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123432004314 = 2327196582163
BaseRepresentation
bin111001011110100011…
…1101110101011011010
3102210121012002111100100
41302331013232223122
54010242043114224
6132412012120230
711626521503613
oct1627507565332
9383535074310
10123432004314
114839016a823
121bb09166076
13b841237558
145d8d084c0a
153326430ac9
hex1cbd1eeada

123432004314 has 24 divisors (see below), whose sum is σ = 271202716512. Its totient is φ = 40564508040.

The previous prime is 123432004253. The next prime is 123432004343. The reversal of 123432004314 is 413400234321.

123432004314 is a `hidden beast` number, since 1 + 2 + 343 + 2 + 0 + 0 + 4 + 314 = 666.

It is a super-3 number, since 3×1234320043143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48289804 + ... + 48292359.

It is an arithmetic number, because the mean of its divisors is an integer number (11300113188).

Almost surely, 2123432004314 is an apocalyptic number.

123432004314 is an abundant number, since it is smaller than the sum of its proper divisors (147770712198).

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

123432004314 is a wasteful number, since it uses less digits than its factorization.

123432004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96582242 (or 96582239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123432004314 its reverse (413400234321), we get a palindrome (536832238635).

The spelling of 123432004314 in words is "one hundred twenty-three billion, four hundred thirty-two million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 96582163 193164326 289746489 579492978 869239467 1738478934 6857333573 13714667146 20572000719 41144001438 61716002157 123432004314