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14444101332 = 2233133741679
BaseRepresentation
bin11010111001110111…
…10111111011010100
31101021122010101002000
431130323313323110
5214040142220312
610345135115300
71020636556413
oct153473677324
941248111060
1014444101332
116142356131
122971372b30
131492621a2b
149b047b47a
15598108adc
hex35cef7ed4

14444101332 has 24 divisors (see below), whose sum is σ = 37447670400. Its totient is φ = 4814700408.

The previous prime is 14444101313. The next prime is 14444101339. The reversal of 14444101332 is 23310144441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14444101296 and 14444101305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444101339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66870732 + ... + 66870947.

It is an arithmetic number, because the mean of its divisors is an integer number (1560319600).

Almost surely, 214444101332 is an apocalyptic number.

14444101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14444101332 is an abundant number, since it is smaller than the sum of its proper divisors (23003569068).

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

14444101332 is a wasteful number, since it uses less digits than its factorization.

14444101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133741692 (or 133741684 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14444101332 its reverse (23310144441), we get a palindrome (37754245773).

The spelling of 14444101332 in words is "fourteen billion, four hundred forty-four million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 133741679 267483358 401225037 534966716 802450074 1203675111 1604900148 2407350222 3611025333 4814700444 7222050666 14444101332