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14226980544 = 2632729281433
BaseRepresentation
bin11010011111111111…
…00111111011000000
31100201111120111100100
431033333213323000
5213114101334134
610311421322400
71012362224250
oct151777477300
940644514310
1014226980544
11604083a067
122910706400
1314596519aa
1498d6bd960
1558401b999
hex34ffe7ec0

14226980544 has 336 divisors, whose sum is σ = 48495021120. Its totient is φ = 3901685760.

The previous prime is 14226980491. The next prime is 14226980549. The reversal of 14226980544 is 44508962241.

It is a happy number.

14226980544 is a `hidden beast` number, since 1 + 4 + 2 + 26 + 9 + 80 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 14226980544.

It is not an unprimeable number, because it can be changed into a prime (14226980549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32856552 + ... + 32856984.

It is an arithmetic number, because the mean of its divisors is an integer number (144330420).

Almost surely, 214226980544 is an apocalyptic number.

14226980544 is a gapful number since it is divisible by the number (14) 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 14226980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24247510560).

14226980544 is an abundant number, since it is smaller than the sum of its proper divisors (34268040576).

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

14226980544 is a wasteful number, since it uses less digits than its factorization.

14226980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14226980544 in words is "fourteen billion, two hundred twenty-six million, nine hundred eighty thousand, five hundred forty-four".