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4141316464 = 242937463521
BaseRepresentation
bin1111011011010111…
…0111100101110000
3101200121121200012021
43312311313211300
531440134111324
61522534441224
7204424415635
oct36665674560
911617550167
104141316464
11183573539a
12976b03214
1350cca001c
142b401c18c
1519388bae4
hexf6d77970

4141316464 has 80 divisors (see below), whose sum is σ = 8559630720. Its totient is φ = 1937295360.

The previous prime is 4141316453. The next prime is 4141316489. The reversal of 4141316464 is 4646131414.

It is a congruent number.

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, 7948524 + ... + 7949044.

It is an arithmetic number, because the mean of its divisors is an integer number (106995384).

Almost surely, 24141316464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141316464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279815360).

4141316464 is an abundant number, since it is smaller than the sum of its proper divisors (4418314256).

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

4141316464 is a wasteful number, since it uses less digits than its factorization.

4141316464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 4141316464 is about 64353.0610305368. The cubic root of 4141316464 is about 1605.8789534843.

Adding to 4141316464 its reverse (4646131414), we get a palindrome (8787447878).

The spelling of 4141316464 in words is "four billion, one hundred forty-one million, three hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 463 464 521 592 926 1042 1073 1852 2084 2146 3704 4168 4292 7408 8336 8584 13427 15109 17131 17168 19277 26854 30218 34262 38554 53708 60436 68524 77108 107416 120872 137048 154216 214832 241223 241744 274096 308432 482446 496799 559033 964892 993598 1118066 1929784 1987196 2236132 3859568 3974392 4472264 6995467 7948784 8925251 8944528 13990934 17850502 27981868 35701004 55963736 71402008 111927472 142804016 258832279 517664558 1035329116 2070658232 4141316464