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74144433444147 = 3311249644557051
BaseRepresentation
bin10000110110111100011000…
…100111100001010100110011
3100201112010202001022122112000
4100312330120213201110303
534204240244430203042
6421405252115305043
721421521115455453
oct2066743047412463
9321463661278460
1074144433444147
1121696528813060
1283958308ab183
13324aa36a36c51
141444877135d63
15888a00a1574c
hex436f189e1533

74144433444147 has 16 divisors (see below), whose sum is σ = 119829387384960. Its totient is φ = 44936020269000.

The previous prime is 74144433444043. The next prime is 74144433444173.

74144433444147 is a `hidden beast` number, since 7 + 4 + 14 + 4 + 43 + 3 + 444 + 147 = 666.

74144433444147 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74144433444147 - 223 = 74144425055539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74144433444093 and 74144433444102.

It is not an unprimeable number, because it can be changed into a prime (74144433444547) 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 15 ways as a sum of consecutive naturals, for example, 124822278229 + ... + 124822278822.

It is an arithmetic number, because the mean of its divisors is an integer number (7489336711560).

Almost surely, 274144433444147 is an apocalyptic number.

74144433444147 is a deficient number, since it is larger than the sum of its proper divisors (45684953940813).

74144433444147 is a wasteful number, since it uses less digits than its factorization.

74144433444147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249644557071 (or 249644557065 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 54.

The spelling of 74144433444147 in words is "seventy-four trillion, one hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 33 99 297 249644557051 748933671153 2246801013459 2746090127561 6740403040377 8238270382683 24714811148049 74144433444147