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904434223431 = 317167449236507
BaseRepresentation
bin11010010100101000111…
…10110000100101000111
310012110111120112222020210
431022110132300211013
5104304240130122211
61531254044130503
7122225503024434
oct15122436604507
93173446488223
10904434223431
113196285a4562
12127351236a33
136739834255b
1431abc28cb8b
15187d69759a6
hexd2947b0947

904434223431 has 32 divisors (see below), whose sum is σ = 1287360345600. Its totient is φ = 562831302656.

The previous prime is 904434223393. The next prime is 904434223439. The reversal of 904434223431 is 134322434409.

It is a cyclic number.

It is not a de Polignac number, because 904434223431 - 233 = 895844288839 is a prime.

It is a super-2 number, since 2×9044342234312 (a number of 25 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 904434223431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904434223439) 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 31 ways as a sum of consecutive naturals, for example, 3705880 + ... + 3942386.

It is an arithmetic number, because the mean of its divisors is an integer number (40230010800).

Almost surely, 2904434223431 is an apocalyptic number.

904434223431 is a deficient number, since it is larger than the sum of its proper divisors (382926122169).

904434223431 is a wasteful number, since it uses less digits than its factorization.

904434223431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237143.

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 904434223431 in words is "nine hundred four billion, four hundred thirty-four million, two hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 17 51 167 449 501 1347 2839 7633 8517 22899 74983 224949 236507 709521 1274711 3824133 4020619 12061857 39496669 106191643 118490007 318574929 671443373 1805257931 2014330119 5415773793 17734004381 53202013143 301478074477 904434223431