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314141120 = 265981691
BaseRepresentation
bin10010101110010…
…110100111000000
3210220010000121022
4102232112213000
51120410003440
651101045012
710533104216
oct2256264700
9726100538
10314141120
11151362967
1289256768
135010c527
142da14cb6
151c8a3cb5
hex12b969c0

314141120 has 28 divisors (see below), whose sum is σ = 748049304. Its totient is φ = 125656320.

The previous prime is 314141111. The next prime is 314141129. The reversal of 314141120 is 21141413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314141111) and next prime (314141129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 490526 + ... + 491165.

Almost surely, 2314141120 is an apocalyptic number.

It is an amenable number.

314141120 is an abundant number, since it is smaller than the sum of its proper divisors (433908184).

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

314141120 is an equidigital number, since it uses as much as digits as its factorization.

314141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981708 (or 981698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 314141120 is about 17724.0266305374. The cubic root of 314141120 is about 679.7902467247.

Adding to 314141120 its reverse (21141413), we get a palindrome (335282533).

The spelling of 314141120 in words is "three hundred fourteen million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 981691 1963382 3926764 4908455 7853528 9816910 15707056 19633820 31414112 39267640 62828224 78535280 157070560 314141120