Base | Representation |
---|---|
bin | 100010000101010111111… |
… | …011001111000110000000 |
3 | 22021220201012100010220021 |
4 | 202011113323033012000 |
5 | 301333342433304212 |
6 | 4552001235223224 |
7 | 331135462151032 |
oct | 42052773170600 |
9 | 8256635303807 |
10 | 2342232322432 |
11 | 8233760a1aa2 |
12 | 319b34a47b14 |
13 | 13cb43a82c82 |
14 | 81516851c52 |
15 | 40dd8127307 |
hex | 22157ecf180 |
2342232322432 has 64 divisors (see below), whose sum is σ = 4840981750800. Its totient is φ = 1127473629184.
The previous prime is 2342232322373. The next prime is 2342232322483.
2342232322432 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378858 + ... + 2197270.
Almost surely, 22342232322432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2342232322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420490875400).
2342232322432 is an abundant number, since it is smaller than the sum of its proper divisors (2498749428368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342232322432 is a wasteful number, since it uses less digits than its factorization.
2342232322432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1818803 (or 1818791 counting only the distinct ones).
The product of its digits is 165888, while the sum is 34.
The spelling of 2342232322432 in words is "two trillion, three hundred forty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, four hundred thirty-two".
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