138337766424
138,337,766,424 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138337766424 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138337766424 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138337766424:
23 × 32 × 11 × 13 × 17 × 37 × 41 × 521
(2 × 2 × 2 × 3 × 3 × 11 × 13 × 17 × 37 × 41 × 521)See below for interesting mathematical facts about the number 138337766424 from the Numbermatics database.
Names of 138337766424
- Cardinal: 138337766424 can be written as One hundred thirty-eight billion, three hundred thirty-seven million, seven hundred sixty-six thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38337766424 × 1011
Factors of 138337766424
Divisors of 138337766424
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 17 18 22 24 26 33 34 36 37 39 41 44 51 52 66 68 72 74 78 82 88 99 102 104 111 117 123 132 136 143 148 153 156 164 187 198 204 221 222 234 246 264 286 296 306 312 328 333 369 374 396 407 408 429 442 444 451 468 481 492 521 533 561 572 612 629 663 666 697 738 748 792 814 858 884 888 902 936 962 984 1042 1066 1122 1144 1221 1224 1258 1287 1326 1332 1353 1394 1443 1476 1496 1517 1563 1599 1628 1683 1716 1768 1804 1887 1924 1989 2084 2091 2132 2244 2431 2442 2516 2574 2652 2664 2706 2788 2886 2952 3034 3126 3198 3256 3366 3432 3608 3663 3774 3848 3978 4059 4168 4182 4264 4329 4488 4551 4689 4797 4862 4884 5032 5148 5291 5304 5412 5576 5661 5731 5772 5863 6068 6252 6273 6396 6732 6773 6919 7293 7326 7548 7667 7956 8118 8177 8364 8658 8857 9061 9102 9378 9594 9724 9768 10296 10582 10824 11322 11462 11544 11726 12136 12504 12546 12792 13464 13546 13653 13838 14586 14652 15096 15334 15873 15912 16236 16354 16687 16728 17193 17316 17589 17714 18122 18204 18756 19188 19277 19448 19721 20319 20757 21164 21361 21879 22644 22924 23001 23452 24531 25092 25789 26571 27092 27183 27306 27676 29172 29304 30668 31746 32472 32708 33374 34386 34632 35178 35428 36244 36408 37512 38376 38554 39442 40638 41514 42328 42722 43758 45288 45848 46002 46904 47619 49062 50061 50184 51578 51579 52767 53142 54184 54366 54612 55352 57831 58344 59163 60957 61336 62271 63492 64083 65416 66748 68772 69003 70356 70856 72488 73593 74503 77108 77367 78884 79713 81276 81549 83028 85444 87516 89947 92004 95238 97427 98124 99671 100122 103156 103158 105534 106284 108732 109224 115141 115662 118326 121914 124542 126984 128166 133496 137544 138006 140712 147186 149006 150183 154216 154734 157768 159426 162552 163098 166056 170888 173493 175032 177489 179894 184008 190476 192249 194854 196248 199342 200244 206312 206316 211068 212047 212568 216931 217464 223509 230282 231324 232101 234971 236652 243828 249084 250601 256332 269841 276012 277693 283679 292281 294372 298012 299013 300366 309468 318852 326196 327709 335257 345423 346986 354978 359788 363137 380952 384498 389708 398684 400488 412632 422136 424094 433862 447018 460564 462648 464202 469942 473304 487656 498168 501202 512664 539682 552024 555386 567358 584562 588744 596024 598026 600732 618936 636141 637704 650793 652392 655418 670514 670527 690846 693972 704913 709956 719576 726274 751803 768996 779416 790357 797368 809523 833079 848188 851037 867724 876843 894036 897039 921128 928404 939884 983127 1002404 1005771 1036269 1079364 1089411 1110772 1134716 1169124 1196052 1201464 1266551 1272282 1301586 1310836 1341028 1341054 1381692 1387944 1409826 1419912 1452548 1503606 1537992 1580714 1619046 1666158 1696376 1702074 1735448 1753686 1788072 1794078 1856808 1879768 1908423 1952379 1966254 2004808 2011542 2072538 2114739 2158728 2178822 2221544 2255409 2269432 2338248 2371071 2392104 2499237 2533102 2544564 2553111 2603172 2621672 2682056 2682108 2756611 2763384 2819652 2905096 2949381 3007212 3017313 3054623 3161428 3238092 3268233 3332316 3404148 