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114334044231231 = 32113137254494699
BaseRepresentation
bin11001111111110001111000…
…000101111001011000111111
3112222211020011010101122110100
4121333301320011321120333
5104441222110310344411
61043100200153012143
733040235125610646
oct3177617005713077
9488736133348410
10114334044231231
1133480883316950
12109a68540b4053
134ba48670ca9c6
142033b239b635d
15d34156a66456
hex67fc7817963f

114334044231231 has 24 divisors (see below), whose sum is σ = 185974437542400. Its totient is φ = 67058090456400.

The previous prime is 114334044231229. The next prime is 114334044231233. The reversal of 114334044231231 is 132132440433411.

114334044231231 is a `hidden beast` number, since 1 + 1 + 4 + 334 + 0 + 4 + 4 + 2 + 312 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (114334044231229) and next prime (114334044231233).

It is not a de Polignac number, because 114334044231231 - 21 = 114334044231229 is a prime.

It is a super-2 number, since 2×1143340442312312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114334044231233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18627244281 + ... + 18627250418.

It is an arithmetic number, because the mean of its divisors is an integer number (7748934897600).

Almost surely, 2114334044231231 is an apocalyptic number.

114334044231231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114334044231231 is a deficient number, since it is larger than the sum of its proper divisors (71640393311169).

114334044231231 is a wasteful number, since it uses less digits than its factorization.

114334044231231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37254494747 (or 37254494744 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 114334044231231 its reverse (132132440433411), we get a palindrome (246466484664642).

The spelling of 114334044231231 in words is "one hundred fourteen trillion, three hundred thirty-four billion, forty-four million, two hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 37254494699 111763484097 335290452291 409799441689 1154889335669 1229398325067 3464668007007 3688194975201 10394004021021 12703782692359 38111348077077 114334044231231