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307134314809 = 7241219312
BaseRepresentation
bin1000111100000101010…
…00011011100100111001
31002100202201101202210221
410132002220123210321
520013002341033214
6353032350140041
731122034413100
oct4360250334471
91070681352727
10307134314809
1110928934a643
124b6367b1621
1322c68c0126a
1410c18863037
157ec8ba9e24
hex4782a1b939

307134314809 has 27 divisors (see below), whose sum is σ = 366395090223. Its totient is φ = 256704050400.

The previous prime is 307134314761. The next prime is 307134314843. The reversal of 307134314809 is 908413431703.

The square root of 307134314809 is 554197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14799452409 + 292334862400 = 121653^2 + 540680^2 .

It is not a de Polignac number, because 307134314809 - 225 = 307100760377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (307134315809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159053574 + ... + 159055504.

Almost surely, 2307134314809 is an apocalyptic number.

307134314809 is the 554197-th square number.

307134314809 is the 277099-th centered octagonal number.

It is an amenable number.

307134314809 is a deficient number, since it is larger than the sum of its proper divisors (59260775414).

307134314809 is an frugal number, since it uses more digits than its factorization.

307134314809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 307134314809 in words is "three hundred seven billion, one hundred thirty-four million, three hundred fourteen thousand, eight hundred nine".

Divisors: 1 7 41 49 287 1681 1931 2009 11767 13517 79171 82369 94619 554197 3246011 3728761 3879379 22722077 26101327 152879201 159054539 182709289 1070154407 6268047241 7491080849 43876330687 307134314809