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123314440 = 23523912899
BaseRepresentation
bin1110101100110…
…10000100001000
322121001000121111
413112122010020
5223032030230
620123020104
73025104214
oct726320410
9277030544
10123314440
1163675a67
123536a634
131c717732
141253d944
15ac5c92a
hex759a108

123314440 has 32 divisors (see below), whose sum is σ = 278640000. Its totient is φ = 49115584.

The previous prime is 123314423. The next prime is 123314441. The reversal of 123314440 is 44413321.

It is a super-2 number, since 2×1233144402 = 30412902225027200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3111 + ... + 16009.

It is an arithmetic number, because the mean of its divisors is an integer number (8707500).

Almost surely, 2123314440 is an apocalyptic number.

123314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123314440 is an abundant number, since it is smaller than the sum of its proper divisors (155325560).

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

123314440 is a wasteful number, since it uses less digits than its factorization.

123314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 123314440 is about 11104.7035079735. The cubic root of 123314440 is about 497.7424085703.

Adding to 123314440 its reverse (44413321), we get a palindrome (167727761).

The spelling of 123314440 in words is "one hundred twenty-three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 239 478 956 1195 1912 2390 4780 9560 12899 25798 51596 64495 103192 128990 257980 515960 3082861 6165722 12331444 15414305 24662888 30828610 61657220 123314440