138729443765625
138,729,443,765,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138729443765625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
138729443765625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138729443765625:
33 × 56 × 17 × 19 × 10092
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 17 × 19 × 1009 × 1009)See below for interesting mathematical facts about the number 138729443765625 from the Numbermatics database.
Names of 138729443765625
- Cardinal: 138729443765625 can be written as One hundred thirty-eight trillion, seven hundred twenty-nine billion, four hundred forty-three million, seven hundred sixty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38729443765625 × 1014
Factors of 138729443765625
Divisors of 138729443765625
- Number of divisors d(n): 336
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Complete list of divisors:
1 3 5 9 15 17 19 25 27 45 51 57 75 85 95 125 135 153 171 225 255 285 323 375 425 459 475 513 625 675 765 855 969 1009 1125 1275 1425 1615 1875 2125 2295 2375 2565 2907 3027 3125 3375 3825 4275 4845 5045 5625 6375 7125 8075 8721 9081 9375 10625 11475 11875 12825 14535 15135 15625 16875 17153 19125 19171 21375 24225 25225 27243 28125 31875 35625 40375 43605 45405 46875 51459 53125 57375 57513 59375 64125 72675 75675 84375 85765 95625 95855 106875 121125 126125 136215 140625 154377 159375 172539 178125 201875 218025 227025 257295 265625 286875 287565 296875 320625 325907 363375 378375 421875 428825 463131 478125 479275 517617 534375 605625 630625 681075 771885 796875 862695 890625 977721 1009375 1018081 1090125 1135125 1286475 1434375 1437825 1603125 1629535 1816875 1891875 2144125 2315655 2390625 2396375 2588085 2671875 2933163 3028125 3054243 3153125 3405375 3859425 4313475 4888605 5046875 5090405 5450625 5675625 6432375 7171875 7189125 8015625 8147675 8799489 9084375 9162729 9459375 10720625 11578275 11981875 12940425 14665815 15140625 15271215 15765625 17026875 17307377 19297125 19343539 21567375 24443025 25452025 27253125 27488187 28378125 32161875 35945625 40738375 43997445 45421875 45813645 47296875 51922131 53603125 57891375 58030617 59909375 64702125 73329075 76356075 85134375 86536885 96485625 96717695 107836875 122215125 127260125 136265625 137440935 141890625 155766393 160809375 174091851 179728125 203691875 219987225 229068225 259610655 268015625 289456875 290153085 299546875 323510625 328840163 366645375 381780375 425671875 432684425 467299179 482428125 483588475 522275553 539184375 611075625 636300625 687204675 778831965 804046875 870459255 898640625 986520489 1018459375 1099936125 1145341125 1298053275 1447284375 1450765425 1617553125 1644200815 1833226875 1908901875 2163422125 2336495895 2412140625 2417942375 2611377765 2695921875 2959561467 3055378125 3181503125 3436023375 3894159825 4352296275 4932602445 5092296875 5499680625 5726705625 6490266375 7236421875 7253827125 8087765625 8221004075 8878684401 9166134375 9544509375 10817110625 11682479475 12089711875 13056888825 14797807335 15276890625 15907515625 17180116875 19470799125 21761481375 24663012225 27498403125 28633528125 32451331875 36269135625 41105020375 44393422005 45830671875 47722546875 54085553125 58412397375 60448559375 65284444125 73989036675 85900584375 97353995625 108807406875 123315061125 137492015625 143167640625 162256659375 181345678125 205525101875 221967110025 270427765625 292061986875 302242796875 326422220625 369945183375 429502921875 486769978125 544037034375 616575305625 811283296875 906728390625 1027625509375 1109835550125 1460309934375 1632111103125 1849725916875 2433849890625 2720185171875 3082876528125 5138127546875 5549177750625 7301549671875 8160555515625 9248629584375 15414382640625 27745888753125 46243147921875 138729443765625
- Sum of all divisors σ(n): 286615675022400
- Sum of proper divisors (its aliquot sum) s(n): 147886231256775
- 138729443765625 is an abundant number, because the sum of its proper divisors (147886231256775) is greater than itself. Its abundance is 9156787491150
Bases of 138729443765625
- Binary: 111111000101100011101110011011100101101011110012
- Hexadecimal: 0x7E2C77372D79
- Base-36: 1D6BFCXH89
Squares and roots of 138729443765625
- 138729443765625 squared (1387294437656252) is 19245858567519709179931640625
- 138729443765625 cubed (1387294437656253) is 2669967253863897611811180622867584228515625
-
The
square root of 138729443765625 is 11778346.3935148807 -
The
cube root of 138729443765625 is 51767.3835214661
Scales and comparisons
How big is 138729443765625?- 138,729,443,765,625 seconds is equal to 4,411,167 years, 10 weeks, 9 hours, 33 minutes, 45 seconds.
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To count from 1 to 138,729,443,765,625 would take you about eleven million, twenty-seven thousand, nine hundred seventeen 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 138729443765625 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138729443765625
- 138729443765625 backwards is 526567344927831
- The number of decimal digits it has is: 15
- The sum of 138729443765625's digits is 72
- More coming soon!
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