3468070125
3,468,070,125 is an odd composite number composed of six prime numbers multiplied together.
3468070125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3468070125:
32 × 53 × 132 × 17 × 29 × 37
(3 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 29 × 37)See below for interesting mathematical facts about the number 3468070125 from the Numbermatics database.
Names of 3468070125
- Cardinal: 3468070125 can be written as Three billion, four hundred sixty-eight million, seventy thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.468070125 × 109
Factors of 3468070125
Divisors of 3468070125
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 9 13 15 17 25 29 37 39 45 51 65 75 85 87 111 117 125 145 153 169 185 195 221 225 255 261 325 333 375 377 425 435 481 493 507 555 585 629 663 725 765 845 925 975 1073 1105 1125 1131 1275 1305 1443 1479 1521 1625 1665 1885 1887 1989 2125 2175 2405 2465 2535 2775 2873 2925 3145 3219 3315 3393 3625 3825 4225 4329 4437 4625 4875 4901 5365 5525 5655 5661 6253 6375 6409 6525 7215 7395 7605 8177 8325 8619 9425 9435 9657 9945 10875 12025 12325 12675 13875 13949 14365 14625 14703 15725 16095 16575 16965 18241 18759 19125 19227 21125 21645 22185 24505 24531 25857 26825 27625 28275 28305 31265 32045 32625 36075 36975 38025 40885 41625 41847 43095 44109 47125 47175 48285 49725 54723 56277 57681 60125 61625 63375 69745 71825 73515 73593 78625 80475 82875 83317 84825 91205 93795 96135 106301 108225 110925 122525 122655 125541 129285 134125 141375 141525 156325 160225 164169 180375 181337 184875 190125 204425 209235 215475 220545 235875 237133 241425 248625 249951 273615 281385 288405 318903 348725 359125 367575 367965 402375 416585 424125 456025 468975 480675 531505 541125 544011 554625 612625 613275 627705 646425 707625 711399 749853 781625 801125 820845 906685 956709 1022125 1046175 1077375 1102725 1185665 1207125 1249755 1368075 1406925 1442025 1594515 1632033 1743625 1837875 1839825 2082925 2134197 2280125 2344875 2403375 2657525 2720055 3066375 3082729 3138525 3232125 3556995 3749265 4104225 4533425 4783545 5230875 5513625 5928325 6248775 6840375 7034625 7210125 7972575 8160165 9199125 9248187 10414625 10670985 13287625 13600275 15413645 15692625 17784975 18746325 20521125 22667125 23917725 27744561 29641625 31243875 39862875 40800825 46240935 53354925 68001375 77068225 88924875 93731625 119588625 138722805 204004125 231204675 266774625 385341125 693614025 1156023375 3468070125
- Sum of all divisors σ(n): 7615464480
- Sum of proper divisors (its aliquot sum) s(n): 4147394355
- 3468070125 is an abundant number, because the sum of its proper divisors (4147394355) is greater than itself. Its abundance is 679324230
Bases of 3468070125
- Binary: 110011101011011010001100111011012
- Hexadecimal: 0xCEB68CED
- Base-36: 1LCSS19
Squares and roots of 3468070125
- 3468070125 squared (34680701252) is 12027510391917515625
- 3468070125 cubed (34680701253) is 41712249468336177403283203125
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The
square root of 3468070125 is 58890.3228467971 -
The
cube root of 3468070125 is 1513.6633310329
Scales and comparisons
How big is 3468070125?- 3,468,070,125 seconds is equal to 110 years, 14 weeks, 1 day, 16 hours, 48 minutes, 45 seconds.
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To count from 1 to 3,468,070,125 would take you about two hundred twenty 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 3468070125 cubic inches would be around 126.1 feet tall.
Recreational maths with 3468070125
- 3468070125 backwards is 5210708643
- The number of decimal digits it has is: 10
- The sum of 3468070125's digits is 36
- More coming soon!
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