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34134223431 = 3711474097687
BaseRepresentation
bin11111110010100011…
…101110101001000111
310021002212120012202110
4133302203232221013
51024401330122211
623403034512103
72315610053250
oct376243565107
9107085505673
1034134223431
1113526974310
126747595633
1332aca50759
14191b53bb27
15d4ba63ea6
hex7f28eea47

34134223431 has 64 divisors (see below), whose sum is σ = 58099138560. Its totient is φ = 17310101760.

The previous prime is 34134223427. The next prime is 34134223447. The reversal of 34134223431 is 13432243143.

It is a happy number.

It is not a de Polignac number, because 34134223431 - 22 = 34134223427 is a prime.

It is a super-2 number, since 2×341342234312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134223231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4436670 + ... + 4444356.

It is an arithmetic number, because the mean of its divisors is an integer number (907799040).

Almost surely, 234134223431 is an apocalyptic number.

34134223431 is a deficient number, since it is larger than the sum of its proper divisors (23964915129).

34134223431 is a wasteful number, since it uses less digits than its factorization.

34134223431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164.

The product of its digits is 20736, while the sum is 30.

Adding to 34134223431 its reverse (13432243143), we get a palindrome (47566466574).

The spelling of 34134223431 in words is "thirty-four billion, one hundred thirty-four million, two hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 47 77 141 231 329 409 517 987 1227 1551 2863 3619 4499 7687 8589 10857 13497 19223 23061 31493 53809 57669 84557 94479 134561 161427 211453 253671 361289 403683 591899 634359 1083867 1480171 1775697 2529023 3143983 3974179 4440513 7587069 9431949 11922537 22007881 27819253 34583813 66023643 83457759 103751439 147767201 242086691 443301603 726260073 1034370407 1625439211 3103111221 4876317633 11378074477 34134223431