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146313999 = 3313416849
BaseRepresentation
bin10001011100010…
…01001100001111
3101012022112002000
420232021030033
5244424021444
622304003343
73424435266
oct1056111417
9335275060
10146313999
1175654967
1241000553
132440b240
14156095dd
15cca2469
hex8b8930f

146313999 has 16 divisors (see below), whose sum is σ = 233436000. Its totient is φ = 90039168.

The previous prime is 146313989. The next prime is 146314009. The reversal of 146313999 is 999313641.

146313999 is a `hidden beast` number, since 1 + 4 + 631 + 3 + 9 + 9 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (146313989) and next prime (146314009).

It is not a de Polignac number, because 146313999 - 28 = 146313743 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146313989) 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 15 ways as a sum of consecutive naturals, for example, 208074 + ... + 208775.

It is an arithmetic number, because the mean of its divisors is an integer number (14589750).

Almost surely, 2146313999 is an apocalyptic number.

146313999 is a deficient number, since it is larger than the sum of its proper divisors (87122001).

146313999 is a wasteful number, since it uses less digits than its factorization.

146313999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416871 (or 416865 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 146313999 is about 12096.0323660281. The cubic root of 146313999 is about 526.9409622206.

The spelling of 146313999 in words is "one hundred forty-six million, three hundred thirteen thousand, nine hundred ninety-nine".

Divisors: 1 3 9 13 27 39 117 351 416849 1250547 3751641 5419037 11254923 16257111 48771333 146313999