107811 108664 109989 111078 111672 113256 113322 113928 114257 114444 115544 116756 117612 119988 120978 121176 122247 123422 123624 123981 124644 125114 125631 127413 128169 129438 129987 131274 131976 133926 134431 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284852298588 286029374202 295808156226 301608316152 313208636004 322699806792 327277109016 339309355671 342668854242 349591457358 368186747643 370155660732 381372498936 394410874968 427278447882 443712234339 452412474228 456891805656 466121943144 479024972712 484049710188 490915663524 524387186037 569704597176 572058748404 591616312452 626417272008 640917671823 678618711342 685337708484 699182914716 736373495286 740311321464 854556895764 887424468678 904824948456 968099420376 981831327048 1017928067013 1048774372074 1144117496808 1183232624904 1281835343646 1331136703017 1357237422684 1370675416968 1398365829432 1472746990572 1573161558111 1709113791528 1774848937356 1922753015469 2035856134026 2097548744148 2563670687292 2662273406034 2714474845368 2945493981144 3146323116222 3549697874712 3845506030938 4071712268052 4195097488296 5127341374584 5324546812068 5768259046407 6292646232444 7691012061876 8143424536104 10649093624136 11536518092814 12585292464888 15382024123752 17304777139221 23073036185628 34609554278442 46146072371256 69219108556884 138438217113768
- Sum of all divisors σ(n): 505080170058240
- Sum of proper divisors (its aliquot sum) s(n): 366641952944472
- 138438217113768 is an abundant number, because the sum of its proper divisors (366641952944472) is greater than itself. Its abundance is 228203735830704
Bases of 138438217113768
- Binary: 111110111101000101010001100000100100000101010002
- Hexadecimal: 0x7DE8A8C120A8
- Base-36: 1D2LN03MI0
Squares and roots of 138438217113768
- 138438217113768 squared (1384382171137682) is 19165139957638767156255157824
- 138438217113768 cubed (1384382171137683) is 2653187806471346097890771708040996603320832
-
The
square root of 138438217113768 is 11765977.0998318707 -
The
cube root of 138438217113768 is 51731.1340584621
Scales and comparisons
How big is 138438217113768?- 138,438,217,113,768 seconds is equal to 4,401,907 years, 4 weeks, 3 days, 13 hours, 22 minutes, 48 seconds.
-
To count from 1 to 138,438,217,113,768 would take you about eleven million, four thousand, seven hundred sixty-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 138438217113768 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138438217113768
- 138438217113768 backwards is 867311712834831
- The number of decimal digits it has is: 15
- The sum of 138438217113768's digits is 63
- More coming soon!
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Cite this page
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"Number 138438217113768 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138438217113768 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138438217113768/
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The information we have on file for 138438217113768 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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