138238997376
138,238,997,376 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138238997376 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
138238997376 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138238997376:
27 × 3 × 17 × 19 × 31 × 157 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 19 × 31 × 157 × 229)See below for interesting mathematical facts about the number 138238997376 from the Numbermatics database.
Names of 138238997376
- Cardinal: 138238997376 can be written as One hundred thirty-eight billion, two hundred thirty-eight million, nine hundred ninety-seven thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.38238997376 × 1011
Factors of 138238997376
Divisors of 138238997376
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 31 32 34 38 48 51 57 62 64 68 76 93 96 102 114 124 128 136 152 157 186 192 204 228 229 248 272 304 314 323 372 384 408 456 458 471 496 527 544 589 608 628 646 687 744 816 912 916 942 969 992 1054 1088 1178 1216 1256 1292 1374 1488 1581 1632 1767 1824 1832 1884 1938 1984 2108 2176 2356 2432 2512 2584 2669 2748 2976 2983 3162 3264 3534 3648 3664 3768 3876 3893 3968 4216 4351 4712 4867 5024 5168 5338 5496 5952 5966 6324 6528 7068 7099 7296 7328 7536 7752 7786 8007 8432 8702 8949 9424 9734 10013 10048 10336 10676 10992 11679 11904 11932 12648 13053 14136 14198 14601 14656 15072 15504 15572 16014 16864 17404 17898 18848 19468 20026 20096 20672 21297 21352 21984 23358 23864 25296 26106 28272 28396 29202 29312 30039 30144 31008 31144 32028 33728 34808 35796 35953 37696 38936 40052 41344 42594 42704 43968 46716 47728 50592 50711 52212 56544 56792 58404 60078 60288 62016 62288 64056 67456 69616 71592 71906 73967 75392 77872 80104 82739 85188 85408 87936 92473 93432 95456 101184 101422 104424 107859 113088 113584 116808 120156 120683 124032 124576 128112 134881 139232 143184 143812 147934 152133 155744 160208 165478 170376 170816 184946 186864 190912 202368 202844 208848 215718 221901 226176 227168 233616 240312 241366 248217 249152 256224 269762 277419 278464 286368 287624 295868 304266 311488 320416 330956 340752 341632 362049 369892 373728 381824 404643 405688 417696 431436 443802 454336 467232 480624 482732 496434 498304 512448 539524 554838 556928 572736 575248 591736 608532 611201 622976 640832 661912 681504 683107 724098 739784 747456 809286 811376 835392 862872 887604 908672 934464 961248 965464 992868 1024896 1079048 1109676 1114543 1145472 1150496 1183472 1217064 1222402 1281664 1323824 1363008 1366214 1448196 1479568 1494912 1572041 1618572 1622752 1670784 1725744 1775208 1833603 1868928 1922496 1930928 1985736 2049321 2158096 2219352 2229086 2292977 2300992 2366944 2434128 2444804 2647648 2726016 2732428 2896392 2959136 3144082 3237144 3245504 3343629 3451488 3550416 3667206 3844992 3861856 3971472 4098642 4316192 4438704 4458172 4585954 4601984 4716123 4733888 4868256 4889608 5295296 5464856 5792784 5918272 6288164 6474288 6491008 6687258 6878931 6902976 7100832 7334412 7723712 7942944 8197284 8632384 8877408 8916344 9171908 9432246 9467776 9736512 9779216 10590592 10929712 11585568 11612819 11836544 12576328 12948576 13374516 13757862 13805952 14201664 14668824 15447424 15885888 16394568 17264768 17754816 17832688 18343816 18864492 18947231 19473024 19558432 21176317 21859424 23171136 23225638 25152656 25897152 26749032 27515724 28403328 29337648 31771776 32789136 34838457 35509632 35665376 36687632 37728984 37894462 39116864 42352634 43718848 46342272 46451276 50305312 51794304 53498064 55031448 56841693 58675296 63528951 65578272 69676914 71330752 73375264 75457968 75788924 78233728 84705268 87437696 92902552 100610624 106996128 110062896 113683386 117350592 127057902 131156544 139353828 142661504 146750528 150915936 151577848 169410536 185805104 201221248 213992256 220125792 227366772 234701184 254115804 262313088 278707656 293501056 301831872 303155696 338821072 359997389 371610208 427984512 440251584 454733544 508231608 557415312 603663744 606311392 677642144 719994778 743220416 880503168 909467088 1016463216 1079992167 1114830624 1212622784 1355284288 1439989556 1486440832 1818934176 2032926432 2159984334 2229661248 2425245568 2710568576 2879979112 3637868352 4065852864 4319968668 4459322496 5759958224 7275736704 8131705728 8639937336 11519916448 17279874672 23039832896 34559749344 46079665792 69119498688 138238997376
- Sum of all divisors σ(n): 427009536000
- Sum of proper divisors (its aliquot sum) s(n): 288770538624
- 138238997376 is an abundant number, because the sum of its proper divisors (288770538624) is greater than itself. Its abundance is 150531541248
Bases of 138238997376
- Binary: 100000001011111010111110110011100000002
- Hexadecimal: 0x202FAFB380
- Base-36: 1RI7XH1C
Squares and roots of 138238997376
- 138238997376 squared (1382389973762) is 19110020395521734885376
- 138238997376 cubed (1382389973763) is 2641750059311835590970460524773376
-
The
square root of 138238997376 is 371805.0529188649 -
The
cube root of 138238997376 is 5170.6307555375
Scales and comparisons
How big is 138238997376?- 138,238,997,376 seconds is equal to 4,395 years, 29 weeks, 5 days, 9 hours, 29 minutes, 36 seconds.
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To count from 1 to 138,238,997,376 would take you about eight thousand, seven hundred ninety-one 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 138238997376 cubic inches would be around 430.9 feet tall.
Recreational maths with 138238997376
- 138238997376 backwards is 673799832831
- The number of decimal digits it has is: 12
- The sum of 138238997376's digits is 66
- More coming soon!
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