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4000133345 = 513331185923
BaseRepresentation
bin1110111001101101…
…0011000011100001
3101022202221211100212
43232123103003201
531143013231340
61500532423505
7201061400225
oct35633230341
911282854325
104000133345
111772a7542a
12937777b95
134b996a310
1429d38a785
1518629ea65
hexee6d30e1

4000133345 has 16 divisors (see below), whose sum is σ = 5185048512. Its totient is φ = 2945004480.

The previous prime is 4000133341. The next prime is 4000133353. The reversal of 4000133345 is 5433310004.

It is not a de Polignac number, because 4000133345 - 22 = 4000133341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4000133345.

It is not an unprimeable number, because it can be changed into a prime (4000133341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71447 + ... + 114476.

It is an arithmetic number, because the mean of its divisors is an integer number (324065532).

Almost surely, 24000133345 is an apocalyptic number.

It is an amenable number.

4000133345 is a deficient number, since it is larger than the sum of its proper divisors (1184915167).

4000133345 is a wasteful number, since it uses less digits than its factorization.

4000133345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186272.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 4000133345 is about 63246.6073793686. The cubic root of 4000133345 is about 1587.4186911050.

Adding to 4000133345 its reverse (5433310004), we get a palindrome (9433443349).

The spelling of 4000133345 in words is "four billion, one hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13 65 331 1655 4303 21515 185923 929615 2416999 12084995 61540513 307702565 800026669 4000133345