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13443954480 = 24335112373337
BaseRepresentation
bin11001000010101001…
…00111011100110000
31021200221011122112000
430201110213130300
5210013123020410
610102010334000
7654103504365
oct144124473460
937627148460
1013443954480
115779841a90
12273242a300
131363362a68
149176d246c
1553a3e8dc0
hex321527730

13443954480 has 640 divisors, whose sum is σ = 53593712640. Its totient is φ = 3065610240.

The previous prime is 13443954449. The next prime is 13443954497. The reversal of 13443954480 is 8445934431.

13443954480 is a `hidden beast` number, since 1 + 3 + 443 + 95 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39892872 + ... + 39893208.

It is an arithmetic number, because the mean of its divisors is an integer number (83740176).

Almost surely, 213443954480 is an apocalyptic number.

13443954480 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 13443954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26796856320).

13443954480 is an abundant number, since it is smaller than the sum of its proper divisors (40149758160).

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

13443954480 is a wasteful number, since it uses less digits than its factorization.

13443954480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13443954480 in words is "thirteen billion, four hundred forty-three million, nine hundred fifty-four thousand, four hundred eighty".