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404202424202404 = 22138173172053621
BaseRepresentation
bin101101111100111101011010…
…1111010010111010010100100
31222000011101002220210202002121
41123321322311322113102210
5410434423031043434104
63551400010310115324
7151065442610160112
oct13371726572272244
91860141086722077
10404202424202404
11107878315a21623
123940117a04bb44
1314470181976439
1471b57049c8ab2
1531ae3752b5254
hex16f9eb5e974a4

404202424202404 has 12 divisors (see below), whose sum is σ = 707866446739228. Its totient is φ = 201954867991200.

The previous prime is 404202424202387. The next prime is 404202424202429.

404202424202404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 184442257226304 + 219760166976100 = 13580952^2 + 14824310^2 .

It is a super-2 number, since 2×4042024242024042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404202424202404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36586021287 + ... + 36586032334.

Almost surely, 2404202424202404 is an apocalyptic number.

It is an amenable number.

404202424202404 is a deficient number, since it is larger than the sum of its proper divisors (303664022536824).

404202424202404 is a wasteful number, since it uses less digits than its factorization.

404202424202404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73172055006 (or 73172055004 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

The spelling of 404202424202404 in words is "four hundred four trillion, two hundred two billion, four hundred twenty-four million, two hundred two thousand, four hundred four".

Divisors: 1 2 4 1381 2762 5524 73172053621 146344107242 292688214484 101050606050601 202101212101202 404202424202404