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14224036680 = 23325717219531
BaseRepresentation
bin11010011111101000…
…11001001101001000
31100201022000221010100
431033310121031020
5213112323133210
610311234245400
71012325213460
oct151764311510
940638027110
1014224036680
11603a109317
12290b726860
131458b60a69
1498d154ba0
15583b395c0
hex34fd19348

14224036680 has 288 divisors, whose sum is σ = 56125592640. Its totient is φ = 3059804160.

The previous prime is 14224036679. The next prime is 14224036711. The reversal of 14224036680 is 8663042241.

14224036680 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 (36).

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 71 ways as a sum of consecutive naturals, for example, 718515 + ... + 738045.

It is an arithmetic number, because the mean of its divisors is an integer number (194880530).

Almost surely, 214224036680 is an apocalyptic number.

14224036680 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 14224036680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062796320).

14224036680 is an abundant number, since it is smaller than the sum of its proper divisors (41901555960).

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

14224036680 is a wasteful number, since it uses less digits than its factorization.

14224036680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14224036680 in words is "fourteen billion, two hundred twenty-four million, thirty-six thousand, six hundred eighty".