| Base | Representation |
|---|---|
| bin | 10011010001110101111110… |
| … | …11111111100000000000000 |
| 3 | 12120002212201101110010020100 |
| 4 | 21220322333133330000000 |
| 5 | 21024043004222011000 |
| 6 | 230055441031242400 |
| 7 | 11633622136351542 |
| oct | 1150727737740000 |
| 9 | 176085641403210 |
| 10 | 42394540032000 |
| 11 | 12565472696502 |
| 12 | 4908419819400 |
| 13 | 1a86a32231770 |
| 14 | a67c99d35692 |
| 15 | 4d7ba50cea00 |
| hex | 268ebf7fc000 |
42394540032000 has 720 divisors, whose sum is σ = 164599774440192. Its totient is φ = 10435520102400.
The previous prime is 42394540031993. The next prime is 42394540032037. The reversal of 42394540032000 is 23004549324.
42394540032000 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 45 + 400 + 3 + 200 + 0 = 666.
42394540032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×423945400320002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239527537 + ... + 239704463.
Almost surely, 242394540032000 is an apocalyptic number.
42394540032000 is a gapful number since it is divisible by the number (40) 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 42394540032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82299887220096).
42394540032000 is an abundant number, since it is smaller than the sum of its proper divisors (122205234408192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42394540032000 is a wasteful number, since it uses less digits than its factorization.
42394540032000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176989 (or 176950 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The spelling of 42394540032000 in words is "forty-two trillion, three hundred ninety-four billion, five hundred forty million, thirty-two thousand".
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