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14722440480 = 25325117871181
BaseRepresentation
bin11011011011000011…
…01001110100100000
31102000000212110121100
431231201221310200
5220122421043410
610432520554400
71030556451666
oct155541516440
942000773540
1014722440480
116275485490
122a2a622a00
1315081a7457
149d9412c36
155b27898c0
hex36d869d20

14722440480 has 288 divisors, whose sum is σ = 54923738688. Its totient is φ = 3561523200.

The previous prime is 14722440413. The next prime is 14722440493. The reversal of 14722440480 is 8404422741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12465490 + ... + 12466670.

It is an arithmetic number, because the mean of its divisors is an integer number (190707426).

Almost surely, 214722440480 is an apocalyptic number.

14722440480 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 14722440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461869344).

14722440480 is an abundant number, since it is smaller than the sum of its proper divisors (40201298208).

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

14722440480 is a wasteful number, since it uses less digits than its factorization.

14722440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 14722440480 in words is "fourteen billion, seven hundred twenty-two million, four hundred forty thousand, four hundred eighty".