138353137776
138,353,137,776 is an even composite number composed of six prime numbers multiplied together.
138353137776 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138353137776:
24 × 33 × 72 × 43 × 97 × 1567
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 43 × 97 × 1567)See below for interesting mathematical facts about the number 138353137776 from the Numbermatics database.
Names of 138353137776
- Cardinal: 138353137776 can be written as One hundred thirty-eight billion, three hundred fifty-three million, one hundred thirty-seven thousand, seven hundred seventy-six.
Scientific notation
- Scientific notation: 1.38353137776 × 1011
Factors of 138353137776
Divisors of 138353137776
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 49 54 56 63 72 84 86 97 98 108 112 126 129 144 147 168 172 189 194 196 216 252 258 291 294 301 336 344 378 387 388 392 432 441 504 516 582 588 602 679 688 756 774 776 784 873 882 903 1008 1032 1161 1164 1176 1204 1323 1358 1512 1548 1552 1567 1746 1764 1806 2037 2064 2107 2322 2328 2352 2408 2619 2646 2709 2716 3024 3096 3134 3492 3528 3612 4074 4171 4214 4644 4656 4701 4753 4816 5238 5292 5418 5432 6111 6192 6268 6321 6984 7056 7224 8127 8148 8342 8428 9288 9402 9506 10476 10584 10836 10864 10969 12222 12513 12536 12642 13968 14103 14259 14448 16254 16296 16684 16856 18333 18576 18804 18963 19012 20952 21168 21672 21938 24444 25026 25072 25284 28206 28518 29197 32508 32592 32907 33368 33712 36666 37539 37608 37926 38024 41904 42309 42777 43344 43876 48888 50052 50568 56412 56889 57036 58394 65016 65814 66736 67381 73332 75078 75216 75852 76048 76783 84618 85554 87591 87752 97776 98721 100104 101136 112617 112824 113778 114072 116788 128331 130032 131628 134762 146664 150156 151704 151999 153566 169236 171108 175182 175504 197442 200208 202143 204379 225234 225648 227556 228144 230349 233576 256662 262773 263256 269524 293328 296163 300312 303408 303998 307132 338472 342216 350364 394884 404286 408758 450468 455112 455997 460698 467152 471667 513324 525546 526512 539048 592326 600624 606429 607996 613137 614264 676944 684432 691047 700728 788319 789768 808572 817516 900936 910224 911994 921396 943334 1026648 1051092 1063993 1078096 1184652 1212858 1215992 1226274 1228528 1367991 1382094 1401456 1415001 1576638 1579536 1617144 1635032 1801872 1819287 1823988 1839411 1842792 1886668 2053296 2073141 2102184 2127986 2369304 2425716 2431984 2452548 2735982 2764188 2830002 3153276 3191979 3234288 3270064 3301669 3638574 3647976 3678822 3685584 3773336 4103973 4146282 4204368 4245003 4255972 4738608 4851432 4905096 5471964 5518233 5528376 5660004 6306552 6383958 6535957 6603338 7277148 7295952 7357644 7447951 7546672 8207946 8292564 8490006 8511944 9575937 9702864 9810192 9905007 10943928 11036466 11056752 11320008 12613104 12735009 12767916 13071914 13206676 14554296 14715288 14895902 16415892 16585128 16980012 17023888 19151874 19607871 19810014 21887856 22072932 22343853 22640016 25470018 25535832 26143828 26413352 28727811 29108592 29430576 29715021 29791804 32831784 33170256 33960024 38303748 39215742 39620028 44145864 44687706 45751699 50940036 51071664 52287656 52826704 57455622 58823613 59430042 59583608 65663568 67031559 67920048 76607496 78431484 79240056 88291728 89145063 89375412 91503398 101880072 104575312 114911244 117647226 118860084 119167216 134063118 137255097 153214992 156862968 158480112 176470839 178290126 178750824 183006796 201094677 203760144 229822488 235294452 237720168 268126236 274510194 313725936 320261893 352941678 356580252 357501648 366013592 402189354 411765291 459644976 470588904 475440336 536252472 549020388 640523786 705883356 713160504 732027184 804378708 823530582 941177808 960785679 1072504944 1098040776 1235295873 1281047572 1411766712 1426321008 1608757416 1647061164 1921571358 2196081552 2470591746 2562095144 2823533424 2882357037 3217514832 3294122328 3843142716 4941183492 5124190288 5764714074 6588244656 7686285432 8647071111 9882366984 11529428148 15372570864 17294142222 19764733968 23058856296 34588284444 46117712592 69176568888 138353137776
- Sum of all divisors σ(n): 477882746880
- Sum of proper divisors (its aliquot sum) s(n): 339529609104
- 138353137776 is an abundant number, because the sum of its proper divisors (339529609104) is greater than itself. Its abundance is 201176471328
Bases of 138353137776
- Binary: 100000001101100111110101011000011100002
- Hexadecimal: 0x20367D5870
- Base-36: 1RK3VWC0
Squares and roots of 138353137776
- 138353137776 squared (1383531377762) is 19141590732464838226176
- 138353137776 cubed (1383531377763) is 2648299139860512519181679577624576
-
The
square root of 138353137776 is 371958.5162030841 -
The
cube root of 138353137776 is 5172.0534498489
Scales and comparisons
How big is 138353137776?- 138,353,137,776 seconds is equal to 4,399 years, 10 weeks, 3 days, 11 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,353,137,776 would take you about eight thousand, seven hundred ninety-eight 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 138353137776 cubic inches would be around 431 feet tall.
Recreational maths with 138353137776
- 138353137776 backwards is 677731353831
- 138353137776 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138353137776's digits is 54
- More coming soon!
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