3507372 3588156 3604799 3687827 3799653 3816846 3904758 3932508 3994507 4023084 4145076 4229478 4260217 4357644 4510818 4720781 4742142 4998474 5066204 5089128 5106222 5206344 5364216 5513222 5639304 5898762 6014424 6034626 6109246 6322856 6476184 6536466 6664632 6808296 7014744 7113213 7176312 7209598 7375654 7599306 7633692 7809516 7865016 7989014 8046168 8269833 8290152 8458956 8520434 8693927 8715288 9021636 9163869 9441562 9484284 9996948 10132408 10212444 10274641 10814397 11026444 11063481 11398959 11797524 11983521 12069252 12218492 12780651 13072932 13436069 14162343 14226426 14419196 14751308 15198612 15267384 15619032 15978028 16539666 16917912 17040868 17387854 18043272 18327738 18883124 18968568 19993896 20424888 20549282 21628794 22052888 22126962 22797918 23595048 23967042 24138504 24436984 24809499 25561302 26081781 26145864 26872138 27491607 28324686 28452852 28838392 29502616 30397224 30823923 31956056 32443191 33079332 33190443 34081736 34775708 35950563 36655476 37766248 38341953 40308207 41098564 42487029 43257588 44253924 45595836 46862387 47934084 49618998 51122604 51928591 52163562 53744276 54983214 56649372 56905704 61647846 64886382 66158664 66380886 69551416 71901126 73310952 76683906 78245343 80616414 82197128 84974058 86515176 88507848 91191672 92471769 93724774 95868168 99237996 102245208 103857182 104327124 107488552 109966428 113021051 113298744 120924621 123295692 129772764 132761772 140587161 143802252 147796759 153367812 155785773 156490686 161232828 169948116 174668897 184943538 187449548 198475992 207714364 208654248 219932856 226042102 241849242 246591384 259545528 265523544 281174322 287604504 295593518 306735624 311571546 312981372 322465656 339063153 339896232 349337794 369887076 374899096 415428728 421761483 443390277 452084204 467357319 483698484 524006691 562348644 591187036 623143092 625962744 678126306 698675588 739774152 843522966 886780554 904168408 934714638 967396968 1017189459 1048013382 1124697288 1182374072 1246286184 1330170831 1356252612 1397351176 1572020073 1687045932 1773561108 1869429276 1921357867 2034378918 2096026764 2660341662 2712505224 3144040146 3374091864 3547122216 3738858552 3842715734 4068757836 4192053528 5320683324 5764073601 6288080292 7685431468 8137515672 10641366648 11528147202 12576160584 15370862936 17292220803 23056294404 34584441606 46112588808 69168883212 138337766424
- Sum of all divisors σ(n): 491269484160
- Sum of proper divisors (its aliquot sum) s(n): 352931717736
- 138337766424 is an abundant number, because the sum of its proper divisors (352931717736) is greater than itself. Its abundance is 214593951312
Bases of 138337766424
- Binary: 100000001101011001001011001100000110002
- Hexadecimal: 0x203592CC18
- Base-36: 1RJUQFQ0
Squares and roots of 138337766424
- 138337766424 squared (1383377664242) is 19137337619181181747776
- 138337766424 cubed (1383377664243) is 2647416541539514582760128369473024
-
The
square root of 138337766424 is 371937.8529055627 -
The
cube root of 138337766424 is 5171.8619004081
Scales and comparisons
How big is 138337766424?- 138,337,766,424 seconds is equal to 4,398 years, 37 weeks, 13 hours, 20 minutes, 24 seconds.
-
To count from 1 to 138,337,766,424 would take you about eight thousand, seven hundred ninety-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 138337766424 cubic inches would be around 431 feet tall.
Recreational maths with 138337766424
- 138337766424 backwards is 424667733831
- The number of decimal digits it has is: 12
- The sum of 138337766424's digits is 54
- More coming soon!
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The information we have on file for 138337766424 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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