Search a number
-
+
4316085312 = 2637112910067
BaseRepresentation
bin1000000010100001…
…00011110001000000
3102010210110211222120
410001100203301000
532314404212222
61552140404240
7211646056050
oct40120436100
912123424876
104316085312
111915354860
12a05546680
1353a261b46
142cd313560
151a3db015c
hex101423c40

4316085312 has 224 divisors, whose sum is σ = 14729886720. Its totient is φ = 1082296320.

The previous prime is 4316085299. The next prime is 4316085331. The reversal of 4316085312 is 2135806134.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423703 + ... + 433769.

Almost surely, 24316085312 is an apocalyptic number.

4316085312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4316085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364943360).

4316085312 is an abundant number, since it is smaller than the sum of its proper divisors (10413801408).

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

4316085312 is a wasteful number, since it uses less digits than its factorization.

4316085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4316085312 is about 65696.9201104588. The cubic root of 4316085312 is about 1628.1584722996.

The spelling of 4316085312 in words is "four billion, three hundred sixteen million, eighty-five thousand, three hundred twelve".