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114464142 = 232131633001
BaseRepresentation
bin1101101001010…
…01010110001110
321222101101021200
412310221112032
5213300323032
615205210330
72556633462
oct664512616
9258341250
10114464142
1159680671
12324009a6
131a939280
14112b84a2
15a0b047c
hex6d2958e

114464142 has 48 divisors (see below), whose sum is σ = 268811088. Its totient is φ = 34992000.

The previous prime is 114464117. The next prime is 114464143. The reversal of 114464142 is 241464411.

114464142 is a `hidden beast` number, since 1 + 14 + 4 + 641 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114464143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36642 + ... + 39642.

It is an arithmetic number, because the mean of its divisors is an integer number (5600231).

Almost surely, 2114464142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114464142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134405544).

114464142 is an abundant number, since it is smaller than the sum of its proper divisors (154346946).

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

114464142 is a wasteful number, since it uses less digits than its factorization.

114464142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3182 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 114464142 is about 10698.7916140095. The cubic root of 114464142 is about 485.5379187735.

The spelling of 114464142 in words is "one hundred fourteen million, four hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2934 3001 4238 6002 6357 9003 12714 18006 19071 27009 38142 39013 54018 78026 117039 234078 351117 489163 702234 978326 1467489 2934978 4402467 6359119 8804934 12718238 19077357 38154714 57232071 114464142