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5041314306 = 2327374432441
BaseRepresentation
bin1001011000111110…
…00101101000000010
3111000100010022010200
410230133011220002
540311034024211
62152124510030
7235633315230
oct45437055002
914010108120
105041314306
112157766066
12b883ab316
13624595722
1435b777950
151e78b7b56
hex12c7c5a02

5041314306 has 96 divisors (see below), whose sum is σ = 12854844288. Its totient is φ = 1397710080.

The previous prime is 5041314301. The next prime is 5041314307. The reversal of 5041314306 is 6034131405.

5041314306 is a `hidden beast` number, since 5 + 0 + 41 + 314 + 306 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5041314306.

It is not an unprimeable number, because it can be changed into a prime (5041314301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2064046 + ... + 2066486.

It is an arithmetic number, because the mean of its divisors is an integer number (133904628).

Almost surely, 25041314306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5041314306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427422144).

5041314306 is an abundant number, since it is smaller than the sum of its proper divisors (7813529982).

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

5041314306 is a wasteful number, since it uses less digits than its factorization.

5041314306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5041314306 is about 71002.2133880346. The cubic root of 5041314306 is about 1714.6727984890.

The spelling of 5041314306 in words is "five billion, forty-one million, three hundred fourteen thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 443 518 666 777 886 1329 1554 2331 2441 2658 3101 3987 4662 4882 6202 7323 7974 9303 14646 16391 17087 18606 21969 27909 32782 34174 43938 49173 51261 55818 90317 98346 102522 114737 147519 153783 180634 229474 270951 295038 307566 344211 541902 632219 688422 812853 1032633 1081363 1264438 1625706 1896657 2065266 2162726 3244089 3793314 5689971 6488178 7569541 9732267 11379942 15139082 19464534 22708623 40010431 45417246 68125869 80020862 120031293 136251738 240062586 280073017 360093879 560146034 720187758 840219051 1680438102 2520657153 5041314306