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4130313104 = 24417121249
BaseRepresentation
bin1111011000101111…
…1001001110010000
3101122211220122102102
43312023321032100
531424330004404
61521502535532
7204232040111
oct36613711620
911584818372
104130313104
11182a4aa405
129732975a8
1350a919868
142b2796208
1519291671e
hexf62f9390

4130313104 has 60 divisors (see below), whose sum is σ = 8321407500. Its totient is φ = 1984819200.

The previous prime is 4130313091. The next prime is 4130313151. The reversal of 4130313104 is 4013130314.

It can be written as a sum of positive squares in 2 ways, for example, as 806560000 + 3323753104 = 28400^2 + 57652^2 .

It is a super-2 number, since 2×41303131042 = 34118972674148229632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3306272 + ... + 3307520.

It is an arithmetic number, because the mean of its divisors is an integer number (138690125).

Almost surely, 24130313104 is an apocalyptic number.

It is an amenable number.

4130313104 is an abundant number, since it is smaller than the sum of its proper divisors (4191094396).

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

4130313104 is a wasteful number, since it uses less digits than its factorization.

4130313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4130313104 is about 64267.5120414662. The cubic root of 4130313104 is about 1604.4554337609.

Adding to 4130313104 its reverse (4013130314), we get a palindrome (8143443418).

The spelling of 4130313104 in words is "four billion, one hundred thirty million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 41 71 82 142 164 284 328 568 656 1136 1249 2498 2911 4996 5041 5822 9992 10082 11644 19984 20164 23288 40328 46576 51209 80656 88679 102418 177358 204836 206681 354716 409672 413362 709432 819344 826724 1418864 1653448 3306896 3635839 6296209 7271678 12592418 14543356 25184836 29086712 50369672 58173424 100739344 258144569 516289138 1032578276 2065156552 4130313104