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114142412331 = 3331373685699
BaseRepresentation
bin110101001001101101…
…0101111111000101011
3101220121210002022211000
41222103122233320223
53332230424143311
6124234124010043
711150361332223
oct1522332577053
9356553068730
10114142412331
1144453463882
121a156090923
13a9c079196c
14574b409083
152e80aee056
hex1a936afe2b

114142412331 has 32 divisors (see below), whose sum is σ = 179272448000. Its totient is φ = 71649969120.

The previous prime is 114142412311. The next prime is 114142412341. The reversal of 114142412331 is 133214241411.

It is a happy number.

114142412331 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 424 + 1 + 233 + 1 = 666.

It is not a de Polignac number, because 114142412331 - 215 = 114142379563 is a prime.

It is a super-2 number, since 2×1141424123312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114142412295 and 114142412304.

It is not an unprimeable number, because it can be changed into a prime (114142412311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811881 + ... + 1873818.

It is an arithmetic number, because the mean of its divisors is an integer number (5602264000).

Almost surely, 2114142412331 is an apocalyptic number.

114142412331 is a deficient number, since it is larger than the sum of its proper divisors (65130035669).

114142412331 is a wasteful number, since it uses less digits than its factorization.

114142412331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685776 (or 3685770 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114142412331 its reverse (133214241411), we get a palindrome (247356653742).

The spelling of 114142412331 in words is "one hundred fourteen billion, one hundred forty-two million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 31 37 93 111 279 333 837 999 1147 3441 10323 30969 3685699 11057097 33171291 99513873 114256669 136370863 342770007 409112589 1028310021 1227337767 3084930063 3682013301 4227496753 12682490259 38047470777 114142412331