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1314014334336 = 273311372833301
BaseRepresentation
bin10011000111110001010…
…110111000110110000000
311122121200220210101211000
4103013301112320312000
5133012100132144321
62443352211252000
7163635333361104
oct23076126706600
94577626711730
101314014334336
114672a7920a90
121927b88aa000
1396bac684972
1447854913904
15242a943a826
hex131f15b8d80

1314014334336 has 512 divisors, whose sum is σ = 4361746521600. Its totient is φ = 385938432000.

The previous prime is 1314014334319. The next prime is 1314014334361. The reversal of 1314014334336 is 6334334104131.

1314014334336 is a `hidden beast` number, since 1 + 3 + 140 + 143 + 343 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1314014334336.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 398063886 + ... + 398067186.

It is an arithmetic number, because the mean of its divisors is an integer number (8519036175).

Almost surely, 21314014334336 is an apocalyptic number.

1314014334336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314014334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180873260800).

1314014334336 is an abundant number, since it is smaller than the sum of its proper divisors (3047732187264).

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

1314014334336 is a wasteful number, since it uses less digits than its factorization.

1314014334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 1314014334336 its reverse (6334334104131), we get a palindrome (7648348438467).

The spelling of 1314014334336 in words is "one trillion, three hundred fourteen billion, fourteen million, three hundred thirty-four thousand, three hundred thirty-six".