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4260934314 = 2337133183337
BaseRepresentation
bin1111110111111000…
…1011001010101010
3101222221200220001000
43331332023022222
532211244344224
61542450335430
7210406226010
oct37576131252
911887626030
104260934314
11189720601a
129aab8a576
1352b9c2010
142c5c788b0
1519e1190c9
hexfdf8b2aa

4260934314 has 256 divisors, whose sum is σ = 12210831360. Its totient is φ = 1071221760.

The previous prime is 4260934291. The next prime is 4260934333. The reversal of 4260934314 is 4134390624.

It is a happy number.

4260934314 is a `hidden beast` number, since 4 + 2 + 609 + 3 + 43 + 1 + 4 = 666.

It is a super-2 number, since 2×42609343142 = 36311122456445301192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12643554 + ... + 12643890.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 24260934314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260934314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105415680).

4260934314 is an abundant number, since it is smaller than the sum of its proper divisors (7949897046).

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

4260934314 is a wasteful number, since it uses less digits than its factorization.

4260934314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4260934314 is about 65275.8325416076. The cubic root of 4260934314 is about 1621.1938456408.

The spelling of 4260934314 in words is "four billion, two hundred sixty million, nine hundred thirty-four thousand, three hundred fourteen".