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146314363 = 13412111301
BaseRepresentation
bin10001011100010…
…01010001111011
3101012022112120111
420232021101323
5244424024423
622304005151
73424436326
oct1056112173
9335275514
10146314363
1175655168
12410007b7
132440b460
14156097bd
15cca260d
hex8b8947b

146314363 has 16 divisors (see below), whose sum is σ = 162302112. Its totient is φ = 131040000.

The previous prime is 146314361. The next prime is 146314373. The reversal of 146314363 is 363413641.

It is a happy number.

146314363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146314363 - 21 = 146314361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146314361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111813 + ... + 113113.

It is an arithmetic number, because the mean of its divisors is an integer number (10143882).

Almost surely, 2146314363 is an apocalyptic number.

146314363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

146314363 is a deficient number, since it is larger than the sum of its proper divisors (15987749).

146314363 is a wasteful number, since it uses less digits than its factorization.

146314363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566.

The product of its digits is 15552, while the sum is 31.

The square root of 146314363 is about 12096.0474122748. The cubic root of 146314363 is about 526.9413991949.

The spelling of 146314363 in words is "one hundred forty-six million, three hundred fourteen thousand, three hundred sixty-three".

Divisors: 1 13 41 211 533 1301 2743 8651 16913 53341 112463 274511 693433 3568643 11254951 146314363