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315024105042 = 2359729322807
BaseRepresentation
bin1001001010110001110…
…01100101111001010010
31010010010120102122100000
410211120321211321102
520130132132330132
6400415311510430
731521406466013
oct4453071457122
91103116378300
10315024105042
11111667992839
1251078b28416
13239256676aa
141136663d00a
1582db68587c
hex4958e65e52

315024105042 has 96 divisors (see below), whose sum is σ = 717601352832. Its totient is φ = 103566242304.

The previous prime is 315024105041. The next prime is 315024105043. The reversal of 315024105042 is 240501420513.

315024105042 is a `hidden beast` number, since 3 + 150 + 2 + 4 + 1 + 0 + 504 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (315024105041) and next prime (315024105043).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 315024104997 and 315024105015.

It is not an unprimeable number, because it can be changed into a prime (315024105041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13801203 + ... + 13824009.

It is an arithmetic number, because the mean of its divisors is an integer number (7475014092).

Almost surely, 2315024105042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315024105042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358800676416).

315024105042 is an abundant number, since it is smaller than the sum of its proper divisors (402577247790).

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

315024105042 is a wasteful number, since it uses less digits than its factorization.

315024105042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23214 (or 23202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 315024105042 its reverse (240501420513), we get a palindrome (555525525555).

The spelling of 315024105042 in words is "three hundred fifteen billion, twenty-four million, one hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 243 291 293 486 582 586 873 879 1746 1758 2619 2637 5238 5274 7857 7911 15714 15822 22807 23571 23733 28421 45614 47142 47466 56842 68421 71199 85263 136842 142398 170526 205263 255789 410526 511578 615789 767367 1231578 1534734 1847367 2212279 2302101 3694734 4424558 4604202 5542101 6636837 6682451 6906303 11084202 13273674 13364902 13812606 19910511 20047353 39821022 40094706 59731533 60142059 119463066 120284118 179194599 180426177 358389198 360852354 537583797 541278531 648197747 1075167594 1082557062 1296395494 1623835593 1944593241 3247671186 3889186482 5833779723 11667559446 17501339169 35002678338 52504017507 105008035014 157512052521 315024105042