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14316246518112 = 25327211196177867
BaseRepresentation
bin1101000001010100001011…
…0010011100100101100000
31212200121201211112121120200
43100111002302130211200
53334024133102034422
650240443131305200
73005212635404100
oct320250262344540
955617654477520
1014316246518112
11461a538a32460
121732701bab200
137cb02992c686
14376ca5193200
1519c5e9a4a2ac
hexd0542c9c960

14316246518112 has 864 divisors, whose sum is σ = 54478209502080. Its totient is φ = 3516638146560.

The previous prime is 14316246518099. The next prime is 14316246518143. The reversal of 14316246518112 is 21181564261341.

14316246518112 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 6 + 2 + 465 + 181 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1819780803 + ... + 1819788669.

It is an arithmetic number, because the mean of its divisors is an integer number (63053483220).

Almost surely, 214316246518112 is an apocalyptic number.

14316246518112 is a gapful number since it is divisible by the number (12) 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 14316246518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27239104751040).

14316246518112 is an abundant number, since it is smaller than the sum of its proper divisors (40161962983968).

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

14316246518112 is a wasteful number, since it uses less digits than its factorization.

14316246518112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544 (or 8526 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 14316246518112 in words is "fourteen trillion, three hundred sixteen billion, two hundred forty-six million, five hundred eighteen thousand, one hundred twelve".