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14200400643 = 3112136474651
BaseRepresentation
bin11010011100110100…
…01110101100000011
31100122122120002120120
431032122032230003
5213040300310033
610305031511323
71011620261652
oct151632165403
940578502516
1014200400643
116027835200
122903828543
131453ca6640
14989d61199
15581a1b1b3
hex34e68eb03

14200400643 has 48 divisors (see below), whose sum is σ = 22451966208. Its totient is φ = 7930296000.

The previous prime is 14200400597. The next prime is 14200400657. The reversal of 14200400643 is 34600400241.

14200400643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14200400643 - 26 = 14200400579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14200400243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3050868 + ... + 3055518.

It is an arithmetic number, because the mean of its divisors is an integer number (467749296).

Almost surely, 214200400643 is an apocalyptic number.

14200400643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14200400643 is a deficient number, since it is larger than the sum of its proper divisors (8251565565).

14200400643 is a wasteful number, since it uses less digits than its factorization.

14200400643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14200400643 its reverse (34600400241), we get a palindrome (48800800884).

The spelling of 14200400643 in words is "fourteen billion, two hundred million, four hundred thousand, six hundred forty-three".

Divisors: 1 3 11 13 33 39 121 143 363 429 647 1573 1941 4651 4719 7117 8411 13953 21351 25233 51161 60463 78287 92521 153483 181389 234861 277563 562771 665093 1017731 1688313 1995279 3009197 3053193 7316023 9027591 21948069 33101167 39119561 99303501 117358683 364112837 430315171 1092338511 1290945513 4733466881 14200400643