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42040404024 = 23310117343401
BaseRepresentation
bin100111001001110011…
…011010100000111000
311000111212102210121220
4213021303122200320
51142044320412044
631151343432040
73015541352403
oct471163324070
9130455383556
1042040404024
1116913791863
1281932b5620
133c6ca05318
14206b582d3a
151160bcb019
hex9c9cda838

42040404024 has 32 divisors (see below), whose sum is σ = 106141620240. Its totient is φ = 13874720000.

The previous prime is 42040404023. The next prime is 42040404047.

42040404024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42040403985 and 42040404003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040404023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8669277 + ... + 8674124.

Almost surely, 242040404024 is an apocalyptic number.

It is an amenable number.

42040404024 is an abundant number, since it is smaller than the sum of its proper divisors (64101216216).

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

42040404024 is a wasteful number, since it uses less digits than its factorization.

42040404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17343511 (or 17343507 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 42040404024 in words is "forty-two billion, forty million, four hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 17343401 34686802 52030203 69373604 104060406 138747208 208120812 416241624 1751683501 3503367002 5255050503 7006734004 10510101006 14013468008 21020202012 42040404024