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42432433423424 = 261160273342931
BaseRepresentation
bin10011010010111100100100…
…00111110000010001000000
312120020111112020112212000222
421221132102013300101000
521030203110424022144
6230125105114202212
711636433154022432
oct1151362207602100
9176214466485028
1042432433423424
111257a548502320
124913834123368
131a8a490a21175
14a69a52816652
154d8b71b962ee
hex2697921f0440

42432433423424 has 28 divisors (see below), whose sum is σ = 91856574628368. Its totient is φ = 19287469737600.

The previous prime is 42432433423423. The next prime is 42432433423451.

42432433423424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424324334234242 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42432433423423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30136670762 + ... + 30136672169.

Almost surely, 242432433423424 is an apocalyptic number.

42432433423424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42432433423424 is an abundant number, since it is smaller than the sum of its proper divisors (49424141204944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42432433423424 is a wasteful number, since it uses less digits than its factorization.

42432433423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60273342954 (or 60273342944 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 4243243 and 3423424, that added together give a palindrome (7666667).

The spelling of 42432433423424 in words is "forty-two trillion, four hundred thirty-two billion, four hundred thirty-three million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 60273342931 120546685862 241093371724 482186743448 663006772241 964373486896 1326013544482 1928746973792 2652027088964 3857493947584 5304054177928 10608108355856 21216216711712 42432433423424