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14363113464 = 2332728498241
BaseRepresentation
bin11010110000001101…
…11011011111111000
31101001222201202121100
431120012323133320
5213403424112324
610333123211400
71015634310240
oct153006733770
941058652540
1014363113464
11610066a807
12294a216b60
13147b906b0b
149a37d8b20
15590e5c4c9
hex3581bb7f8

14363113464 has 48 divisors (see below), whose sum is σ = 44457257520. Its totient is φ = 4103746560.

The previous prime is 14363113411. The next prime is 14363113469. The reversal of 14363113464 is 46431136341.

14363113464 is a `hidden beast` number, since 1 + 4 + 3 + 631 + 13 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14363113469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14248617 + ... + 14249624.

It is an arithmetic number, because the mean of its divisors is an integer number (926192865).

Almost surely, 214363113464 is an apocalyptic number.

14363113464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14363113464 is an abundant number, since it is smaller than the sum of its proper divisors (30094144056).

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

14363113464 is a wasteful number, since it uses less digits than its factorization.

14363113464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28498260 (or 28498253 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 14363113464 in words is "fourteen billion, three hundred sixty-three million, one hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 28498241 56996482 85494723 113992964 170989446 199487687 227985928 256484169 341978892 398975374 512968338 598463061 683957784 797950748 1025936676 1196926122 1595901496 1795389183 2051873352 2393852244 3590778366 4787704488 7181556732 14363113464