138637137072
138,637,137,072 is an even composite number composed of six prime numbers multiplied together.
138637137072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138637137072:
24 × 3 × 73 × 31 × 612 × 73
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 31 × 61 × 61 × 73)See below for interesting mathematical facts about the number 138637137072 from the Numbermatics database.
Names of 138637137072
- Cardinal: 138637137072 can be written as One hundred thirty-eight billion, six hundred thirty-seven million, one hundred thirty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38637137072 × 1011
Factors of 138637137072
Divisors of 138637137072
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 61 62 73 84 93 98 112 122 124 146 147 168 183 186 196 217 219 244 248 292 294 336 343 366 372 392 427 434 438 488 496 511 584 588 651 686 732 744 784 854 868 876 976 1022 1029 1168 1176 1281 1302 1372 1464 1488 1519 1533 1708 1736 1752 1891 2044 2058 2263 2352 2562 2604 2744 2928 2989 3038 3066 3416 3472 3504 3577 3721 3782 4088 4116 4453 4526 4557 5124 5208 5488 5673 5978 6076 6132 6789 6832 7154 7442 7564 8176 8232 8906 8967 9052 9114 10248 10416 10633 10731 11163 11346 11956 12152 12264 13237 13359 13578 14308 14884 15128 15841 16464 17812 17934 18104 18228 20496 20923 21266 21462 22326 22692 23912 24304 24528 25039 26047 26474 26718 27156 28616 29768 30256 31171 31682 31899 35624 35868 36208 36456 39711 41846 42532 42924 44652 45384 47523 47824 50078 52094 52948 53436 54312 57232 59536 62342 62769 63364 63798 71248 71736 72912 75117 78141 79422 83692 85064 85848 89304 90768 92659 93513 95046 100156 104188 105896 106872 108624 110887 115351 124684 125538 126728 127596 138043 143472 150234 156282 158844 167384 170128 171696 178608 182329 185318 187026 190092 200312 208376 211792 213744 218197 221774 230702 249368 251076 253456 255192 271633 276086 277977 300468 312564 317688 332661 334768 346053 364658 370636 374052 380184 400624 414129 416752 436394 443548 461404 498736 502152 510384 543266 546987 552172 555954 600936 625128 635376 648613 654591 665322 692106 729316 741272 748104 760368 776209 807457 814899 828258 872788 887096 922808 966301 1004304 1086532 1093974 1104344 1111908 1201872 1250256 1276303 1297226 1309182 1330644 1384212 1458632 1482544 1496208 1527379 1552418 1614914 1629798 1656516 1745576 1774192 1845616 1901431 1932602 1945839 2173064 2187948 2208688 2223816 2328627 2422371 2552606 2594452 2618364 2661288 2768424 2898903 2917264 3054758 3104836 3229828 3259596 3313032 3491152 3802862 3828909 3865204 3891678 4346128 4375896 4447632 4582137 4657254 4844742 5105212 5188904 5236728 5322576 5536848 5652199 5704293 5797806 6109516 6209672 6459656 6519192 6626064 6764107 7605724 7657818 7730408 7783356 8420623 8751792 9164274 9314508 9689484 10210424 10377808 10473456 11304398 11408586 11595612 12219032 12419344 12919312 13038384 13310017 13528214 15211448 15315636 15460816 15566712 16841246 16956597 18328548 18629016 19378968 20292321 20420848 22608796 22817172 23191224 24438064 25261869 26620034 27056428 30422896 30631272 31133424 33682492 33913194 36657096 37258032 38757936 39565393 39930051 40584642 45217592 45634344 46382448 47348749 50523738 53240068 54112856 58944361 61262544 67364984 67826388 73314192 79130786 79860102 81169284 90435184 91268688 93170119 94697498 101047476 106480136 108225712 117888722 118696179 134729968 135652776 142046247 158261572 159720204 162338568 176833083 186340238 189394996 202094952 212960272 235777444 237392358 271305552 279510357 284092494 316523144 319440408 324677136 353666166 372680476 378789992 404189904 412610527 471554888 474784716 559020714 568184988 633046288 638880816 707332332 745360952 757579984 825221054 943109776 949569432 1118041428 1136369976 1237831581 1414664664 1490721904 1650442108 1899138864 2236082856 2272739952 2475663162 2829329328 2888273689 3300884216 4472165712 4951326324 5776547378 6601768432 8664821067 9902652648 11553094756 17329642134 19805305296 23106189512 34659284268 46212379024 69318568536 138637137072
- Sum of all divisors σ(n): 444323942400
- Sum of proper divisors (its aliquot sum) s(n): 305686805328
- 138637137072 is an abundant number, because the sum of its proper divisors (305686805328) is greater than itself. Its abundance is 167049668256
Bases of 138637137072
- Binary: 100000010001110110101011010100101100002
- Hexadecimal: 0x20476AD4B0
- Base-36: 1ROSYZLC
Squares and roots of 138637137072
- 138637137072 squared (1386371370722) is 19220255775520516733184
- 138637137072 cubed (1386371370723) is 2664641234509737540486699858997248
-
The
square root of 138637137072 is 372340.0825481995 -
The
cube root of 138637137072 is 5175.5899450761
Scales and comparisons
How big is 138637137072?- 138,637,137,072 seconds is equal to 4,408 years, 12 weeks, 11 hours, 51 minutes, 12 seconds.
-
To count from 1 to 138,637,137,072 would take you about eight thousand, eight hundred sixteen 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 138637137072 cubic inches would be around 431.3 feet tall.
Recreational maths with 138637137072
- 138637137072 backwards is 270731736831
- 138637137072 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138637137072's digits is 48
- More coming soon!
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