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14220246480 = 24351141791663
BaseRepresentation
bin11010011111001011…
…11011110111010000
31100201000220100221120
431033211323313100
5213110340341410
610311021122240
71012251046356
oct151745736720
940630810846
1014220246480
116037a5a720
12290a3b9380
13145813483b
1498c8497d6
1558363b570
hex34f97bdd0

14220246480 has 320 divisors, whose sum is σ = 49916805120. Its totient is φ = 3318681600.

The previous prime is 14220246451. The next prime is 14220246497. The reversal of 14220246480 is 8464202241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8550129 + ... + 8551791.

It is an arithmetic number, because the mean of its divisors is an integer number (155990016).

Almost surely, 214220246480 is an apocalyptic number.

14220246480 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 14220246480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958402560).

14220246480 is an abundant number, since it is smaller than the sum of its proper divisors (35696558640).

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

14220246480 is a wasteful number, since it uses less digits than its factorization.

14220246480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14220246480 in words is "fourteen billion, two hundred twenty million, two hundred forty-six thousand, four hundred eighty".