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14001341310 = 232511233716619
BaseRepresentation
bin11010000101000101…
…11000001101111110
31100010202222211111200
431002202320031332
5212133320410220
610233201200330
71003652303025
oct150242701576
940122884450
1014001341310
115a35434a60
1228690300a6
13142198b558
1496b7458bc
1556e2ea890
hex3428b837e

14001341310 has 192 divisors, whose sum is σ = 42562091520. Its totient is φ = 3158749440.

The previous prime is 14001341309. The next prime is 14001341329. The reversal of 14001341310 is 1314310041.

14001341310 is a `hidden beast` number, since 1 + 400 + 134 + 131 + 0 = 666.

14001341310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140013413102 (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 Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 834181 + ... + 850799.

It is an arithmetic number, because the mean of its divisors is an integer number (221677560).

Almost surely, 214001341310 is an apocalyptic number.

14001341310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001341310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21281045760).

14001341310 is an abundant number, since it is smaller than the sum of its proper divisors (28560750210).

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

14001341310 is a wasteful number, since it uses less digits than its factorization.

14001341310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703 (or 16700 counting only the distinct ones).

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

Adding to 14001341310 its reverse (1314310041), we get a palindrome (15315651351).

The spelling of 14001341310 in words is "fourteen billion, one million, three hundred forty-one thousand, three hundred ten".