138031509417984
138,031,509,417,984 is an even composite number composed of seven prime numbers multiplied together.
138031509417984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 138031509417984:
212 × 34 × 7 × 13 × 31 × 139 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 31 × 139 × 1061)See below for interesting mathematical facts about the number 138031509417984 from the Numbermatics database.
Names of 138031509417984
- Cardinal: 138031509417984 can be written as One hundred thirty-eight trillion, thirty-one billion, five hundred nine million, four hundred seventeen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38031509417984 × 1014
Factors of 138031509417984
Divisors of 138031509417984
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 48 52 54 56 62 63 64 72 78 81 84 91 93 96 104 108 112 117 124 126 128 139 144 156 162 168 182 186 189 192 208 216 217 224 234 248 252 256 273 278 279 288 312 324 336 351 364 372 378 384 403 416 417 432 434 448 468 496 504 512 546 556 558 567 576 624 648 651 672 702 728 744 756 768 806 819 832 834 837 864 868 896 936 973 992 1008 1024 1053 1061 1092 1112 1116 1134 1152 1209 1248 1251 1296 1302 1344 1404 1456 1488 1512 1536 1612 1638 1664 1668 1674 1728 1736 1792 1807 1872 1946 1953 1984 2016 2048 2106 2122 2184 2224 2232 2268 2304 2418 2457 2496 2502 2511 2592 2604 2688 2808 2821 2912 2919 2976 3024 3072 3183 3224 3276 3328 3336 3348 3456 3472 3584 3614 3627 3744 3753 3892 3906 3968 4032 4096 4212 4244 4309 4368 4448 4464 4536 4608 4836 4914 4992 5004 5022 5184 5208 5376 5421 5616 5642 5824 5838 5859 5952 6048 6144 6366 6448 6552 6656 6672 6696 6912 6944 7168 7228 7254 7371 7427 7488 7506 7784 7812 7936 8064 8424 8463 8488 8618 8736 8757 8896 8928 9072 9216 9549 9672 9828 9984 10008 10044 10368 10416 10752 10842 10881 11232 11259 11284 11648 11676 11718 11904 12096 12288 12649 12732 12896 12927 13104 13312 13344 13392 13793 13824 13888 14336 14456 14508 14742 14854 14976 15012 15568 15624 15872 16128 16263 16848 16926 16976 17236 17472 17514 17577 17792 17856 18144 18432 19098 19344 19656 19968 20016 20088 20736 20832 21504 21684 21762 22281 22464 22518 22568 23296 23352 23436 23808 24192 25298 25389 25464 25792 25854 26208 26271 26624 26688 26784 27586 27648 27776 28647 28672 28912 29016 29484 29708 29952 30024 30163 31136 31248 31744 32256 32526 32643 32891 33696 33852 33952 34472 34944 35028 35154 35584 35712 36288 36864 37947 38196 38688 38781 39312 39936 40032 40176 41379 41472 41664 43008 43368 43524 44562 44928 45036 45136 46592 46704 46872 47616 48384 48789 50596 50778 50928 51584 51708 52416 52542 53248 53376 53568 55172 55296 55552 56017 57294 57824 58032 58968 59416 59904 60048 60326 62272 62496 63488 64512 65052 65286 65782 66843 67392 67704 67904 68944 69888 70056 70308 71168 71424 72576 75894 76167 76392 77376 77562 78624 78813 79872 80064 80352 82758 82944 83328 85941 86016 86736 87048 89124 89856 90072 90272 90489 93184 93408 93744 95232 96551 96768 97578 98673 101192 101556 101856 103168 103416 104832 105084 106752 107136 110344 110592 111104 112034 113841 114588 115648 116064 116343 117936 118832 119808 120096 120652 124137 124544 124992 126976 129024 130104 130572 131564 133686 134784 135408 135808 137888 139776 140112 140616 142336 142848 145152 146367 147479 151788 152334 152784 154752 155124 157248 157626 159744 160128 160704 165516 165888 166656 168051 171882 173472 174096 178248 179712 180144 180544 180978 186368 186816 187488 190464 193102 193536 195156 197346 200529 202384 203112 203712 206336 206832 209664 210168 213504 214272 220688 222208 224068 227682 228501 229176 230237 231296 232128 232686 235872 237664 239616 240192 241304 248274 249088 249984 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539185583664 547744084992 556578667008 589878245376 616212095616 636089905152 639034765824 663613026048 718914111552 730325446656 742104889344 758414886912 821616127488 852046354432 884817368064 958552148736 993032441856 1078371167328 1095488169984 1113157334016 1179756490752 1232424191232 1278069531648 1327226052096 1437828223104 1484209778688 1516829773824 1643232254976 1704092708864 1769634736128 1917104297472 2156742334656 2190976339968 2226314668032 2464848382464 2556139063296 2654452104192 2875656446208 3286464509952 3539269472256 3834208594944 4313484669312 4452629336064 4929696764928 5112278126592 5308904208384 5751312892416 6572929019904 7668417189888 8626969338624 9859393529856 10617808416768 11502625784832 15336834379776 17253938677248 19718787059712 23005251569664 34507877354496 46010503139328 69015754708992 138031509417984
- Sum of all divisors σ(n): 528132446392320
- Sum of proper divisors (its aliquot sum) s(n): 390100936974336
- 138031509417984 is an abundant number, because the sum of its proper divisors (390100936974336) is greater than itself. Its abundance is 252069427556352
Bases of 138031509417984
- Binary: 111110110001001111101110001011000110000000000002
- Hexadecimal: 0x7D89F7163000
- Base-36: 1CXESSU800
Squares and roots of 138031509417984
- 138031509417984 squared (1380315094179842) is 19052697592207005690422624256
- 138031509417984 cubed (1380315094179843) is 2629872607136722386201674740301292481019904
-
The
square root of 138031509417984 is 11748681.1778166829 -
The
cube root of 138031509417984 is 51680.4253069439
Scales and comparisons
How big is 138031509417984?- 138,031,509,417,984 seconds is equal to 4,388,975 years, 2 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,031,509,417,984 would take you about ten million, nine hundred seventy-two thousand, four hundred thirty-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 138031509417984 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138031509417984
- 138031509417984 backwards is 489714905130831
- 138031509417984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138031509417984's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138031509417984 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138031509417984 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138031509417984/
Chicago style:
Numbermatics. 2024. "Number 138031509417984 - Facts about the integer". https://numbermatics.com/n/138031509417984/
The information we have on file for 138031509417984 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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