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114664644 = 22326414969
BaseRepresentation
bin1101101010110…
…10010011000100
321222202120022200
412311122103010
5213323232034
615213354500
72561430153
oct665322304
9258676280
10114664644
11597a8276
1232498a30
131a9a9603
141132b59a
15a0eea99
hex6d5a4c4

114664644 has 36 divisors (see below), whose sum is σ = 290357340. Its totient is φ = 38154240.

The previous prime is 114664619. The next prime is 114664657. The reversal of 114664644 is 446466411.

114664644 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 6 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 48860100 = 8112^2 + 6990^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114664599 and 114664608.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20592 + ... + 25560.

Almost surely, 2114664644 is an apocalyptic number.

It is an amenable number.

114664644 is an abundant number, since it is smaller than the sum of its proper divisors (175692696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114664644 is a wasteful number, since it uses less digits than its factorization.

114664644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5615 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 114664644 is about 10708.1578247615. The cubic root of 114664644 is about 485.8212521542.

It can be divided in two parts, 11466 and 4644, that added together give a triangular number (16110 = T179).

The spelling of 114664644 in words is "one hundred fourteen million, six hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 641 1282 1923 2564 3846 4969 5769 7692 9938 11538 14907 19876 23076 29814 44721 59628 89442 178884 3185129 6370258 9555387 12740516 19110774 28666161 38221548 57332322 114664644