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14441131234112 = 261138775290939
BaseRepresentation
bin1101001000100101011001…
…1111110101001101000000
31220010120002021011111201112
43102021112133311031000
53343100414043442422
650414055240222452
73020223460104032
oct322112637651500
956116067144645
1014441131234112
1146684a4113a50
12175295576aa28
13809a3cb1012b
1437cd5114bc52
151a09a8783ee2
hexd22567f5340

14441131234112 has 56 divisors (see below), whose sum is σ = 31269836347680. Its totient is φ = 6562456220160.

The previous prime is 14441131234111. The next prime is 14441131234129. The reversal of 14441131234112 is 21143213114441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441131234111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83939 + ... + 5374877.

It is an arithmetic number, because the mean of its divisors is an integer number (558389934780).

Almost surely, 214441131234112 is an apocalyptic number.

It is an amenable number.

14441131234112 is an abundant number, since it is smaller than the sum of its proper divisors (16828705113568).

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

14441131234112 is a wasteful number, since it uses less digits than its factorization.

14441131234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294839 (or 5294829 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

Adding to 14441131234112 its reverse (21143213114441), we get a palindrome (35584344348553).

The spelling of 14441131234112 in words is "fourteen trillion, four hundred forty-one billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3877 7754 15508 31016 42647 62032 85294 124064 170588 248128 341176 682352 1364704 2729408 5290939 10581878 21163756 42327512 58200329 84655024 116400658 169310048 232801316 338620096 465602632 931205264 1862410528 3724821056 20512970503 41025941006 82051882012 164103764024 225642675533 328207528048 451285351066 656415056096 902570702132 1312830112192 1805141404264 3610282808528 7220565617056 14441131234112