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1314110385 = 3457463531
BaseRepresentation
bin100111001010011…
…1011101110110001
310101120201201120000
41032110323232301
510142403013020
6334221540213
744364516420
oct11624735661
93346651500
101314110385
11614865645
12308114669
1317c338713
14c67552b7
157a57b090
hex4e53bbb1

1314110385 has 40 divisors (see below), whose sum is σ = 2692193856. Its totient is φ = 600734880.

The previous prime is 1314110377. The next prime is 1314110407. The reversal of 1314110385 is 5830114131.

It is not a de Polignac number, because 1314110385 - 23 = 1314110377 is a prime.

It is a super-2 number, since 2×13141103852 = 3453772207929696450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228931 + ... + 234600.

Almost surely, 21314110385 is an apocalyptic number.

1314110385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314110385 is an abundant number, since it is smaller than the sum of its proper divisors (1378083471).

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

1314110385 is an equidigital number, since it uses as much as digits as its factorization.

1314110385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463555 (or 463546 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1314110385 is about 36250.6604767417. The cubic root of 1314110385 is about 1095.3273931897.

The spelling of 1314110385 in words is "one billion, three hundred fourteen million, one hundred ten thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 463531 1390593 2317655 3244717 4171779 6952965 9734151 12515337 16223585 20858895 29202453 37546011 48670755 62576685 87607359 146012265 187730055 262822077 438036795 1314110385