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3904135443 = 36133197137
BaseRepresentation
bin1110100010110100…
…0110000100010011
3101002002022122000000
43220231012010103
530443424313233
61443223101043
7165514414035
oct35055060423
911062278000
103904135443
11172386781a
1290b5a1783
134a2ac8320
1429071bc55
1517cb3ad13
hexe8b46113

3904135443 has 112 divisors (see below), whose sum is σ = 6622215936. Its totient is φ = 2284277760.

The previous prime is 3904135439. The next prime is 3904135453. The reversal of 3904135443 is 3445314093.

It is not a de Polignac number, because 3904135443 - 22 = 3904135439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3904135398 and 3904135407.

It is not an unprimeable number, because it can be changed into a prime (3904135453) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28497271 + ... + 28497407.

It is an arithmetic number, because the mean of its divisors is an integer number (59126928).

Almost surely, 23904135443 is an apocalyptic number.

3904135443 is a deficient number, since it is larger than the sum of its proper divisors (2718080493).

3904135443 is a wasteful number, since it uses less digits than its factorization.

3904135443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3904135443 is about 62483.0812540483. The cubic root of 3904135443 is about 1574.6170824220.

The spelling of 3904135443 in words is "three billion, nine hundred four million, one hundred thirty-five thousand, four hundred forty-three".

Divisors: 1 3 9 13 27 31 39 81 93 97 117 137 243 279 291 351 403 411 729 837 873 1053 1209 1233 1261 1781 2511 2619 3007 3159 3627 3699 3783 4247 5343 7533 7857 9021 9477 10881 11097 11349 12741 13289 16029 22599 23571 27063 32643 33291 34047 38223 39091 39867 48087 55211 70713 81189 97929 99873 102141 114669 117273 119601 144261 165633 172757 243567 293787 306423 344007 351819 358803 411959 432783 496899 518271 730701 919269 1032021 1055457 1076409 1235877 1298349 1490697 1554813 2192103 3096063 3166371 3229227 3707631 4472091 4664439 5355467 9499113 9687681 11122893 13416273 13993317 16066401 28497339 33368679 40248819 41979951 48199203 100106037 125939853 144597609 300318111 433792827 1301378481 3904135443