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14441410144 = 257228333251
BaseRepresentation
bin11010111001100011…
…00110111001100000
31101021110001122110101
431130301212321200
5214034000111034
610345001312144
71020604650400
oct153461467140
941243048411
1014441410144
116140888207
122970495654
131491bbbb05
149add7a800
15597c76514
hex35cc66e60

14441410144 has 72 divisors (see below), whose sum is σ = 33095259288. Its totient is φ = 6185088000.

The previous prime is 14441410127. The next prime is 14441410163. The reversal of 14441410144 is 44101414441.

It is a happy number.

14441410144 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 2×144414101442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4440519 + ... + 4443769.

It is an arithmetic number, because the mean of its divisors is an integer number (459656379).

Almost surely, 214441410144 is an apocalyptic number.

14441410144 is a gapful number since it is divisible by the number (14) 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 14441410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547629644).

14441410144 is an abundant number, since it is smaller than the sum of its proper divisors (18653849144).

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

14441410144 is a wasteful number, since it uses less digits than its factorization.

14441410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14441410144 its reverse (44101414441), we get a palindrome (58542824585).

The spelling of 14441410144 in words is "fourteen billion, four hundred forty-one million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2833 3251 5666 6502 11332 13004 19831 22664 22757 26008 39662 45328 45514 52016 79324 90656 91028 104032 138817 158648 159299 182056 277634 317296 318598 364112 555268 634592 637196 728224 1110536 1274392 2221072 2548784 4442144 5097568 9210083 18420166 36840332 64470581 73680664 128941162 147361328 257882324 294722656 451294067 515764648 902588134 1031529296 1805176268 2063058592 3610352536 7220705072 14441410144