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14013155013 = 3111325634463
BaseRepresentation
bin11010000110011111…
…11100011011000101
31100011121020000212020
431003033330123011
5212144331430023
610234302313353
71004154565224
oct150317743305
940147200766
1014013155013
115a41073850
122870b88859
131424266800
1496d13ccbb
15570380de3
hex3433fc6c5

14013155013 has 48 divisors (see below), whose sum is σ = 22115441664. Its totient is φ = 7823849280.

The previous prime is 14013154979. The next prime is 14013155017. The reversal of 14013155013 is 31055131041.

It is not a de Polignac number, because 14013155013 - 218 = 14012892869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013155017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3137620 + ... + 3142082.

It is an arithmetic number, because the mean of its divisors is an integer number (460738368).

Almost surely, 214013155013 is an apocalyptic number.

14013155013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14013155013 is a deficient number, since it is larger than the sum of its proper divisors (8102286651).

14013155013 is a wasteful number, since it uses less digits than its factorization.

14013155013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 14013155013 its reverse (31055131041), we get a palindrome (45068286054).

The spelling of 14013155013 in words is "fourteen billion, thirteen million, one hundred fifty-five thousand, thirteen".

Divisors: 1 3 11 13 33 39 143 169 429 507 563 1689 1859 4463 5577 6193 7319 13389 18579 21957 49093 58019 80509 95147 147279 174057 241527 285441 638209 754247 1046617 1914627 2262741 2512669 3139851 7538007 8296717 24890151 27639359 32664697 82918077 97994091 359311667 424641061 1077935001 1273923183 4671051671 14013155013