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14134391964 = 22327115098987
BaseRepresentation
bin11010010100111100…
…11011010010011100
31100111001100111200200
431022132123102130
5212421401020324
610254313023500
71010156230560
oct151236332234
940431314620
1014134391964
115aa354a980
1228a56b4b90
131443404754
1498129b6a0
1557ad2cec9
hex34a79b49c

14134391964 has 72 divisors (see below), whose sum is σ = 44544759168. Its totient is φ = 3671269920.

The previous prime is 14134391951. The next prime is 14134391969. The reversal of 14134391964 is 46919343141.

14134391964 is a `hidden beast` number, since 1 + 413 + 43 + 9 + 196 + 4 = 666.

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 (14134391969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2546722 + ... + 2552265.

Almost surely, 214134391964 is an apocalyptic number.

14134391964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14134391964 is an abundant number, since it is smaller than the sum of its proper divisors (30410367204).

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

14134391964 is a wasteful number, since it uses less digits than its factorization.

14134391964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099015 (or 5099010 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

It can be divided in two parts, 1413439 and 1964, that added together give a triangular number (1415403 = T1682).

The spelling of 14134391964 in words is "fourteen billion, one hundred thirty-four million, three hundred ninety-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 5098987 10197974 15296961 20395948 30593922 35692909 45890883 56088857 61187844 71385818 91781766 107078727 112177714 142771636 168266571 183563532 214157454 224355428 321236181 336533142 392621999 428314908 504799713 642472362 673066284 785243998 1009599426 1177865997 1284944724 1570487996 2019198852 2355731994 3533597991 4711463988 7067195982 14134391964