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404313131241 = 32431104231279
BaseRepresentation
bin1011110001000101111…
…00001100100011101001
31102122121021111010202100
411320202330030203221
523111013130144431
6505423333324013
741132153624445
oct5704274144351
91378537433670
10404313131241
11146517249778
1266437796609
132c1850a76c6
14157d6d47825
15a7b53c34e6
hex5e22f0c8e9

404313131241 has 12 divisors (see below), whose sum is σ = 585362868480. Its totient is φ = 268916697240.

The previous prime is 404313131231. The next prime is 404313131251. The reversal of 404313131241 is 142131313404.

404313131241 is a `hidden beast` number, since 404 + 3 + 1 + 3 + 13 + 1 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (404313131231) and next prime (404313131251).

It is not a de Polignac number, because 404313131241 - 27 = 404313131113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404313131221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52111761 + ... + 52119518.

It is an arithmetic number, because the mean of its divisors is an integer number (48780239040).

Almost surely, 2404313131241 is an apocalyptic number.

It is an amenable number.

404313131241 is a deficient number, since it is larger than the sum of its proper divisors (181049737239).

404313131241 is a wasteful number, since it uses less digits than its factorization.

404313131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104231716 (or 104231713 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 404313131241 its reverse (142131313404), we get a palindrome (546444444645).

The spelling of 404313131241 in words is "four hundred four billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 431 1293 3879 104231279 312693837 938081511 44923681249 134771043747 404313131241