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114131341344 = 2531188868139
BaseRepresentation
bin110101001001011000…
…0100001000000100000
3101220121000020212021110
41222102300201000200
53332220110410334
6124233050423320
711150165252256
oct1522260410040
9356530225243
10114131341344
1144448191aa9
121a152431b40
13a9bb3b6797
145749b665d6
152e7eb63ae9
hex1a92c21020

114131341344 has 24 divisors (see below), whose sum is σ = 299594771280. Its totient is φ = 38043780416.

The previous prime is 114131341307. The next prime is 114131341369. The reversal of 114131341344 is 443143131411.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594433974 + ... + 594434165.

It is an arithmetic number, because the mean of its divisors is an integer number (12483115470).

Almost surely, 2114131341344 is an apocalyptic number.

It is an amenable number.

114131341344 is an abundant number, since it is smaller than the sum of its proper divisors (185463429936).

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

114131341344 is a wasteful number, since it uses less digits than its factorization.

114131341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188868152 (or 1188868144 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 114131341344 its reverse (443143131411), we get a palindrome (557274472755).

The spelling of 114131341344 in words is "one hundred fourteen billion, one hundred thirty-one million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1188868139 2377736278 3566604417 4755472556 7133208834 9510945112 14266417668 19021890224 28532835336 38043780448 57065670672 114131341344