138381295752
138,381,295,752 is an even composite number composed of six prime numbers multiplied together.
138381295752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138381295752:
23 × 33 × 7 × 61 × 317 × 4733
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 61 × 317 × 4733)See below for interesting mathematical facts about the number 138381295752 from the Numbermatics database.
Names of 138381295752
- Cardinal: 138381295752 can be written as One hundred thirty-eight billion, three hundred eighty-one million, two hundred ninety-five thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38381295752 × 1011
Factors of 138381295752
Divisors of 138381295752
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 317 366 378 427 488 504 549 634 732 756 854 951 1098 1268 1281 1464 1512 1647 1708 1902 2196 2219 2536 2562 2853 3294 3416 3804 3843 4392 4438 4733 5124 5706 6588 6657 7608 7686 8559 8876 9466 10248 11412 11529 13176 13314 14199 15372 17118 17752 18932 19337 19971 22824 23058 26628 28398 30744 33131 34236 37864 38674 39942 42597 46116 53256 56796 58011 59913 66262 68472 77348 79884 85194 92232 99393 113592 116022 119826 127791 132524 135359 154696 159768 170388 174033 198786 232044 239652 255582 265048 270718 288713 298179 340776 348066 397572 406077 464088 479304 511164 522099 541436 577426 596358 696132 795144 812154 866139 894537 1022328 1044198 1082872 1154852 1192716 1218231 1392264 1500361 1624308 1732278 1789074 2020991 2088396 2309704 2385432 2436462 2598417 3000722 3248616 3464556 3578148 3654693 4041982 4176792 4501083 4872924 5196834 6001444 6062973 6929112 7156296 7309386 7795251 8083964 9002166 9745848 10393668 10502527 12002888 12125946 13503249 14618772 15590502 16167928 18004332 18188919 20787336 21005054 24251892 27006498 29237544 31181004 31507581 36008664 36377838 40509747 42010108 48503784 54012996 54566757 62362008 63015162 72755676 81019494 84020216 91522021 94522743 108025992 109133514 126030324 145511352 162038988 183044042 189045486 218267028 252060648 274566063 283568229 324077976 366088084 378090972 436534056 549132126 567136458 640654147 732176168 756181944 823698189 1098264252 1134272916 1281308294 1647396378 1921962441 2196528504 2268545832 2471094567 2562616588 3294792756 3843924882 4942189134 5125233176 5765887323 6589585512 7687849764 9884378268 11531774646 15375699528 17297661969 19768756536 23063549292 34595323938 46127098584 69190647876 138381295752
- Sum of all divisors σ(n): 448010611200
- Sum of proper divisors (its aliquot sum) s(n): 309629315448
- 138381295752 is an abundant number, because the sum of its proper divisors (309629315448) is greater than itself. Its abundance is 171248019696
Bases of 138381295752
- Binary: 100000001110000010101100000000100010002
- Hexadecimal: 0x20382B0088
- Base-36: 1RKKNF60
Squares and roots of 138381295752
- 138381295752 squared (1383812957522) is 19149383014002493245504
- 138381295752 cubed (1383812957523) is 2649916434329004175071471368299008
-
The
square root of 138381295752 is 371996.3652403071 -
The
cube root of 138381295752 is 5172.4043024581
Scales and comparisons
How big is 138381295752?- 138,381,295,752 seconds is equal to 4,400 years, 5 weeks, 8 hours, 49 minutes, 12 seconds.
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To count from 1 to 138,381,295,752 would take you about eight thousand, eight hundred 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 138381295752 cubic inches would be around 431 feet tall.
Recreational maths with 138381295752
- 138381295752 backwards is 257592183831
- 138381295752 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138381295752's digits is 54
- More coming soon!
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