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14903295231 = 31137107114073
BaseRepresentation
bin11011110000100111…
…00011110011111111
31102110122011211200110
431320103203303333
5221010220421411
610502501201103
71035213630216
oct157023436377
942418154613
1014903295231
116358581320
122a7b100193
1315367ba3b6
14a1545007d
155c35b12a6
hex3784e3cff

14903295231 has 32 divisors (see below), whose sum is σ = 22471665408. Its totient is φ = 8705975040.

The previous prime is 14903295203. The next prime is 14903295247. The reversal of 14903295231 is 13259230941.

It is not a de Polignac number, because 14903295231 - 213 = 14903287039 is a prime.

It is a super-3 number, since 3×149032952313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 14903295231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14903295131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73611 + ... + 187683.

It is an arithmetic number, because the mean of its divisors is an integer number (702239544).

Almost surely, 214903295231 is an apocalyptic number.

14903295231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14903295231 is a deficient number, since it is larger than the sum of its proper divisors (7568370177).

14903295231 is a wasteful number, since it uses less digits than its factorization.

14903295231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114231.

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 14903295231 in words is "fourteen billion, nine hundred three million, two hundred ninety-five thousand, two hundred thirty-one".

Divisors: 1 3 11 33 37 107 111 321 407 1177 1221 3531 3959 11877 43549 114073 130647 342219 1254803 3764409 4220701 12205811 12662103 36617433 46427711 134263921 139283133 402791763 451615007 1354845021 4967765077 14903295231