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230509334544 = 2436763710081
BaseRepresentation
bin1101011010101101101…
…1010101000000010000
3211000222120222110111220
43112223123111000100
512234040342201134
6253521115005040
722440144005136
oct3265333250020
9730876873456
10230509334544
1189838567875
1238811139780
1318977087058
14b22a031756
155ee1b5c149
hex35ab6d5010

230509334544 has 40 divisors (see below), whose sum is σ = 595571336352. Its totient is φ = 76824975360.

The previous prime is 230509334521. The next prime is 230509334551. The reversal of 230509334544 is 445433905032.

It is a junction number, because it is equal to n+sod(n) for n = 230509334496 and 230509334505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30417 + ... + 679664.

Almost surely, 2230509334544 is an apocalyptic number.

230509334544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230509334544 is an abundant number, since it is smaller than the sum of its proper divisors (365062001808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230509334544 is a wasteful number, since it uses less digits than its factorization.

230509334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716855 (or 716849 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 230509334544 in words is "two hundred thirty billion, five hundred nine million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 6763 13526 20289 27052 40578 54104 81156 108208 162312 324624 710081 1420162 2130243 2840324 4260486 5680648 8520972 11361296 17041944 34083888 4802277803 9604555606 14406833409 19209111212 28813666818 38418222424 57627333636 76836444848 115254667272 230509334544