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4314111165 = 3357213217227
BaseRepresentation
bin1000000010010010…
…00001110010111101
3102010122202112222000
410001021001302331
532313403024130
61552030212513
7211623224400
oct40111016275
912118675860
104314111165
111914226631
12a04954139
13539a20400
142ccd5bd37
151a3b20260
hex101241cbd

4314111165 has 288 divisors, whose sum is σ = 10274117760. Its totient is φ = 1705826304.

The previous prime is 4314111161. The next prime is 4314111203. The reversal of 4314111165 is 5611114134.

It is not a de Polignac number, because 4314111165 - 22 = 4314111161 is a prime.

It is a super-2 number, since 2×43141111652 = 37223110287955314450, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19004782 + ... + 19005008.

It is an arithmetic number, because the mean of its divisors is an integer number (35674020).

Almost surely, 24314111165 is an apocalyptic number.

4314111165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4314111165 is an abundant number, since it is smaller than the sum of its proper divisors (5960006595).

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

4314111165 is a wasteful number, since it uses less digits than its factorization.

4314111165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 272 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 4314111165 is about 65681.8937379245. The cubic root of 4314111165 is about 1627.9101983731.

Adding to 4314111165 its reverse (5611114134), we get a palindrome (9925225299).

The spelling of 4314111165 in words is "four billion, three hundred fourteen million, one hundred eleven thousand, one hundred sixty-five".