Base | Representation |
---|---|
bin | 11101101000111010101011… |
… | …010111010101100110000000 |
3 | 122002112211101022101020012200 |
4 | 131220322223113111212000 |
5 | 114041214302402032141 |
6 | 1141124153210553200 |
7 | 36312563462602320 |
oct | 3550725327254600 |
9 | 562484338336180 |
10 | 130355132455296 |
11 | 38598334a13171 |
12 | 12753846138800 |
13 | 579758957a5b8 |
14 | 2429317531280 |
15 | 1010c81eb9ab6 |
hex | 768eab5d5980 |
130355132455296 has 384 divisors, whose sum is σ = 445081594651200. Its totient is φ = 35830199107584.
The previous prime is 130355132455241. The next prime is 130355132455351. The reversal of 130355132455296 is 692554231553031.
130355132455296 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 51 + 32 + 4 + 552 + 9 + 6 = 666.
130355132455296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (130355132455241) and next prime (130355132455351).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×1303551324552963 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63771946 + ... + 65784278.
Almost surely, 2130355132455296 is an apocalyptic number.
130355132455296 is a gapful number since it is divisible by the number (16) 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 130355132455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222540797325600).
130355132455296 is an abundant number, since it is smaller than the sum of its proper divisors (314726462195904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130355132455296 is a wasteful number, since it uses less digits than its factorization.
130355132455296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2012666 (or 2012651 counting only the distinct ones).
The product of its (nonzero) digits is 14580000, while the sum is 54.
The spelling of 130355132455296 in words is "one hundred thirty trillion, three hundred fifty-five billion, one hundred thirty-two million, four hundred fifty-five thousand, two hundred ninety-six".
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