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14431162816 = 267291110773
BaseRepresentation
bin11010111000010101…
…00001000111000000
31101020201210000202201
431130022201013000
5214023334202231
610343553522544
71020421600660
oct153412410700
941221700681
1014431162816
116136019244
122968b73454
13148ca417c5
149ac8701a0
15596e00161
hex35c2a11c0

14431162816 has 56 divisors (see below), whose sum is σ = 33856391520. Its totient is φ = 5971510272.

The previous prime is 14431162771. The next prime is 14431162847. The reversal of 14431162816 is 61826113441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542395 + ... + 568378.

It is an arithmetic number, because the mean of its divisors is an integer number (604578420).

Almost surely, 214431162816 is an apocalyptic number.

14431162816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14431162816 is an abundant number, since it is smaller than the sum of its proper divisors (19425228704).

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

14431162816 is a wasteful number, since it uses less digits than its factorization.

14431162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110821 (or 1110811 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The spelling of 14431162816 in words is "fourteen billion, four hundred thirty-one million, one hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 1110773 2221546 4443092 7775411 8886184 15550822 17772368 31101644 32212417 35544736 62203288 64424834 71089472 124406576 128849668 225486919 248813152 257699336 450973838 497626304 515398672 901947676 1030797344 1803895352 2061594688 3607790704 7215581408 14431162816