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34145230023 = 3331251162529
BaseRepresentation
bin11111110011001101…
…101101110011000111
310021010122021101222000
4133303031231303013
51024412134330043
623404110440343
72316102444402
oct376315556307
9107118241860
1034145230023
1113532101773
12674b2030b3
1332b2105528
14191cba4d39
15d4c9da2d3
hex7f336dcc7

34145230023 has 32 divisors (see below), whose sum is σ = 52425676800. Its totient is φ = 21941280000.

The previous prime is 34145230003. The next prime is 34145230039. The reversal of 34145230023 is 32003254143.

It is not a de Polignac number, because 34145230023 - 26 = 34145229959 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128823 + ... + 291351.

It is an arithmetic number, because the mean of its divisors is an integer number (1638302400).

Almost surely, 234145230023 is an apocalyptic number.

34145230023 is a deficient number, since it is larger than the sum of its proper divisors (18280446777).

34145230023 is a wasteful number, since it uses less digits than its factorization.

34145230023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162820 (or 162814 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34145230023 its reverse (32003254143), we get a palindrome (66148484166).

The spelling of 34145230023 in words is "thirty-four billion, one hundred forty-five million, two hundred thirty thousand, twenty-three".

Divisors: 1 3 9 27 31 93 251 279 753 837 2259 6777 7781 23343 70029 162529 210087 487587 1462761 4388283 5038399 15115197 40794779 45345591 122384337 136036773 367153011 1101459033 1264638149 3793914447 11381743341 34145230023