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42423632424 = 2332619659297
BaseRepresentation
bin100111100000101001…
…010100001000101000
311001111120112211011100
4213200221110020220
51143340422214144
631253353401400
73031203632355
oct474051241050
9131446484140
1042423632424
1116aa0041a48
12827b709260
134001223aa4
1420a641d62c
15118467a269
hex9e0a54228

42423632424 has 48 divisors (see below), whose sum is σ = 116780912820. Its totient is φ = 13909386240.

The previous prime is 42423632423. The next prime is 42423632437.

42423632424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 31085216100 + 11338416324 = 176310^2 + 106482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42423632423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4825257 + ... + 4834040.

Almost surely, 242423632424 is an apocalyptic number.

It is an amenable number.

42423632424 is an abundant number, since it is smaller than the sum of its proper divisors (74357280396).

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

42423632424 is a wasteful number, since it uses less digits than its factorization.

42423632424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659370 (or 9659363 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The spelling of 42423632424 in words is "forty-two billion, four hundred twenty-three million, six hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 9659297 19318594 28977891 38637188 57955782 77274376 86933673 115911564 173867346 231823128 347734692 589217117 695469384 1178434234 1767651351 2356868468 3535302702 4713736936 5302954053 7070605404 10605908106 14141210808 21211816212 42423632424