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34213142313 = 34760340639
BaseRepresentation
bin11111110111010000…
…110001111100101001
310021022101001201010000
4133313100301330221
51030032031023223
623414534213213
72320555624410
oct376720617451
9107271051100
1034213142313
1113567477229
126769ab4209
1332c31c2a0c
141927c02477
15d53952543
hex7f7431f29

34213142313 has 20 divisors (see below), whose sum is σ = 58409739520. Its totient is φ = 19550366712.

The previous prime is 34213142291. The next prime is 34213142347. The reversal of 34213142313 is 31324131243.

It is a happy number.

34213142313 is a `hidden beast` number, since 3 + 421 + 3 + 1 + 4 + 231 + 3 = 666.

It is not a de Polignac number, because 34213142313 - 28 = 34213142057 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34213142363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30169753 + ... + 30170886.

It is an arithmetic number, because the mean of its divisors is an integer number (2920486976).

Almost surely, 234213142313 is an apocalyptic number.

It is an amenable number.

34213142313 is a deficient number, since it is larger than the sum of its proper divisors (24196597207).

34213142313 is an equidigital number, since it uses as much as digits as its factorization.

34213142313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60340658 (or 60340649 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34213142313 its reverse (31324131243), we get a palindrome (65537273556).

The spelling of 34213142313 in words is "thirty-four billion, two hundred thirteen million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 567 60340639 181021917 422384473 543065751 1267153419 1629197253 3801460257 4887591759 11404380771 34213142313