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4314113604 = 2232461259949
BaseRepresentation
bin1000000010010010…
…00010011001000100
3102010122202200022100
410001021002121010
532313403113404
61552030232100
7211623234453
oct40111023104
912118680270
104314113604
111914228449
12a04955630
13539a21558
142ccd5cb9a
151a3b20d39
hex101242644

4314113604 has 36 divisors (see below), whose sum is σ = 10928817900. Its totient is φ = 1434912960.

The previous prime is 4314113591. The next prime is 4314113621. The reversal of 4314113604 is 4063114134.

4314113604 is a `hidden beast` number, since 4 + 3 + 1 + 41 + 13 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2342753604 + 1971360000 = 48402^2 + 44400^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×43141136042 = 37223152376435737632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113379 + ... + 146570.

It is an arithmetic number, because the mean of its divisors is an integer number (303578275).

Almost surely, 24314113604 is an apocalyptic number.

It is an amenable number.

4314113604 is an abundant number, since it is smaller than the sum of its proper divisors (6614704296).

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

4314113604 is a wasteful number, since it uses less digits than its factorization.

4314113604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260420 (or 260415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4314113604 is about 65681.9123046825. The cubic root of 4314113604 is about 1627.9105051549.

Adding to 4314113604 its reverse (4063114134), we get a palindrome (8377227738).

The spelling of 4314113604 in words is "four billion, three hundred fourteen million, one hundred thirteen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 259949 519898 779847 1039796 1559694 2339541 3119388 4679082 9358164 119836489 239672978 359509467 479345956 719018934 1078528401 1438037868 2157056802 4314113604