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34050130399 = 1761173189799
BaseRepresentation
bin11111101101100010…
…111100000111011111
310020220000022211210201
4133231202330013133
51024213313133044
623350432244331
72313536222125
oct375542740737
9106800284721
1034050130399
1113493457a3a
1267233a06a7
1332984b936c
1419102cb915
15d444a27d4
hex7ed8bc1df

34050130399 has 16 divisors (see below), whose sum is σ = 36856123200. Its totient is φ = 31339445760.

The previous prime is 34050130397. The next prime is 34050130493. The reversal of 34050130399 is 99303105043.

It is a cyclic number.

It is not a de Polignac number, because 34050130399 - 21 = 34050130397 is a prime.

It is a super-2 number, since 2×340501303992 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050130397) 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 15 ways as a sum of consecutive naturals, for example, 84502 + ... + 274300.

It is an arithmetic number, because the mean of its divisors is an integer number (2303507700).

Almost surely, 234050130399 is an apocalyptic number.

34050130399 is a deficient number, since it is larger than the sum of its proper divisors (2805992801).

34050130399 is a wasteful number, since it uses less digits than its factorization.

34050130399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190050.

The product of its (nonzero) digits is 43740, while the sum is 37.

The spelling of 34050130399 in words is "thirty-four billion, fifty million, one hundred thirty thousand, three hundred ninety-nine".

Divisors: 1 17 61 173 1037 2941 10553 179401 189799 3226583 11577739 32835227 196821563 558198859 2002948847 34050130399