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315324432342 = 2323112714929863
BaseRepresentation
bin1001001011010101100…
…11001111111111010110
31010010220111112211221100
410211222303033333112
520131241023313332
6400505200530530
731532014310553
oct4455263177726
91103814484840
10315324432342
11111801470117
1251141620a46
132397294b45a
1411394499a2a
158307c0b67c
hex496accffd6

315324432342 has 96 divisors (see below), whose sum is σ = 715589222400. Its totient is φ = 100235983680.

The previous prime is 315324432331. The next prime is 315324432377. The reversal of 315324432342 is 243234423513.

315324432342 is a `hidden beast` number, since 3 + 1 + 5 + 324 + 4 + 323 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315324432297 and 315324432306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10544103 + ... + 10573965.

It is an arithmetic number, because the mean of its divisors is an integer number (7454054400).

Almost surely, 2315324432342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315324432342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357794611200).

315324432342 is an abundant number, since it is smaller than the sum of its proper divisors (400264790058).

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

315324432342 is a wasteful number, since it uses less digits than its factorization.

315324432342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30178 (or 30175 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 315324432342 its reverse (243234423513), we get a palindrome (558558855855).

The spelling of 315324432342 in words is "three hundred fifteen billion, three hundred twenty-four million, four hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 127 149 186 254 279 298 381 447 558 762 894 1143 1341 2286 2682 3937 4619 7874 9238 11811 13857 18923 23622 27714 29863 35433 37846 41571 56769 59726 70866 83142 89589 113538 170307 179178 268767 340614 537534 586613 925753 1173226 1759839 1851506 2777259 3519678 3792601 4449587 5279517 5554518 7585202 8331777 8899174 10559034 11377803 13348761 16663554 22755606 26697522 34133409 40046283 68266818 80092566 117570631 137937197 235141262 275874394 352711893 413811591 565097549 705423786 827623182 1058135679 1130195098 1241434773 1695292647 2116271358 2482869546 3390585294 5085877941 10171755882 17518024019 35036048038 52554072057 105108144114 157662216171 315324432342