138175360084944
138,175,360,084,944 is an even composite number composed of five prime numbers multiplied together.
What does the number 138175360084944 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138175360084944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138175360084944:
24 × 311 × 73 × 132 × 292
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 29 × 29)See below for interesting mathematical facts about the number 138175360084944 from the Numbermatics database.
Names of 138175360084944
- Cardinal: 138175360084944 can be written as One hundred thirty-eight trillion, one hundred seventy-five billion, three hundred sixty million, eighty-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38175360084944 × 1014
Factors of 138175360084944
Divisors of 138175360084944
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 36 39 42 48 49 52 54 56 58 63 72 78 81 84 87 91 98 104 108 112 116 117 126 144 147 156 162 168 169 174 182 189 196 203 208 216 232 234 243 252 261 273 294 312 324 336 338 343 348 351 364 377 378 392 406 432 441 464 468 486 504 507 522 546 567 588 609 624 637 648 676 686 696 702 728 729 754 756 783 784 812 819 841 882 936 972 1008 1014 1029 1044 1053 1092 1131 1134 1176 1183 1218 1274 1296 1323 1352 1372 1392 1404 1421 1456 1458 1508 1512 1521 1566 1624 1638 1682 1701 1764 1827 1872 1911 1944 2028 2058 2088 2106 2184 2187 2262 2268 2349 2352 2366 2436 2457 2523 2548 2639 2646 2704 2744 2808 2842 2916 3016 3024 3042 3087 3132 3159 3248 3276 3364 3393 3402 3528 3549 3654 3822 3888 3969 4056 4116 4176 4212 4263 4368 4374 4459 4524 4536 4563 4698 4732 4872 4901 4914 5046 5096 5103 5278 5292 5481 5488 5616 5684 5733 5832 5887 6032 6084 6174 6264 6318 6552 6561 6728 6786 6804 7047 7056 7098 7308 7371 7569 7644 7917 7938 8112 8232 8281 8424 8526 8748 8918 9048 9072 9126 9261 9396 9464 9477 9744 9802 9828 9947 10092 10179 10192 10206 10556 10584 10647 10933 10962 11368 11466 11664 11774 11907 12168 12348 12528 12636 12789 13104 13122 13377 13456 13572 13608 13689 14094 14196 14616 14703 14742 15138 15288 15309 15834 15876 16443 16464 16562 16848 17052 17199 17496 17661 17836 18096 18252 18473 18522 18792 18928 18954 19604 19656 19683 19894 20184 20358 20412 21112 21141 21168 21294 21866 21924 22113 22707 22736 22932 23548 23751 23814 24336 24696 24843 25272 25578 26244 26754 27144 27216 27378 27783 28188 28392 28431 29232 29406 29484 29841 30276 30537 30576 30618 31668 31752 31941 32799 32886 33124 34104 34307 34398 34992 35322 35672 35721 36504 36946 37044 37584 37908 38367 39208 39312 39366 39788 40131 40368 40716 40824 41067 41209 42224 42282 42588 43732 43848 44109 44226 45414 45864 45927 47096 47502 47628 49329 49392 49686 50544 51156 51597 52488 52983 53508 54288 54756 55419 55566 56376 56784 56862 57967 58812 58968 59049 59682 60552 61074 61236 63336 63423 63504 63882 65598 65772 66248 66339 68121 68208 68614 68796 70644 71253 71344 71442 73008 73892 74088 74529 75816 76531 76734 78416 78732 79576 80262 81432 81648 82134 82418 83349 84564 85176 85293 87464 87696 88218 88452 89523 90828 91611 91728 91854 94192 95004 95256 95823 98397 98658 99372 102312 102921 103194 104976 105966 107016 107163 109512 110838 111132 112752 113724 115101 115934 117624 117936 118098 119364 120393 121104 122148 122472 123201 123627 126672 126846 127764 129311 131196 131544 132327 132496 132678 136242 137228 137592 137781 141288 142129 142506 142884 147784 147987 148176 149058 151632 153062 153468 154791 157464 158949 159152 160524 162864 164268 164836 166257 166698 169128 170352 170586 173901 174928 176436 176904 177147 179046 181656 183222 183708 190008 190269 190512 191646 196794 197316 198744 199017 204363 204624 205842 206388 211932 213759 214032 214326 219024 221676 222264 223587 227448 229593 230202 231868 235248 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117496054494 121847760216 122170963824 126534212532 131220664848 132351877476 134281205136 136267613496 137078730243 142155720252 147623247954 156661405992 164298882384 168712283376 170166699612 176244081741 176469169968 182771640324 183256445736 189540960336 189801318798 196830997272 198527816214 201421807704 204401420244 213233580378 216915792912 221434871931 226888932816 234992108988 243695520432 253068425064 264703754952 272535226992 274157460486 284311440504 295246495908 297791724321 313322811984 319850370567 340333399224 352488163482 365543280648 366512891472 379602637596 393661994544 397055632428 402843615408 408802840488 411236190729 426467160756 442869743862 469984217976 506136850128 529407509904 548314920972 568622881008 590492991816 595583448642 639700741134 664304615793 680666798448 704976326964 731086561296 759205275192 794111264856 817605680976 822472381458 852934321512 885739487724 939968435952 959551111701 1096629841944 1180985983632 1191166897284 1233708572187 1279401482268 1328609231586 1409952653928 1518410550384 1588222529712 1644944762916 1705868643024 1771478975448 1919102223402 2193259683888 2382333794568 2467417144374 2558802964536 2657218463172 2819905307856 2878653335103 3289889525832 3542957950896 3838204446804 4764667589136 4934834288748 5117605929072 5314436926344 5757306670206 6579779051664 7676408893608 8635960005309 9869668577496 10628873852688 11514613340412 15352817787216 17271920010618 19739337154992 23029226680824 34543840021236 46058453361648 69087680042472 138175360084944
- Sum of all divisors σ(n): 525188458704000
- Sum of proper divisors (its aliquot sum) s(n): 387013098619056
- 138175360084944 is an abundant number, because the sum of its proper divisors (387013098619056) is greater than itself. Its abundance is 248837738534112
Bases of 138175360084944
- Binary: 111110110101011011101010100000100101011110100002
- Hexadecimal: 0x7DAB75412BD0
- Base-36: 1CZ8VTT900
Squares and roots of 138175360084944
- 138175360084944 squared (1381753600849442) is 19092430134603935566895483136
- 138175360084944 cubed (1381753600849443) is 2638103408745534639726384167485098879504384
-
The
square root of 138175360084944 is 11754801.5757367849 -
The
cube root of 138175360084944 is 51698.3721332765
Scales and comparisons
How big is 138175360084944?- 138,175,360,084,944 seconds is equal to 4,393,549 years, 2 weeks, 2 days, 20 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,175,360,084,944 would take you about ten million, nine hundred eighty-three thousand, eight hundred seventy-two 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 138175360084944 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138175360084944
- 138175360084944 backwards is 449480063571831
- 138175360084944 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138175360084944's digits is 63
- More coming soon!
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MLA style:
"Number 138175360084944 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138175360084944 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138175360084944/
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Numbermatics. 2024. "Number 138175360084944 - Facts about the integer". https://numbermatics.com/n/138175360084944/
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