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4134144324 = 22311317317623
BaseRepresentation
bin1111011001101010…
…0000100101000100
3101200010010021212110
43312122200211010
531431320104244
61522121021020
7204306434622
oct36632404504
911603107773
104134144324
111831686902
12974624770
1350b65b65b
142b30b2512
15192e219b9
hexf66a0944

4134144324 has 48 divisors (see below), whose sum is σ = 9788510592. Its totient is φ = 1357880832.

The previous prime is 4134144281. The next prime is 4134144331. The reversal of 4134144324 is 4234414314.

It is a super-2 number, since 2×41341443242 = 34182298583322833952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4134144291 and 4134144300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225777 + ... + 243399.

It is an arithmetic number, because the mean of its divisors is an integer number (203927304).

Almost surely, 24134144324 is an apocalyptic number.

It is an amenable number.

4134144324 is an abundant number, since it is smaller than the sum of its proper divisors (5654366268).

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

4134144324 is a wasteful number, since it uses less digits than its factorization.

4134144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17916 (or 17914 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4134144324 is about 64297.3119500341. The cubic root of 4134144324 is about 1604.9513705047.

Adding to 4134144324 its reverse (4234414314), we get a palindrome (8368558638).

The spelling of 4134144324 in words is "four billion, one hundred thirty-four million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 113 173 226 339 346 452 519 678 692 1038 1356 2076 17623 19549 35246 39098 52869 58647 70492 78196 105738 117294 211476 234588 1991399 3048779 3982798 5974197 6097558 7965596 9146337 11948394 12195116 18292674 23896788 36585348 344512027 689024054 1033536081 1378048108 2067072162 4134144324