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404014420531404 = 223247923429275141
BaseRepresentation
bin101101111011100101111000…
…0000001010001100011001100
31221222111101211121201201021200
41123313023300001101203030
5410423333013124001104
63551133355035025500
7151046035654300164
oct13367136001214314
91858441747651250
10404014420531404
1110780560a834a11
123939084bb9b290
131445851cb04bb7
1471aa58bc4b5a4
1531a95200d8b39
hex16f72f00518cc

404014420531404 has 36 divisors (see below), whose sum is σ = 1023390738202560. Its totient is φ = 134390322203040.

The previous prime is 404014420531339. The next prime is 404014420531471. The reversal of 404014420531404 is 404135024410404.

404014420531404 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 44 + 205 + 3 + 1 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4040144205314042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 11714620327 + ... + 11714654814.

Almost surely, 2404014420531404 is an apocalyptic number.

It is an amenable number.

404014420531404 is an abundant number, since it is smaller than the sum of its proper divisors (619376317671156).

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

404014420531404 is a wasteful number, since it uses less digits than its factorization.

404014420531404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23429275630 (or 23429275625 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 404014420531404 its reverse (404135024410404), we get a palindrome (808149444941808).

The spelling of 404014420531404 in words is "four hundred four trillion, fourteen billion, four hundred twenty million, five hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2874 4311 5748 8622 17244 23429275141 46858550282 70287825423 93717100564 140575650846 210863476269 281151301692 421726952538 843453905076 11222622792539 22445245585078 33667868377617 44890491170156 67335736755234 101003605132851 134671473510468 202007210265702 404014420531404