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10014230016 = 29337239433
BaseRepresentation
bin10010101001110010…
…10000011000000000
3221211220112121001000
421110321100120000
5131002120330031
64333411412000
7503106356610
oct112471203000
927756477030
1010014230016
11427985425a
121b358b4000
13c379304bb
146addc8a40
153d926e3e6
hex254e50600

10014230016 has 320 divisors, whose sum is σ = 34097817600. Its totient is φ = 2842656768.

The previous prime is 10014229999. The next prime is 10014230021. The reversal of 10014230016 is 61003241001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23127336 + ... + 23127768.

It is an arithmetic number, because the mean of its divisors is an integer number (106555680).

Almost surely, 210014230016 is an apocalyptic number.

10014230016 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 10014230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17048908800).

10014230016 is an abundant number, since it is smaller than the sum of its proper divisors (24083587584).

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

10014230016 is an equidigital number, since it uses as much as digits as its factorization.

10014230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10014230016 its reverse (61003241001), we get a palindrome (71017471017).

The spelling of 10014230016 in words is "ten billion, fourteen million, two hundred thirty thousand, sixteen".