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312141420213039 = 3251121936784247
BaseRepresentation
bin100011011111001000001011…
…0011110001011001100101111
31111221012102120021002212102200
41012332100112132023030233
5311403111112033304124
63023511442220152543
7122514321243461514
oct10676202636131457
91457172507085380
10312141420213039
119050448422254a
122b013122098753
1310522a6a991521
145711a224d730b
1526147abed9bc9
hex11be41678b32f

312141420213039 has 12 divisors (see below), whose sum is σ = 450871094961456. Its totient is φ = 208094208763392.

The previous prime is 312141420212953. The next prime is 312141420213041. The reversal of 312141420213039 is 930312024141213.

312141420213039 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 414 + 20 + 213 + 0 + 3 + 9 = 666.

It is not a de Polignac number, because 312141420213039 - 29 = 312141420212527 is a prime.

It is a super-2 number, since 2×3121414202130392 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312141420212994 and 312141420213012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141420213089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42617614 + ... + 49401860.

It is an arithmetic number, because the mean of its divisors is an integer number (37572591246788).

Almost surely, 2312141420213039 is an apocalyptic number.

312141420213039 is a deficient number, since it is larger than the sum of its proper divisors (138729674748417).

312141420213039 is a wasteful number, since it uses less digits than its factorization.

312141420213039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896446 (or 11896443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 312141420213039 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, thirty-nine".

Divisors: 1 3 9 5112193 6784247 15336579 20352741 46009737 61058223 34682380023671 104047140071013 312141420213039