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404100123144 = 23316837505131
BaseRepresentation
bin1011110000101100011…
…11101000101000001000
31102122001102200012120120
411320112033220220020
523110044112420034
6505350244023240
741123656241544
oct5702617505010
91378042605516
10404100123144
11146417a91623
1266398391b20
132c14cc17603
14157b693aa24
15a7a1849c49
hex5e163e8a08

404100123144 has 16 divisors (see below), whose sum is σ = 1010250307920. Its totient is φ = 134700041040.

The previous prime is 404100123139. The next prime is 404100123199. The reversal of 404100123144 is 441321001404.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 16837505131 = 404100123144 / (4 + 0 + 4 + 1 + 0 + 0 + 1 + 2 + 3 + 1 + 4 + 4).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8418752542 + ... + 8418752589.

It is an arithmetic number, because the mean of its divisors is an integer number (63140644245).

Almost surely, 2404100123144 is an apocalyptic number.

It is an amenable number.

404100123144 is an abundant number, since it is smaller than the sum of its proper divisors (606150184776).

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

404100123144 is a wasteful number, since it uses less digits than its factorization.

404100123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16837505140 (or 16837505136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 404100123144 its reverse (441321001404), we get a palindrome (845421124548).

The spelling of 404100123144 in words is "four hundred four billion, one hundred million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 16837505131 33675010262 50512515393 67350020524 101025030786 134700041048 202050061572 404100123144