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114412104 = 233210714851
BaseRepresentation
bin1101101000111…
…00101001001000
321222021201220100
412310130221020
5213242141404
615204125400
72556325662
oct664345110
9258251810
10114412104
1159645564
1232396860
131a91b691
14112a3532
15a09ed39
hex6d1ca48

114412104 has 48 divisors (see below), whose sum is σ = 312783120. Its totient is φ = 37778400.

The previous prime is 114412073. The next prime is 114412139. The reversal of 114412104 is 401214411.

114412104 is a `hidden beast` number, since 11 + 441 + 210 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (6516315).

Almost surely, 2114412104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156391560).

114412104 is an abundant number, since it is smaller than the sum of its proper divisors (198371016).

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

114412104 is a wasteful number, since it uses less digits than its factorization.

114412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14970 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114412104 is about 10696.3593806491. The cubic root of 114412104 is about 485.4643287634.

Adding to 114412104 its reverse (401214411), we get a palindrome (515626515).

The spelling of 114412104 in words is "one hundred fourteen million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 14851 29702 44553 59404 89106 118808 133659 178212 267318 356424 534636 1069272 1589057 3178114 4767171 6356228 9534342 12712456 14301513 19068684 28603026 38137368 57206052 114412104