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404213304111399 = 34127122931972013
BaseRepresentation
bin101101111101000010011111…
…0011001111011000100100111
31222000012102012011021101110000
41123322010332121323010213
5410440112321323031044
63551405010044232343
7151066306330652316
oct13372047631730447
91860172164241400
10404213304111399
11107881999396252
12394032b583b6b3
13144711c6a44603
1471b605795827d
1531ae7b0531d69
hex16fa13e67b127

404213304111399 has 40 divisors (see below), whose sum is σ = 609074539983360. Its totient is φ = 267136135527744.

The previous prime is 404213304111389. The next prime is 404213304111431. The reversal of 404213304111399 is 993111403312404.

404213304111399 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 133 + 0 + 411 + 13 + 99 = 666.

It is not a de Polignac number, because 404213304111399 - 215 = 404213304078631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404213304111319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3343284 + ... + 28628729.

It is an arithmetic number, because the mean of its divisors is an integer number (15226863499584).

Almost surely, 2404213304111399 is an apocalyptic number.

404213304111399 is a deficient number, since it is larger than the sum of its proper divisors (204861235871961).

404213304111399 is a wasteful number, since it uses less digits than its factorization.

404213304111399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31973381 (or 31973372 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 404213304111399 in words is "four hundred four trillion, two hundred thirteen billion, three hundred four million, one hundred eleven thousand, three hundred ninety-nine".

Divisors: 1 3 9 27 81 127 381 1143 1229 3429 3687 10287 11061 33183 99549 156083 468249 1404747 4214241 12642723 31972013 95916039 287748117 863244351 2589733053 4060445651 12181336953 36544010859 39293603977 109632032577 117880811931 328896097731 353642435793 1060927307379 3182781922137 4990287705079 14970863115237 44912589345711 134737768037133 404213304111399