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14053428480 = 2835713131307
BaseRepresentation
bin11010001011010011…
…00100110100000000
31100021102000010200010
431011221210310000
5212240134202410
610242301424520
71005154112460
oct150551446400
940242003603
1014053428480
115a61880903
12288256b140
13142c6c7970
14974623ba0
15573b88c20
hex345a64d00

14053428480 has 576 divisors, whose sum is σ = 55843780608. Its totient is φ = 2932899840.

The previous prime is 14053428469. The next prime is 14053428511. The reversal of 14053428480 is 8482435041.

It is a super-2 number, since 2×140534284802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45776487 + ... + 45776793.

It is an arithmetic number, because the mean of its divisors is an integer number (96951008).

Almost surely, 214053428480 is an apocalyptic number.

14053428480 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 14053428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921890304).

14053428480 is an abundant number, since it is smaller than the sum of its proper divisors (41790352128).

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

14053428480 is a wasteful number, since it uses less digits than its factorization.

14053428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 14053428480 in words is "fourteen billion, fifty-three million, four hundred twenty-eight thousand, four hundred eighty".