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146242313 = 72174192
BaseRepresentation
bin10001011011101…
…11101100001001
3101012011212201222
420231313230021
5244414223223
622302251425
73424016300
oct1055675411
9335155658
10146242313
1175606018
1240b86b75
13243b4719
14155cb437
15cc8b0c8
hex8b77b09

146242313 has 18 divisors (see below), whose sum is σ = 180556506. Its totient is φ = 117695424.

The previous prime is 146242309. The next prime is 146242337. The reversal of 146242313 is 313242641.

It can be written as a sum of positive squares in only one way, i.e., 137639824 + 8602489 = 11732^2 + 2933^2 .

It is not a de Polignac number, because 146242313 - 22 = 146242309 is a prime.

It is a super-2 number, since 2×1462423132 = 42773628223179938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146242363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 348818 + ... + 349236.

It is an arithmetic number, because the mean of its divisors is an integer number (10030917).

Almost surely, 2146242313 is an apocalyptic number.

It is an amenable number.

146242313 is a deficient number, since it is larger than the sum of its proper divisors (34314193).

146242313 is an frugal number, since it uses more digits than its factorization.

146242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 443 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 146242313 is about 12093.0687999366. The cubic root of 146242313 is about 526.8548905736.

Adding to 146242313 its reverse (313242641), we get a palindrome (459484954).

The spelling of 146242313 in words is "one hundred forty-six million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 419 833 2933 7123 20531 49861 175561 349027 1228927 2984537 8602489 20891759 146242313