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114508641 = 31316318013
BaseRepresentation
bin1101101001101…
…00001101100001
321222110122022210
412310310031201
5213303234031
615210152333
72560210302
oct664641541
9258418283
10114508641
1159701045
12324226a9
131a9535c0
14112ca7a9
15a0bd746
hex6d34361

114508641 has 16 divisors (see below), whose sum is σ = 165440576. Its totient is φ = 70030656.

The previous prime is 114508631. The next prime is 114508643. The reversal of 114508641 is 146805411.

It is not a de Polignac number, because 114508641 - 25 = 114508609 is a prime.

It is a super-2 number, since 2×1145086412 = 26224457727333762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114508599 and 114508608.

It is not an unprimeable number, because it can be changed into a prime (114508643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (10340036).

Almost surely, 2114508641 is an apocalyptic number.

It is an amenable number.

114508641 is a deficient number, since it is larger than the sum of its proper divisors (50931935).

114508641 is a wasteful number, since it uses less digits than its factorization.

114508641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18192.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114508641 is about 10700.8710393126. The cubic root of 114508641 is about 485.6008297493.

The spelling of 114508641 in words is "one hundred fourteen million, five hundred eight thousand, six hundred forty-one".

Divisors: 1 3 13 39 163 489 2119 6357 18013 54039 234169 702507 2936119 8808357 38169547 114508641