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314224836340 = 225140571117681
BaseRepresentation
bin1001001001010010100…
…00100111111011110100
31010001001212110120210111
410210221100213323310
520122013024230330
6400204120432404
731462533016402
oct4445120477364
91101055416714
10314224836340
11111297801398
1250a95318704
1323828bac62c
14112cc424472
15829140532a
hex4929427ef4

314224836340 has 24 divisors (see below), whose sum is σ = 659919689352. Its totient is φ = 125680880640.

The previous prime is 314224836329. The next prime is 314224836347. The reversal of 314224836340 is 43638422413.

It can be written as a sum of positive squares in 4 ways, for example, as 492662416 + 313732173924 = 22196^2 + 560118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314224836293 and 314224836302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314224836347) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 277701 + ... + 839980.

It is an arithmetic number, because the mean of its divisors is an integer number (27496653723).

Almost surely, 2314224836340 is an apocalyptic number.

It is an amenable number.

314224836340 is an abundant number, since it is smaller than the sum of its proper divisors (345694853012).

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

314224836340 is a wasteful number, since it uses less digits than its factorization.

314224836340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131747 (or 1131745 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 314224836340 in words is "three hundred fourteen billion, two hundred twenty-four million, eight hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 14057 28114 56228 70285 140570 281140 1117681 2235362 4470724 5588405 11176810 22353620 15711241817 31422483634 62844967268 78556209085 157112418170 314224836340