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312143423144112 = 2435759732662901
BaseRepresentation
bin100011011111001001000110…
…1110110110000000010110000
31111221012121201211222022100000
41012332102031312300002300
5311403124212311102422
63023512413050030000
7122514422004221640
oct10676221566600260
91457177654868300
10312143423144112
119050531189128a
122b0135a0a18300
1310522cc9923a41
145711b72516520
152614877c7acac
hex11be48ddb00b0

312143423144112 has 480 divisors, whose sum is σ = 1067311572687360. Its totient is φ = 86471222630400.

The previous prime is 312143423144041. The next prime is 312143423144131. The reversal of 312143423144112 is 211441324341213.

312143423144112 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 3 + 4 + 231 + 4 + 411 + 2 = 666.

It is a super-2 number, since 2×3121434231441122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115887862 + ... + 118550762.

It is an arithmetic number, because the mean of its divisors is an integer number (2223565776432).

Almost surely, 2312143423144112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312143423144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533655786343680).

312143423144112 is an abundant number, since it is smaller than the sum of its proper divisors (755168149543248).

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

312143423144112 is a wasteful number, since it uses less digits than its factorization.

312143423144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663063 (or 2663045 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 312143423144112 its reverse (211441324341213), we get a palindrome (523584747485325).

The spelling of 312143423144112 in words is "three hundred twelve trillion, one hundred forty-three billion, four hundred twenty-three million, one hundred forty-four thousand, one hundred twelve".