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114144604 = 227311071229
BaseRepresentation
bin1101100110110…
…11010101011100
321221210010221221
412303123111130
5213210111404
615154303124
72554133050
oct663332534
9257703857
10114144604
1159482592
1232287aa4
131a8569b2
1411233c60
15a04a954
hex6cdb55c

114144604 has 48 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 46860480.

The previous prime is 114144599. The next prime is 114144619. The reversal of 114144604 is 406441411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92262 + ... + 93490.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2114144604 is an apocalyptic number.

114144604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114144604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

114144604 is an abundant number, since it is smaller than the sum of its proper divisors (123904676).

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

114144604 is a wasteful number, since it uses less digits than its factorization.

114144604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 114144604 is about 10683.8478087251. The cubic root of 114144604 is about 485.0856886187.

The spelling of 114144604 in words is "one hundred fourteen million, one hundred forty-four thousand, six hundred four".

Divisors: 1 2 4 7 14 28 31 62 107 124 214 217 428 434 749 868 1229 1498 2458 2996 3317 4916 6634 8603 13268 17206 23219 34412 38099 46438 76198 92876 131503 152396 263006 266693 526012 533386 920521 1066772 1841042 3682084 4076593 8153186 16306372 28536151 57072302 114144604