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42131022400404 = 22337293751937433
BaseRepresentation
bin10011001010001011001001…
…00111111100101110010100
312112011200112101112102121000
421211011210213330232110
521010233313213303104
6225334420254023300
711605603003424250
oct1145054447745624
9175150471472530
1042131022400404
11124737368785a3
1248853361a7b30
131a67c277846c2
14a5921c133260
154d0dd06b6639
hex2651649fcb94

42131022400404 has 192 divisors, whose sum is σ = 132627431462400. Its totient is φ = 11308233194496.

The previous prime is 42131022400399. The next prime is 42131022400417. The reversal of 42131022400404 is 40400422013124.

42131022400404 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 10 + 2 + 240 + 0 + 404 = 666.

42131022400404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25157529 + ... + 26779904.

It is an arithmetic number, because the mean of its divisors is an integer number (690767872200).

Almost surely, 242131022400404 is an apocalyptic number.

It is an amenable number.

42131022400404 is an abundant number, since it is smaller than the sum of its proper divisors (90496409061996).

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

42131022400404 is a wasteful number, since it uses less digits than its factorization.

42131022400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51937519 (or 51937511 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42131022400404 its reverse (40400422013124), we get a palindrome (82531444413528).

The spelling of 42131022400404 in words is "forty-two trillion, one hundred thirty-one billion, twenty-two million, four hundred thousand, four hundred four".