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14412220224 = 263162146307
BaseRepresentation
bin11010110110000100…
…10000011101000000
31101012102010122102020
431123002100131000
5214004012021344
610342035521440
71020101564523
oct153302203500
941172118366
1014412220224
116126360406
122962759280
131488b3b77c
149aa13cbba
1559540c719
hex35b090740

14412220224 has 56 divisors (see below), whose sum is σ = 38156680608. Its totient is φ = 4801006080.

The previous prime is 14412220213. The next prime is 14412220241. The reversal of 14412220224 is 42202221441.

It is a happy number.

It is a super-2 number, since 2×144122202242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14412220194 and 14412220203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288079 + ... + 334385.

Almost surely, 214412220224 is an apocalyptic number.

It is an amenable number.

14412220224 is an abundant number, since it is smaller than the sum of its proper divisors (23744460384).

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

14412220224 is a wasteful number, since it uses less digits than its factorization.

14412220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47943 (or 47933 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14412220224 its reverse (42202221441), we get a palindrome (56614441665).

The spelling of 14412220224 in words is "fourteen billion, four hundred twelve million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1621 3242 4863 6484 9726 12968 19452 25936 38904 46307 51872 77808 92614 103744 138921 155616 185228 277842 311232 370456 555684 740912 1111368 1481824 2222736 2963648 4445472 8890944 75063647 150127294 225190941 300254588 450381882 600509176 900763764 1201018352 1801527528 2402036704 3603055056 4804073408 7206110112 14412220224