10138978168704
10,138,978,168,704 is an even composite number composed of eight prime numbers multiplied together.
10138978168704 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 10138978168704:
27 × 34 × 7 × 11 × 17 × 37 × 61 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 17 × 37 × 61 × 331)See below for interesting mathematical facts about the number 10138978168704 from the Numbermatics database.
Names of 10138978168704
- Cardinal: 10138978168704 can be written as Ten trillion, one hundred thirty-eight billion, nine hundred seventy-eight million, one hundred sixty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.0138978168704 × 1013
Factors of 10138978168704
Divisors of 10138978168704
- Number of divisors d(n): 2560
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 37 42 44 48 51 54 56 61 63 64 66 68 72 74 77 81 84 88 96 99 102 108 111 112 119 122 126 128 132 136 144 148 153 154 162 168 176 183 187 189 192 198 204 216 222 224 231 238 244 252 259 264 272 288 296 297 306 308 324 331 333 336 352 357 366 374 378 384 396 407 408 427 432 444 448 459 462 476 488 504 518 528 544 549 561 567 576 592 594 612 616 629 648 662 666 671 672 693 704 714 732 748 756 777 792 814 816 854 864 888 891 896 918 924 952 976 993 999 1008 1036 1037 1056 1071 1088 1098 1122 1134 1152 1184 1188 1221 1224 1232 1258 1281 1296 1309 1324 1332 1342 1344 1377 1386 1408 1428 1464 1496 1512 1554 1584 1628 1632 1647 1683 1708 1728 1776 1782 1836 1848 1887 1904 1952 1986 1998 2013 2016 2072 2074 2079 2112 2142 2176 2196 2244 2257 2268 2317 2331 2368 2376 2442 2448 2464 2516 2562 2592 2618 2648 2664 2684 2688 2754 2772 2849 2856 2928 2979 2992 2997 3024 3108 3111 3168 3213 3256 3264 3294 3366 3416 3456 3552 3564 3641 3663 3672 3696 3774 3808 3843 3904 3927 3972 3996 4026 4032 4144 4148 4158 4224 4284 4392 4403 4488 4514 4536 4634 4662 4697 4736 4752 4884 4896 4928 4941 5032 5049 5124 5184 5236 5296 5328 5368 5508 5544 5627 5661 5698 5712 5856 5958 5984 5994 6039 6048 6216 6222 6237 6336 6426 6512 6528 6588 6732 6771 6832 6919 6951 6993 7104 7128 7259 7282 7326 7344 7392 7548 7616 7686 7808 7854 7944 7992 8052 8064 8288 8296 8316 8547 8568 8784 8806 8937 8976 9028 9072 9268 9324 9333 9394 9504 9639 9768 9792 9856 9882 10064 10098 10248 10368 10472 10592 10656 10736 10923 10989 11016 11088 11254 11322 11396 11407 11424 11529 11712 11781 11916 11968 11988 12078 12096 12247 12432 12444 12474 12672 12852 13024 13176 13209 13464 13542 13664 13838 13902 13986 14091 14208 14256 14518 14564 14652 14688 14784 15096 15147 15232 15372 15708 15799 15888 15984 16104 16576 16592 16632 16881 16983 17094 17136 17568 17612 17874 17952 18056 18117 18144 18536 18648 18666 18788 19008 19278 19536 19584 19764 20128 20191 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125172569984 131675041152 137013218496 140819141232 149102620128 153620881344 158421533886 160936161408 166212756864 181053181584 187758854976 198803493504 211228711848 230431322016 241404242112 274026436992 281638282464 298205240256 307241762688 316843067772 362106363168 375517709952 422457423696 460862644032 482808484224 563276564928 596410480512 633686135544 724212726336 844914847392 921725288064 1126553129856 1267372271088 1448425452672 1689829694784 2534744542176 3379659389568 5069489084352 10138978168704
- Sum of all divisors σ(n): 41704475028480
- Sum of proper divisors (its aliquot sum) s(n): 31565496859776
- 10138978168704 is an abundant number, because the sum of its proper divisors (31565496859776) is greater than itself. Its abundance is 21426518691072
Bases of 10138978168704
- Binary: 100100111000101010100011000100101111100000002
- Hexadecimal: 0x938AA312F80
- Base-36: 3LDS5TK00
Squares and roots of 10138978168704
- 10138978168704 squared (101389781687042) is 102798878305456317485039616
- 10138978168704 cubed (101389781687043) is 1042275582906280848585534580748571377664
-
The
square root of 10138978168704 is 3184176.2150835811 -
The
cube root of 10138978168704 is 21643.6945361173
Scales and comparisons
How big is 10138978168704?- 10,138,978,168,704 seconds is equal to 322,388 years, 7 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
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To count from 1 to 10,138,978,168,704 would take you about eight hundred five thousand, nine hundred seventy 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 10138978168704 cubic inches would be around 1803.6 feet tall.
Recreational maths with 10138978168704
- 10138978168704 backwards is 40786187983101
- 10138978168704 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10138978168704's digits is 63
- More coming soon!
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The information we have on file for 10138978168704 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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