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110414142 = 23237193859
BaseRepresentation
bin1101001010011…
…00100100111110
321200202121201200
412211030210332
5211231223032
614542320330
72510335056
oct645144476
9250677650
10110414142
1157364863
1230b890a6
1319b4ba17
1410942566
159a6047c
hex694c93e

110414142 has 48 divisors (see below), whose sum is σ = 247256880. Its totient is φ = 35582976.

The previous prime is 110414137. The next prime is 110414203. The reversal of 110414142 is 241414011.

110414142 is a `hidden beast` number, since 110 + 414 + 142 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128109 + ... + 128967.

It is an arithmetic number, because the mean of its divisors is an integer number (5151185).

Almost surely, 2110414142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123628440).

110414142 is an abundant number, since it is smaller than the sum of its proper divisors (136842738).

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

110414142 is a wasteful number, since it uses less digits than its factorization.

110414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1094 counting only the distinct ones).

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

The square root of 110414142 is about 10507.8133786245. The cubic root of 110414142 is about 479.7425442258.

Adding to 110414142 its reverse (241414011), we get a palindrome (351828153).

The spelling of 110414142 in words is "one hundred ten million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 193 222 333 386 579 666 859 1158 1718 1737 2577 3474 5154 7141 7731 14282 15462 21423 31783 42846 63566 64269 95349 128538 165787 190698 286047 331574 497361 572094 994722 1492083 2984166 6134119 12268238 18402357 36804714 55207071 110414142