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14211332144 = 242930627871
BaseRepresentation
bin11010011110000111…
…11011100000110000
31100200102010110202222
431033003323200300
5213101100112034
610310102100212
71012112221142
oct151703734060
940612113688
1014211332144
116032a211a9
12290741a668
131456333199
1498b5a8c92
1558297a12e
hex34f0fb830

14211332144 has 20 divisors (see below), whose sum is σ = 28483920960. Its totient is φ = 6860642880.

The previous prime is 14211332129. The next prime is 14211332147. The reversal of 14211332144 is 44123311241.

14211332144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142113321442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14211332147) 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 3 ways as a sum of consecutive naturals, for example, 15313472 + ... + 15314399.

It is an arithmetic number, because the mean of its divisors is an integer number (1424196048).

Almost surely, 214211332144 is an apocalyptic number.

It is an amenable number.

14211332144 is an abundant number, since it is smaller than the sum of its proper divisors (14272588816).

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

14211332144 is a wasteful number, since it uses less digits than its factorization.

14211332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30627908 (or 30627902 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 14211332144 its reverse (44123311241), we get a palindrome (58334643385).

The spelling of 14211332144 in words is "fourteen billion, two hundred eleven million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 30627871 61255742 122511484 245022968 490045936 888208259 1776416518 3552833036 7105666072 14211332144