34419638014125
34,419,638,014,125 is an odd composite number composed of five prime numbers multiplied together.
34419638014125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 34419638014125:
3 × 53 × 73 × 133 × 3492
(3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 349 × 349)See below for interesting mathematical facts about the number 34419638014125 from the Numbermatics database.
Names of 34419638014125
- Cardinal: 34419638014125 can be written as Thirty-four trillion, four hundred nineteen billion, six hundred thirty-eight million, fourteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.4419638014125 × 1013
Factors of 34419638014125
Divisors of 34419638014125
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 169 175 195 245 273 325 343 349 375 455 507 525 637 735 845 875 975 1029 1047 1183 1225 1365 1625 1715 1745 1911 2197 2275 2443 2535 2625 3185 3549 3675 4225 4459 4537 4875 5145 5235 5915 6125 6591 6825 7329 8281 8575 8725 9555 10985 11375 12215 12675 13377 13611 15379 15925 17101 17745 18375 21125 22295 22685 24843 25725 26175 29575 31759 32955 34125 36645 41405 42875 43625 46137 47775 51303 54925 57967 58981 61075 63375 66885 68055 76895 79625 85505 88725 95277 107653 111475 113425 119707 121801 124215 128625 130875 147875 158795 164775 173901 176943 183225 207025 222313 230685 238875 256515 274625 289835 294905 305375 322959 334425 340275 359121 365403 384475 412867 427525 443625 476385 538265 557375 567125 598535 609005 621075 666939 753571 766753 793975 823875 852607 869505 884715 916125 1035125 1111565 1153425 1238601 1282575 1449175 1474525 1556191 1583413 1614795 1672125 1701375 1795605 1827015 1922375 2064335 2137625 2260713 2300259 2381925 2557821 2691325 2890069 2992675 3045025 3105375 3334695 3767855 3833765 3969875 4263035 4347525 4423575 4668573 4750239 5367271 5557825 5767125 5968249 6193005 6412875 7245875 7372625 7780955 7917065 8073975 8670207 8978025 9135075 10321675 11083891 11303565 11501295 11909625 12789105 13456625 14450345 14963375 15225125 16101813 16673475 17904747 18839275 19168825 20230483 20584369 21315175 21737625 22117875 23342865 23751195 26836355 27789125 29841245 30965025 33251673 37570897 38904775 39585325 40369875 41777743 43351035 44890125 45675375 51608375 55419455 56517825 57506475 60691449 61753107 63945525 72251725 77587237 80509065 83367375 89523735 94196375 95844125 101152415 102921845 106575875 112712691 116714325 118755975 125333229 134181775 144090583 149206225 154825125 166258365 187854485 194523875 197926625 208888715 216755175 232761711 262996279 267596797 277097275 282589125 287532375 303457245 308765535 319727625 361258625 387936185 402545325 432271749 447618675 505762075 514609225 543110659 563563455 583571625 593779875 626666145 670908875 720452915 746031125 788988837 802790391 831291825 939272425 1008634081 1044443575 1083775875 1163808555 1314981395 1337983985 1385486375 1517286225 1543827675 1629331977 1873177579 1939680925 2012726625 2161358745 2238093375 2528810375 2573046125 2715553295 2817817275 3025902243 3133330725 3602264575 3944944185 4013951955 4156459125 4696362125 5043170405 5222217875 5619532737 5819042775 6574906975 6689919925 7060438567 7586431125 7719138375 8146659885 9365887895 9698404625 10806793725 13112243053 13577766475 14089086375 15129511215 15666653625 18011322875 19724720925 20069759775 21181315701 25215852025 28097663685 29095213875 32874534875 33449599625 35302192835 39336729159 40733299425 46829439475 54033968625 65561215265 67888832375 75647556075 91785701371 98623604625 100348798875 105906578505 126079260125 140488318425 176510964175 196683645795 203666497125 234147197375 275357104113 327806076325 378237780375 458928506855 529532892525 702441592125 882554820875 983418228975 1376785520565 1639030381625 2294642534275 2647664462625 4917091144875 6883927602825 11473212671375 34419638014125
- Sum of all divisors σ(n): 72563557248000
- Sum of proper divisors (its aliquot sum) s(n): 38143919233875
- 34419638014125 is an abundant number, because the sum of its proper divisors (38143919233875) is greater than itself. Its abundance is 3724281219750
Bases of 34419638014125
- Binary: 1111101001101111100100100110000010000101011012
- Hexadecimal: 0x1F4DF24C10AD
- Base-36: C785VS97X
Squares and roots of 34419638014125
- 34419638014125 squared (344196380141252) is 1184711481023398773699515625
- 34419638014125 cubed (344196380141253) is 40777340328003304989836756266349408203125
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The
square root of 34419638014125 is 5866825.2073949673 -
The
cube root of 34419638014125 is 32528.8542216667
Scales and comparisons
How big is 34419638014125?- 34,419,638,014,125 seconds is equal to 1,094,438 years, 1 week, 23 hours, 28 minutes, 45 seconds.
-
To count from 1 to 34,419,638,014,125 would take you about two million, seven hundred thirty-six thousand and ninety-five 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 34419638014125 cubic inches would be around 2710.7 feet tall.
Recreational maths with 34419638014125
- 34419638014125 backwards is 52141083691443
- The number of decimal digits it has is: 14
- The sum of 34419638014125's digits is 51
- More coming soon!
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