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110345400414 = 235227048149
BaseRepresentation
bin110011011000100011…
…0010011000001011110
3101112211011100010200000
41212301012103001132
53301441410303124
6122405244515130
710654314266514
oct1466106230136
9345734303600
10110345400414
11428851135a7
121947654baa6
13a536c32652
1454ab0144b4
152d0c5c36c9
hex19b119305e

110345400414 has 24 divisors (see below), whose sum is σ = 247936579800. Its totient is φ = 36781799976.

The previous prime is 110345400383. The next prime is 110345400427. The reversal of 110345400414 is 414004543011.

110345400414 is a `hidden beast` number, since 1 + 103 + 4 + 540 + 0 + 4 + 14 = 666.

It is a super-2 number, since 2×1103454004142 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113523589 + ... + 113524560.

It is an arithmetic number, because the mean of its divisors is an integer number (10330690825).

Almost surely, 2110345400414 is an apocalyptic number.

110345400414 is an abundant number, since it is smaller than the sum of its proper divisors (137591179386).

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

110345400414 is an equidigital number, since it uses as much as digits as its factorization.

110345400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227048166 (or 227048154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 110345400414 its reverse (414004543011), we get a palindrome (524349943425).

The spelling of 110345400414 in words is "one hundred ten billion, three hundred forty-five million, four hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 227048149 454096298 681144447 1362288894 2043433341 4086866682 6130300023 12260600046 18390900069 36781800138 55172700207 110345400414