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114335832681 = 32712971399271
BaseRepresentation
bin110101001111011110…
…0100101101001101001
3101221010021001002122200
41222132330211221221
53333124433121211
6124305233410413
711155230354030
oct1523674455151
9357107032580
10114335832681
1144542662404
121a1aaa09a09
13aa21884185
145768d97717
152e92aa8b56
hex1a9ef25a69

114335832681 has 24 divisors (see below), whose sum is σ = 188890525824. Its totient is φ = 65284341120.

The previous prime is 114335832641. The next prime is 114335832707. The reversal of 114335832681 is 186238533411.

It is a happy number.

114335832681 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 583 + 2 + 68 + 1 = 666.

It is not a de Polignac number, because 114335832681 - 210 = 114335831657 is a prime.

It is a super-2 number, since 2×1143358326812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114335832631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617925 + ... + 781346.

It is an arithmetic number, because the mean of its divisors is an integer number (7870438576).

Almost surely, 2114335832681 is an apocalyptic number.

It is an amenable number.

114335832681 is a deficient number, since it is larger than the sum of its proper divisors (74554693143).

114335832681 is a wasteful number, since it uses less digits than its factorization.

114335832681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400581 (or 1400578 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 114335832681 in words is "one hundred fourteen billion, three hundred thirty-five million, eight hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 63 1297 3891 9079 11673 27237 81711 1399271 4197813 9794897 12593439 29384691 88154073 1814854487 5444563461 12703981409 16333690383 38111944227 114335832681