Base | Representation |
---|---|
bin | 10011000111000010100001… |
… | …00010110101001010111000 |
3 | 12111210101111211011020010010 |
4 | 21203201100202311022320 |
5 | 21002002220200111044 |
6 | 225213124232021520 |
7 | 11565040554435651 |
oct | 1143412042651270 |
9 | 174711454136103 |
10 | 42023311332024 |
11 | 12431a93779710 |
12 | 4868495b318a0 |
13 | 1a5aa20555a09 |
14 | a53d20d3a528 |
15 | 4cd1c9505bb9 |
hex | 2638508b52b8 |
42023311332024 has 64 divisors (see below), whose sum is σ = 114631502532480. Its totient is φ = 12731839920000.
The previous prime is 42023311332017. The next prime is 42023311332059.
It is a happy number.
42023311332024 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 42023311331982 and 42023311332000.
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 15 ways as a sum of consecutive naturals, for example, 14256082 + ... + 16949409.
It is an arithmetic number, because the mean of its divisors is an integer number (1791117227070).
Almost surely, 242023311332024 is an apocalyptic number.
42023311332024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
42023311332024 is an abundant number, since it is smaller than the sum of its proper divisors (72608191200456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42023311332024 is a wasteful number, since it uses less digits than its factorization.
42023311332024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31210612 (or 31210608 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 30.
It can be divided in two parts, 4202331 and 1332024, that added together give a palindrome (5534355).
The spelling of 42023311332024 in words is "forty-two trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, twenty-four".
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