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114660441 = 34734127
BaseRepresentation
bin1101101010110…
…01010001011001
321222202100120000
412311121101121
5213323113231
615213323213
72561412000
oct665312131
9258670500
10114660441
11597a50a5
1232496509
131a9a771c
1411329c37
15a0ed6e6
hex6d59459

114660441 has 40 divisors (see below), whose sum is σ = 199795200. Its totient is φ = 65504376.

The previous prime is 114660439. The next prime is 114660449. The reversal of 114660441 is 144066411.

114660441 is a `hidden beast` number, since 1 + 14 + 6 + 604 + 41 = 666.

It is not a de Polignac number, because 114660441 - 21 = 114660439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114660449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25720 + ... + 29846.

It is an arithmetic number, because the mean of its divisors is an integer number (4994880).

Almost surely, 2114660441 is an apocalyptic number.

It is an amenable number.

114660441 is a deficient number, since it is larger than the sum of its proper divisors (85134759).

114660441 is an frugal number, since it uses more digits than its factorization.

114660441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114660441 is about 10707.9615707192. The cubic root of 114660441 is about 485.8153162016.

The spelling of 114660441 in words is "one hundred fourteen million, six hundred sixty thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 3087 3969 4127 9261 12381 27783 28889 37143 86667 111429 202223 260001 334287 606669 780003 1415561 1820007 2340009 4246683 5460021 12740049 16380063 38220147 114660441