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14111442440112 = 2431938569401179
BaseRepresentation
bin1100110101011001001110…
…0000111000111110110000
31211222001002200112110222110
43031112103200320332300
53322200213231040422
650002412425205320
72654342461433553
oct315262340707660
954861080473873
1014111442440112
1145506a1411366
1216baa85630840
137b491b23b9c4
1436add705069a
1519710e97060c
hexcd593838fb0

14111442440112 has 80 divisors (see below), whose sum is σ = 38374311248000. Its totient is φ = 4456118333952.

The previous prime is 14111442440101. The next prime is 14111442440113. The reversal of 14111442440112 is 21104424411141.

It is a happy number.

14111442440112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14111442440112.

It is not an unprimeable number, because it can be changed into a prime (14111442440113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34974339 + ... + 35375517.

It is an arithmetic number, because the mean of its divisors is an integer number (479678890600).

Almost surely, 214111442440112 is an apocalyptic number.

14111442440112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14111442440112 is an abundant number, since it is smaller than the sum of its proper divisors (24262868807888).

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

14111442440112 is a wasteful number, since it uses less digits than its factorization.

14111442440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439778 (or 439772 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 14111442440112 its reverse (21104424411141), we get a palindrome (35215866851253).

The spelling of 14111442440112 in words is "fourteen trillion, one hundred eleven billion, four hundred forty-two million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 38569 77138 115707 154276 231414 308552 401179 462828 617104 732811 802358 925656 1203537 1465622 1604716 1851312 2198433 2407074 2931244 3209432 4396866 4814148 5862488 6418864 7622401 8793732 9628296 11724976 15244802 17587464 19256592 22867203 30489604 35174928 45734406 60979208 91468812 121958416 182937624 365875248 15473072851 30946145702 46419218553 61892291404 92838437106 123784582808 185676874212 247569165616 293988384169 371353748424 587976768338 742707496848 881965152507 1175953536676 1763930305014 2351907073352 3527860610028 4703814146704 7055721220056 14111442440112