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14107374372 = 223713219193271
BaseRepresentation
bin11010010001101110…
…10111001100100100
31100102011111212112010
431020313113030210
5212342441434442
610251505554220
71006410463230
oct151067271444
940364455463
1014107374372
115a8a277193
122898645970
13143a935100
1497b8675c0
15578792b9c
hex348dd7324

14107374372 has 288 divisors, whose sum is σ = 43261317120. Its totient is φ = 3493601280.

The previous prime is 14107374371. The next prime is 14107374389. The reversal of 14107374372 is 27347370141.

It is a happy number.

14107374372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14107374372.

It is not an unprimeable number, because it can be changed into a prime (14107374371) by changing a digit.

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, 52056597 + ... + 52056867.

Almost surely, 214107374372 is an apocalyptic number.

14107374372 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 14107374372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630658560).

14107374372 is an abundant number, since it is smaller than the sum of its proper divisors (29153942748).

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

14107374372 is a wasteful number, since it uses less digits than its factorization.

14107374372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 14107374372 in words is "fourteen billion, one hundred seven million, three hundred seventy-four thousand, three hundred seventy-two".