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104224424422401 = 3211580491602489
BaseRepresentation
bin10111101100101010100011…
…110010110110110000000001
3111200000202110100011010111100
4113230222203302312300001
5102130103110123004101
61005400012315005013
730644652253233063
oct2754524362666001
9450022410133440
10104224424422401
113023336a508aa8
12b833484a39769
13462042346c79a
141ba46bbd8d733
15c0b1b30c9e86
hex5ecaa3cb6c01

104224424422401 has 6 divisors (see below), whose sum is σ = 150546390832370. Its totient is φ = 69482949614928.

The previous prime is 104224424422399. The next prime is 104224424422409.

104224424422401 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 4 + 4 + 244 + 2 + 2 + 401 = 666.

104224424422401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 88359530000625 + 15864894421776 = 9399975^2 + 3983076^2 .

It is not a de Polignac number, because 104224424422401 - 21 = 104224424422399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104224424422409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5790245801236 + ... + 5790245801253.

Almost surely, 2104224424422401 is an apocalyptic number.

It is an amenable number.

104224424422401 is a deficient number, since it is larger than the sum of its proper divisors (46321966409969).

104224424422401 is a wasteful number, since it uses less digits than its factorization.

104224424422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580491602495 (or 11580491602492 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 104224424422401 in words is "one hundred four trillion, two hundred twenty-four billion, four hundred twenty-four million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 11580491602489 34741474807467 104224424422401