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314043000444 = 223252316679573
BaseRepresentation
bin1001001000111100110…
…10111110011001111100
31010000121012022100211200
410210132122332121330
520121130002003234
6400134103215500
731455164313525
oct4443632763174
91100535270750
10314043000444
111112040a5398
1250a44447590
13237ca314c24
14112b220d84c
158280487d99
hex491e6be67c

314043000444 has 36 divisors (see below), whose sum is σ = 795348806616. Its totient is φ = 104480839008.

The previous prime is 314043000367. The next prime is 314043000493. The reversal of 314043000444 is 444000340413.

314043000444 is a `hidden beast` number, since 314 + 0 + 4 + 300 + 0 + 4 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3140430004442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8320959 + ... + 8358614.

It is an arithmetic number, because the mean of its divisors is an integer number (22093022406).

Almost surely, 2314043000444 is an apocalyptic number.

It is an amenable number.

314043000444 is an abundant number, since it is smaller than the sum of its proper divisors (481305806172).

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

314043000444 is a wasteful number, since it uses less digits than its factorization.

314043000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16680106 (or 16680101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 314043000444 its reverse (444000340413), we get a palindrome (758043340857).

The spelling of 314043000444 in words is "three hundred fourteen billion, forty-three million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3138 4707 6276 9414 18828 16679573 33359146 50038719 66718292 100077438 150116157 200154876 300232314 600464628 8723416679 17446833358 26170250037 34893666716 52340500074 78510750111 104681000148 157021500222 314043000444