138344937432
138,344,937,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 138344937432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 256 divisors.
138344937432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138344937432:
23 × 3 × 13 × 17 × 593 × 127
(2 × 2 × 2 × 3 × 13 × 17 × 59 × 59 × 59 × 127)See below for interesting mathematical facts about the number 138344937432 from the Numbermatics database.
Names of 138344937432
- Cardinal: 138344937432 can be written as One hundred thirty-eight billion, three hundred forty-four million, nine hundred thirty-seven thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38344937432 × 1011
Factors of 138344937432
Divisors of 138344937432
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 59 68 78 102 104 118 127 136 156 177 204 221 236 254 312 354 381 408 442 472 508 663 708 762 767 884 1003 1016 1326 1416 1524 1534 1651 1768 2006 2159 2301 2652 3009 3048 3068 3302 3481 4012 4318 4602 4953 5304 6018 6136 6477 6604 6962 7493 8024 8636 9204 9906 10443 12036 12954 13039 13208 13924 14986 17272 18408 19812 20886 22479 24072 25908 26078 27848 28067 29972 39117 39624 41772 44958 45253 51816 52156 56134 59177 59944 78234 83544 84201 89916 90506 97409 104312 112268 118354 127381 135759 156468 168402 177531 179832 181012 194818 205379 224536 236708 254762 271518 292227 312936 336804 355062 362024 382143 389636 410758 442087 473416 509524 543036 584454 616137 673608 710124 764286 769301 779272 821516 884174 1019048 1086072 1168908 1232274 1326261 1420248 1528572 1538602 1643032 1655953 1768348 2307903 2337816 2464548 2652522 2669927 3057144 3077204 3311906 3491443 3536696 4615806 4929096 4967859 5305044 5339854 5747131 6154408 6623812 6982886 7515479 8009781 9231612 9935718 10474329 10610088 10679708 11494262 13247624 13965772 15030958 16019562 17241393 18463224 19871436 20948658 21359416 22546437 22988524 26083133 27931544 30061916 32039124 34482786 39742872 41897316 45092874 45388759 45977048 52166266 60123832 64078248 68965572 78249399 83794632 90185748 90777518 97701227 104332532 136166277 137931144 156498798 180371496 181555036 195402454 208665064 272332554 293103681 312997596 339080729 363110072 390804908 443413261 544665108 586207362 625995192 678161458 781609816 886826522 1017242187 1089330216 1172414724 1330239783 1356322916 1773653044 2034484374 2344829448 2660479566 2712645832 3547306088 4068968748 5320959132 5764372393 8137937496 10641918264 11528744786 17293117179 23057489572 34586234358 46114979144 69172468716 138344937432
- Sum of all divisors σ(n): 404335411200
- Sum of proper divisors (its aliquot sum) s(n): 265990473768
- 138344937432 is an abundant number, because the sum of its proper divisors (265990473768) is greater than itself. Its abundance is 127645536336
Bases of 138344937432
- Binary: 100000001101100000000000110111110110002
- Hexadecimal: 0x20360037D8
- Base-36: 1RJZ04WO
Squares and roots of 138344937432
- 138344937432 squared (1383449374322) is 19139321713063994754624
- 138344937432 cubed (1383449374323) is 2647828264884757411340433472685568
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The
square root of 138344937432 is 371947.4928427399 -
The
cube root of 138344937432 is 5171.9512633811
Scales and comparisons
How big is 138344937432?- 138,344,937,432 seconds is equal to 4,398 years, 48 weeks, 6 days, 13 hours, 17 minutes, 12 seconds.
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To count from 1 to 138,344,937,432 would take you about eight thousand, seven hundred ninety-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 138344937432 cubic inches would be around 431 feet tall.
Recreational maths with 138344937432
- 138344937432 backwards is 234739443831
- 138344937432 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138344937432's digits is 51
- More coming soon!
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