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34059145146 = 2313541807127
BaseRepresentation
bin11111101110000101…
…010100111110111010
310020220122021211201020
4133232011110332322
51024223120121041
623351353403310
72314005646155
oct375605247672
9106818254636
1034059145146
1113498554944
126726409536
13329a324630
141911596c9c
15d45183866
hex7ee154fba

34059145146 has 32 divisors (see below), whose sum is σ = 73493847168. Its totient is φ = 10460352960.

The previous prime is 34059145121. The next prime is 34059145147. The reversal of 34059145146 is 64154195043.

It is a happy number.

It is a super-2 number, since 2×340591451462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34059145098 and 34059145107.

It is not an unprimeable number, because it can be changed into a prime (34059145147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361366 + ... + 445761.

It is an arithmetic number, because the mean of its divisors is an integer number (2296682724).

Almost surely, 234059145146 is an apocalyptic number.

34059145146 is an abundant number, since it is smaller than the sum of its proper divisors (39434702022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34059145146 is a wasteful number, since it uses less digits than its factorization.

34059145146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807686.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 34059145146 in words is "thirty-four billion, fifty-nine million, one hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 541 1082 1623 3246 7033 14066 21099 42198 807127 1614254 2421381 4842762 10492651 20985302 31477953 62955906 436655707 873311414 1309967121 2619934242 5676524191 11353048382 17029572573 34059145146