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114696141 = 37192631093
BaseRepresentation
bin1101101011000…
…01111111001101
321222211011112020
412311201333031
5213330234031
615214200353
72561621040
oct665417715
9258734466
10114696141
11598199aa
12324b30b9
131a9baa51
1411338c57
15a109096
hex6d61fcd

114696141 has 32 divisors (see below), whose sum is σ = 184842240. Its totient is φ = 61798464.

The previous prime is 114696139. The next prime is 114696157. The reversal of 114696141 is 141696411.

It is not a de Polignac number, because 114696141 - 21 = 114696139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114696191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104391 + ... + 105483.

It is an arithmetic number, because the mean of its divisors is an integer number (5776320).

Almost surely, 2114696141 is an apocalyptic number.

It is an amenable number.

114696141 is a deficient number, since it is larger than the sum of its proper divisors (70146099).

114696141 is a wasteful number, since it uses less digits than its factorization.

114696141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385.

The product of its digits is 5184, while the sum is 33.

The square root of 114696141 is about 10709.6284249268. The cubic root of 114696141 is about 485.8657311688.

The spelling of 114696141 in words is "one hundred fourteen million, six hundred ninety-six thousand, one hundred forty-one".

Divisors: 1 3 7 19 21 57 133 263 399 789 1093 1841 3279 4997 5523 7651 14991 20767 22953 34979 62301 104937 145369 287459 436107 862377 2012213 5461721 6036639 16385163 38232047 114696141