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235045631313 = 32473594633343
BaseRepresentation
bin1101101011100111001…
…1111011010101010001
3211110200201211012211100
43122321303323111101
512322333140200223
6255551203335013
722660435621143
oct3327163732521
9743621735740
10235045631313
1190756149769
1239678381469
131921ab2b91c
14b53a6a8c93
1561aa01a043
hex36b9cfb551

235045631313 has 48 divisors (see below), whose sum is σ = 348555018240. Its totient is φ = 152559947232.

The previous prime is 235045631297. The next prime is 235045631321. The reversal of 235045631313 is 313136540532.

235045631313 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 4 + 5 + 631 + 3 + 13 = 666.

It is not a de Polignac number, because 235045631313 - 24 = 235045631297 is a prime.

It is a super-2 number, since 2×2350456313132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (235045631323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70308120 + ... + 70311462.

It is an arithmetic number, because the mean of its divisors is an integer number (7261562880).

Almost surely, 2235045631313 is an apocalyptic number.

It is an amenable number.

235045631313 is a deficient number, since it is larger than the sum of its proper divisors (113509386927).

235045631313 is a wasteful number, since it uses less digits than its factorization.

235045631313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 235045631313 in words is "two hundred thirty-five billion, forty-five million, six hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 47 141 359 423 463 1077 1389 3231 3343 4167 10029 16873 21761 30087 50619 65283 151857 157121 166217 195849 471363 498651 1200137 1414089 1495953 1547809 3600411 4643427 7812199 10801233 13930281 23436597 56406439 70309791 72747023 169219317 218241069 507657951 555663431 654723207 1666990293 5000970879 26116181257 78348543771 235045631313