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4002314193 = 33148233859
BaseRepresentation
bin1110111010001110…
…0111011111010001
3101022221001121221000
43232203213133101
531144043023233
61501051252213
7201116052333
oct35643473721
911287047830
104002314193
111774224989
1293844a069
134ba251b67
1429d797453
15186580d13
hexee8e77d1

4002314193 has 8 divisors (see below), whose sum is σ = 5929354400. Its totient is φ = 2668209444.

The previous prime is 4002314189. The next prime is 4002314221. The reversal of 4002314193 is 3914132004.

4002314193 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002314193 - 22 = 4002314189 is a prime.

It is a super-3 number, since 3×40023141933 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 148233859 = 4002314193 / (4 + 0 + 0 + 2 + 3 + 1 + 4 + 1 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002314123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74116903 + ... + 74116956.

It is an arithmetic number, because the mean of its divisors is an integer number (741169300).

Almost surely, 24002314193 is an apocalyptic number.

It is an amenable number.

4002314193 is a deficient number, since it is larger than the sum of its proper divisors (1927040207).

4002314193 is a wasteful number, since it uses less digits than its factorization.

4002314193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148233868 (or 148233862 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4002314193 is about 63263.8458600171. The cubic root of 4002314193 is about 1587.7071223172.

Adding to 4002314193 its reverse (3914132004), we get a palindrome (7916446197).

The spelling of 4002314193 in words is "four billion, two million, three hundred fourteen thousand, one hundred ninety-three".

Divisors: 1 3 9 27 148233859 444701577 1334104731 4002314193