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40162135024 = 2411792888531
BaseRepresentation
bin100101011001110110…
…011000101111110000
310211122222010211221101
4211121312120233300
51124223001310044
630241125534144
72621153341444
oct453166305760
9124588124841
1040162135024
111603a529530
12794a274354
133a3083ca4b
141d2dd34824
1510a0d61cd4
hex959d98bf0

40162135024 has 40 divisors (see below), whose sum is σ = 85962712320. Its totient is φ = 18024427200.

The previous prime is 40162134949. The next prime is 40162135031. The reversal of 40162135024 is 42053126104.

It is a super-2 number, since 2×401621350242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40162134983 and 40162135001.

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 7 ways as a sum of consecutive naturals, for example, 1430362 + ... + 1458169.

It is an arithmetic number, because the mean of its divisors is an integer number (2149067808).

Almost surely, 240162135024 is an apocalyptic number.

40162135024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40162135024 is an abundant number, since it is smaller than the sum of its proper divisors (45800577296).

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

40162135024 is a wasteful number, since it uses less digits than its factorization.

40162135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888629 (or 2888623 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

It can be divided in two parts, 401621 and 35024, that added together give a triangular number (436645 = T934).

The spelling of 40162135024 in words is "forty billion, one hundred sixty-two million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904 2888531 5777062 11554124 23108248 31773841 46216496 63547682 127095364 228193949 254190728 456387898 508381456 912775796 1825551592 2510133439 3651103184 5020266878 10040533756 20081067512 40162135024