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114244040031 = 31179109402037
BaseRepresentation
bin110101001100101111…
…0011011010101011111
3101220212212022112210220
41222121132123111133
53332432433240111
6124252154132423
711153034214002
oct1523136332537
9356785275726
10114244040031
11444a5867210
121a184121113
13aa088552b4
14575ab01539
152e899c5e06
hex1a9979b55f

114244040031 has 32 divisors (see below), whose sum is σ = 169820851200. Its totient is φ = 67735025280.

The previous prime is 114244040023. The next prime is 114244040039. The reversal of 114244040031 is 130040442411.

It is an interprime number because it is at equal distance from previous prime (114244040023) and next prime (114244040039).

It is not a de Polignac number, because 114244040031 - 23 = 114244040023 is a prime.

It is a super-2 number, since 2×1142440400312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114244039983 and 114244040010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114244040039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83145 + ... + 485181.

It is an arithmetic number, because the mean of its divisors is an integer number (5306901600).

Almost surely, 2114244040031 is an apocalyptic number.

114244040031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114244040031 is a deficient number, since it is larger than the sum of its proper divisors (55576811169).

114244040031 is a wasteful number, since it uses less digits than its factorization.

114244040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402239.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114244040031 its reverse (130040442411), we get a palindrome (244284482442).

The spelling of 114244040031 in words is "one hundred fourteen billion, two hundred forty-four million, forty thousand, thirty-one".

Divisors: 1 3 11 33 79 109 237 327 869 1199 2607 3597 8611 25833 94721 284163 402037 1206111 4422407 13267221 31760923 43822033 95282769 131466099 349370153 482042363 1048110459 1446127089 3461940607 10385821821 38081346677 114244040031