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14400035133 = 31115719314401
BaseRepresentation
bin11010110100100111…
…10001100100111101
31101011120012120121120
431122103301210331
5213442402111013
610340522421153
71016563164501
oct153223614475
941146176546
1014400035133
11611a498590
12295a6617b9
131486463463
149a868a301
15594302123
hex35a4f193d

14400035133 has 32 divisors (see below), whose sum is σ = 21189604992. Its totient is φ = 8626176000.

The previous prime is 14400035123. The next prime is 14400035161. The reversal of 14400035133 is 33153000441.

It is a happy number.

It is not a de Polignac number, because 14400035133 - 210 = 14400034109 is a prime.

It is a super-2 number, since 2×144000351332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400035123) 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 31 ways as a sum of consecutive naturals, for example, 992733 + ... + 1007133.

It is an arithmetic number, because the mean of its divisors is an integer number (662175156).

Almost surely, 214400035133 is an apocalyptic number.

It is an amenable number.

14400035133 is a deficient number, since it is larger than the sum of its proper divisors (6789569859).

14400035133 is a wasteful number, since it uses less digits than its factorization.

14400035133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 14400035133 its reverse (33153000441), we get a palindrome (47553035574).

The spelling of 14400035133 in words is "fourteen billion, four hundred million, thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 11 33 157 193 471 579 1727 2123 5181 6369 14401 30301 43203 90903 158411 333311 475233 999933 2260957 2779393 6782871 8338179 24870527 30573323 74611581 91719969 436364701 1309094103 4800011711 14400035133