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314455141 = 711131372293
BaseRepresentation
bin10010101111100…
…011010001100101
3210220200222100201
4102233203101211
51121000031031
651111510501
710535552560
oct2257432145
9726628321
10314455141
11151557890
1289388431
13501bc440
142da974d7
151c916d61
hex12be3465

314455141 has 32 divisors (see below), whose sum is σ = 425472768. Its totient is φ = 224432640.

The previous prime is 314455139. The next prime is 314455153. The reversal of 314455141 is 141554413.

It is a cyclic number.

It is not a de Polignac number, because 314455141 - 21 = 314455139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314455181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135991 + ... + 138283.

It is an arithmetic number, because the mean of its divisors is an integer number (13296024).

Almost surely, 2314455141 is an apocalyptic number.

It is an amenable number.

314455141 is a deficient number, since it is larger than the sum of its proper divisors (111017627).

314455141 is a wasteful number, since it uses less digits than its factorization.

314455141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461.

The product of its digits is 4800, while the sum is 28.

The square root of 314455141 is about 17732.8830425286. The cubic root of 314455141 is about 680.0166813959.

It can be divided in two parts, 3144 and 55141, that added together give a palindrome (58285).

The spelling of 314455141 in words is "three hundred fourteen million, four hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 7 11 13 77 91 137 143 959 1001 1507 1781 2293 10549 12467 16051 19591 25223 29809 137137 176561 208663 314141 327899 2198987 2295293 3455551 4083833 24188857 28586831 44922163 314455141