| Base | Representation |
|---|---|
| bin | 111100101111111111… |
| … | …1111111101000000000 |
| 3 | 110110201221210212120010 |
| 4 | 1321133333333220000 |
| 5 | 4114140131130310 |
| 6 | 135533214344520 |
| 7 | 12265624362513 |
| oct | 1713777775000 |
| 9 | 413657725503 |
| 10 | 130459630080 |
| 11 | 50367072aaa |
| 12 | 2134a7bb140 |
| 13 | c3c11938b0 |
| 14 | 6458552d7a |
| 15 | 35d83a5320 |
| hex | 1e5ffffa00 |
130459630080 has 640 divisors, whose sum is σ = 478331884800. Its totient is φ = 30066868224.
The previous prime is 130459630069. The next prime is 130459630111. The reversal of 130459630080 is 80036954031.
130459630080 = T1 + T2 + ... + T9215.
130459630080 is a nontrivial binomial coefficient, being equal to C(9217, 3).
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1304596300802 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 18434 × 18430 × 384.
It is an unprimeable number.
It is the 9215-th tetrahedral number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184004766 + ... + 184005474.
It is an arithmetic number, because the mean of its divisors is an integer number (747393570).
Almost surely, 2130459630080 is an apocalyptic number.
130459630080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130459630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239165942400).
130459630080 is an abundant number, since it is smaller than the sum of its proper divisors (347872254720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130459630080 is a wasteful number, since it uses less digits than its factorization.
130459630080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 864 (or 848 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 39.
The spelling of 130459630080 in words is "one hundred thirty billion, four hundred fifty-nine million, six hundred thirty thousand, eighty".
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