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114000045 = 35171672677
BaseRepresentation
bin1101100101110…
…00000010101101
321221111210122220
412302320002231
5213141000140
615151225553
72552661435
oct662700255
9257453586
10114000045
1159393a15
12322182b9
131a805c63
14111d72c5
15a01cbd0
hex6cb80ad

114000045 has 32 divisors (see below), whose sum is σ = 194358528. Its totient is φ = 56859648.

The previous prime is 114000037. The next prime is 114000059. The reversal of 114000045 is 540000411.

It is not a de Polignac number, because 114000045 - 23 = 114000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 113999988 and 114000033.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41247 + ... + 43923.

It is an arithmetic number, because the mean of its divisors is an integer number (6073704).

Almost surely, 2114000045 is an apocalyptic number.

114000045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114000045 is a deficient number, since it is larger than the sum of its proper divisors (80358483).

114000045 is a wasteful number, since it uses less digits than its factorization.

114000045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114000045 is about 10677.0803593492. The cubic root of 114000045 is about 484.8808223841.

Adding to 114000045 its reverse (540000411), we get a palindrome (654000456).

The spelling of 114000045 in words is "one hundred fourteen million, forty-five", and thus it is an aban number.

Divisors: 1 3 5 15 17 51 85 167 255 501 835 2505 2677 2839 8031 8517 13385 14195 40155 42585 45509 136527 227545 447059 682635 1341177 2235295 6705885 7600003 22800009 38000015 114000045