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14257328880 = 243559405537
BaseRepresentation
bin11010100011100110…
…11001001011110000
31100210121200100102210
431101303121023300
5213144334011010
610314424012120
71013211203334
oct152163311360
940717610383
1014257328880
116056988233
12291a901040
131462a193a2
1499373d7c4
15586a13b20
hex351cd92f0

14257328880 has 40 divisors (see below), whose sum is σ = 44197720272. Its totient is φ = 3801954304.

The previous prime is 14257328867. The next prime is 14257328887. The reversal of 14257328880 is 8882375241.

14257328880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14257328887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29702529 + ... + 29703008.

Almost surely, 214257328880 is an apocalyptic number.

14257328880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14257328880 is an abundant number, since it is smaller than the sum of its proper divisors (29940391392).

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

14257328880 is a wasteful number, since it uses less digits than its factorization.

14257328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59405553 (or 59405547 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 14257328880 in words is "fourteen billion, two hundred fifty-seven million, three hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 59405537 118811074 178216611 237622148 297027685 356433222 475244296 594055370 712866444 891083055 950488592 1188110740 1425732888 1782166110 2376221480 2851465776 3564332220 4752442960 7128664440 14257328880