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14020330320 = 24325314491399
BaseRepresentation
bin11010000111010110…
…10100001101010000
31100012002201120112100
431003223110031100
5212203201032240
610235120200400
71004302561413
oct150353241520
940162646470
1014020330320
115a45124757
122873469100
1314258a9759
14970089b7a
15570cebe30
hex343ad4350

14020330320 has 240 divisors, whose sum is σ = 48746880000. Its totient is φ = 3607511040.

The previous prime is 14020330277. The next prime is 14020330327. The reversal of 14020330320 is 2303302041.

14020330320 is a `hidden beast` number, since 14 + 0 + 2 + 0 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×140203303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14020330293 and 14020330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020330327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10020981 + ... + 10022379.

It is an arithmetic number, because the mean of its divisors is an integer number (203112000).

Almost surely, 214020330320 is an apocalyptic number.

14020330320 is a gapful number since it is divisible by the number (10) 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 14020330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440000).

14020330320 is an abundant number, since it is smaller than the sum of its proper divisors (34726549680).

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

14020330320 is a wasteful number, since it uses less digits than its factorization.

14020330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 14020330320 its reverse (2303302041), we get a palindrome (16323632361).

The spelling of 14020330320 in words is "fourteen billion, twenty million, three hundred thirty thousand, three hundred twenty".