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315209416841 = 11732779531487
BaseRepresentation
bin1001001011000111111…
…00100000000010001001
31010010121111010110022222
410211203330200002021
520131022102314331
6400445531423425
731526116556444
oct4454374400211
91103544113288
10315209416841
11111752553290
125110abb4b75
1323954b7b247
14113830ba65b
1582eca8cb7b
hex4963f20089

315209416841 has 32 divisors (see below), whose sum is σ = 350436284928. Its totient is φ = 281123619840.

The previous prime is 315209416807. The next prime is 315209416843. The reversal of 315209416841 is 148614902513.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-315209416841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 315209416792 and 315209416801.

It is not an unprimeable number, because it can be changed into a prime (315209416843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211976000 + ... + 211977486.

It is an arithmetic number, because the mean of its divisors is an integer number (10951133904).

Almost surely, 2315209416841 is an apocalyptic number.

It is an amenable number.

315209416841 is a deficient number, since it is larger than the sum of its proper divisors (35226868087).

315209416841 is a wasteful number, since it uses less digits than its factorization.

315209416841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 315209416841 in words is "three hundred fifteen billion, two hundred nine million, four hundred sixteen thousand, eight hundred forty-one".

Divisors: 1 11 73 277 803 953 1487 3047 10483 16357 20221 69569 108551 222431 263981 411899 765259 1194061 1417111 2903791 4530889 15588221 19270613 30068627 103449103 211976743 330754897 392539747 1137940133 4317937217 28655401531 315209416841