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14399067312 = 24327195771303
BaseRepresentation
bin11010110100100000…
…00101010010110000
31101011111101102000100
431122100011102300
5213442130123222
610340445552400
71016552024040
oct153220052260
941144342010
1014399067312
116119997433
12295a275700
1314861b4a96
149a84b7720
155941b04ac
hex35a4054b0

14399067312 has 240 divisors, whose sum is σ = 48599349760. Its totient is φ = 3887751168.

The previous prime is 14399067311. The next prime is 14399067313. The reversal of 14399067312 is 21376099341.

It is an interprime number because it is at equal distance from previous prime (14399067311) and next prime (14399067313).

It is not an unprimeable number, because it can be changed into a prime (14399067311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11050053 + ... + 11051355.

Almost surely, 214399067312 is an apocalyptic number.

14399067312 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 14399067312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299674880).

14399067312 is an abundant number, since it is smaller than the sum of its proper divisors (34200282448).

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

14399067312 is a wasteful number, since it uses less digits than its factorization.

14399067312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 14399067312 in words is "fourteen billion, three hundred ninety-nine million, sixty-seven thousand, three hundred twelve".