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4314010005 = 325372590997
BaseRepresentation
bin1000000010010001…
…01001000110010101
3102010122120102012100
410001020221012111
532313341310010
61552024112313
7211622323434
oct40110510625
912118512170
104314010005
111914167628
12a04905699
135399b6356
142ccd3311b
151a3b002c0
hex101229195

4314010005 has 24 divisors (see below), whose sum is σ = 7679718072. Its totient is φ = 2238620544.

The previous prime is 4314009979. The next prime is 4314010007. The reversal of 4314010005 is 5000104134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2703272049 + 1610737956 = 51993^2 + 40134^2 .

It is not a de Polignac number, because 4314010005 - 210 = 4314008981 is a prime.

It is a super-2 number, since 2×43140100052 = 37221364646480200050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4314010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293834 + ... + 1297163.

It is an arithmetic number, because the mean of its divisors is an integer number (319988253).

Almost surely, 24314010005 is an apocalyptic number.

4314010005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4314010005 is a deficient number, since it is larger than the sum of its proper divisors (3365708067).

4314010005 is a wasteful number, since it uses less digits than its factorization.

4314010005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591045 (or 2591042 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4314010005 is about 65681.1236581714. The cubic root of 4314010005 is about 1627.8974741852.

Adding to 4314010005 its reverse (5000104134), we get a palindrome (9314114139).

The spelling of 4314010005 in words is "four billion, three hundred fourteen million, ten thousand, five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 2590997 7772991 12954985 23318973 38864955 95866889 116594865 287600667 479334445 862802001 1438003335 4314010005