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132342034314 = 23729310754269
BaseRepresentation
bin111101101000000110…
…0110010111110001010
3110122121010212220201110
41323100030302332022
54132014030044224
6140444101031150
712363362505510
oct1732014627612
9418533786643
10132342034314
11511426a0186
12217950b54b6
13c631176459
14659655a4b0
153698789929
hex1ed0332f8a

132342034314 has 32 divisors (see below), whose sum is σ = 303528516480. Its totient is φ = 37682955072.

The previous prime is 132342034309. The next prime is 132342034327. The reversal of 132342034314 is 413430243231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5364829 + ... + 5389440.

It is an arithmetic number, because the mean of its divisors is an integer number (9485266140).

Almost surely, 2132342034314 is an apocalyptic number.

132342034314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132342034314 is an abundant number, since it is smaller than the sum of its proper divisors (171186482166).

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

132342034314 is a wasteful number, since it uses less digits than its factorization.

132342034314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754574.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132342034314 its reverse (413430243231), we get a palindrome (545772277545).

The spelling of 132342034314 in words is "one hundred thirty-two billion, three hundred forty-two million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 293 586 879 1758 2051 4102 6153 12306 10754269 21508538 32262807 64525614 75279883 150559766 225839649 451679298 3151000817 6302001634 9453002451 18906004902 22057005719 44114011438 66171017157 132342034314