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40422496590 = 23257273307409
BaseRepresentation
bin100101101001010111…
…100101100101001110
310212100010001120212100
4211221113211211032
51130241124342330
630323030215530
72630464360200
oct455127454516
9125303046770
1040422496590
1116163499a83
127a014b45a6
133a7276c748
141d5674a770
1510b8b41060
hex9695e594e

40422496590 has 288 divisors, whose sum is σ = 124639875360. Its totient is φ = 9060968448.

The previous prime is 40422496577. The next prime is 40422496601. The reversal of 40422496590 is 9569422404.

40422496590 is a `hidden beast` number, since 40 + 422 + 49 + 65 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 98832306 + ... + 98832714.

It is an arithmetic number, because the mean of its divisors is an integer number (432777345).

Almost surely, 240422496590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40422496590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62319937680).

40422496590 is an abundant number, since it is smaller than the sum of its proper divisors (84217378770).

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

40422496590 is a wasteful number, since it uses less digits than its factorization.

40422496590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40422496590 in words is "forty billion, four hundred twenty-two million, four hundred ninety-six thousand, five hundred ninety".