138984093359634
138,984,093,359,634 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138984093359634 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
138984093359634 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138984093359634:
2 × 3 × 19 × 612 × 73 × 137 × 1812
(2 × 3 × 19 × 61 × 61 × 73 × 137 × 181 × 181)See below for interesting mathematical facts about the number 138984093359634 from the Numbermatics database.
Names of 138984093359634
- Cardinal: 138984093359634 can be written as One hundred thirty-eight trillion, nine hundred eighty-four billion, ninety-three million, three hundred fifty-nine thousand, six hundred thirty-four.
Scientific notation
- Scientific notation: 1.38984093359634 × 1014
Factors of 138984093359634
Divisors of 138984093359634
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 6 19 38 57 61 73 114 122 137 146 181 183 219 274 362 366 411 438 543 822 1086 1159 1387 2318 2603 2774 3439 3477 3721 4161 4453 5206 6878 6954 7442 7809 8322 8357 8906 10001 10317 11041 11163 13213 13359 15618 16714 20002 20634 22082 22326 24797 25071 26426 26718 30003 32761 33123 39639 49594 50142 60006 65522 66246 70699 74391 79278 84607 98283 141398 148782 158783 169214 190019 196566 209779 212097 251047 253821 271633 317566 380038 419558 424194 471143 476349 502094 507642 509777 543266 570057 610061 622459 629337 673501 753141 805993 814899 942286 952698 1019554 1140114 1220122 1244918 1258674 1347002 1413429 1506282 1512617 1529331 1611986 1629798 1810181 1830183 1867377 1998421 2020503 2391553 2417979 2826858 3025234 3058662 3620362 3660366 3734754 3996842 4041006 4488257 4537851 4783106 4835958 5161027 5430543 5995263 7174659 8976514 9075702 9685763 10322054 10861086 11591159 11990526 12796519 13464771 14349318 15313867 15483081 19371526 23182318 25593038 26929542 28739723 29057289 30627734 30966162 34393439 34773477 37213721 37969999 38389557 45439507 45941601 49165573 57479446 58114578 68786878 69546954 74427442 75939998 76779114 85276883 86219169 90879014 91883202 92269637 98331146 103180317 110421041 111641163 113909997 121903681 136318521 145884733 147496719 170553766 172438338 184539274 206360634 220842082 223282326 227819994 243807362 255830649 272637042 273783677 276808911 291769466 294993438 327642761 331263123 365711043 437654199 511661298 547567354 553617822 655285522 662526246 707060699 731422086 821351031 875308398 934145887 982928283 1414121398 1642702062 1753123103 1868291774 1965856566 2097999779 2121182097 2316169939 2771809927 2802437661 3506246206 4195999558 4242364194 4632339878 5201889863 5259369309 5543619854 5604875322 6225212459 6293999337 6735683501 6948509817 8315429781 8898968713 10403779726 10518738618 12450424918 12587998674 13471367002 13897019634 15605669589 16630859562 16700804297 17797937426 18675637377 19986208421 20207050503 26696906139 31211339178 33401608594 37351274754 39972416842 40414101006 50102412891 53393812278 59958625263 100204825782 119917250526 127977986519 169080405547 255955973038 317315281643 338160811094 379737959999 383933959557 507241216641 634630563286 759475919998 767867919114 951945844929 1014482433282 1139213879997 1219158713681 1903891689858 2278427759994 2438317427362 3657476141043 7314952282086 23164015559939 46328031119878 69492046679817 138984093359634
- Sum of all divisors σ(n): 305436922614720
- Sum of proper divisors (its aliquot sum) s(n): 166452829255086
- 138984093359634 is an abundant number, because the sum of its proper divisors (166452829255086) is greater than itself. Its abundance is 27468735895452
Bases of 138984093359634
- Binary: 111111001100111110000011000001110011110000100102
- Hexadecimal: 0x7E67C1839E12
- Base-36: 1D9KESQ1HU
Squares and roots of 138984093359634
- 138984093359634 squared (1389840933596342) is 19316578206999459733260613956
- 138984093359634 cubed (1389840933596343) is 2684697108910284449413292065009249547452104
-
The
square root of 138984093359634 is 11789151.5114377081 -
The
cube root of 138984093359634 is 51799.0386269347
Scales and comparisons
How big is 138984093359634?- 138,984,093,359,634 seconds is equal to 4,419,264 years, 13 weeks, 4 days, 15 hours, 53 minutes, 54 seconds.
-
To count from 1 to 138,984,093,359,634 would take you about eleven million, forty-eight thousand, one hundred sixty 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 138984093359634 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138984093359634
- 138984093359634 backwards is 436953390489831
- The number of decimal digits it has is: 15
- The sum of 138984093359634's digits is 75
- More coming soon!
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