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42212411421224 = 23116592556128477
BaseRepresentation
bin10011001100100010101111…
…10010011011001000101000
312112110110121112100001221112
421212101113302123020220
521013102004310434344
6225440040351125452
711614513622613242
oct1146212762331050
9175413545301845
1042212411421224
11124a5201854570
12489906b213888
131a727c85c2815
14a5d13d563092
154d3095aabc9e
hex266457c9b228

42212411421224 has 64 divisors (see below), whose sum is σ = 86481010756800. Its totient is φ = 19156921459200.

The previous prime is 42212411421203. The next prime is 42212411421253.

42212411421224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482319274 + ... + 1482347750.

It is an arithmetic number, because the mean of its divisors is an integer number (1351265793075).

Almost surely, 242212411421224 is an apocalyptic number.

42212411421224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42212411421224 is an abundant number, since it is smaller than the sum of its proper divisors (44268599335576).

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

42212411421224 is a wasteful number, since it uses less digits than its factorization.

42212411421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54714 (or 54710 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 4221241 and 1421224, that added together give a palindrome (5642465).

The spelling of 42212411421224 in words is "forty-two trillion, two hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 659 1318 2636 5272 7249 14498 25561 28477 28996 51122 56954 57992 102244 113908 204488 227816 281171 313247 562342 626494 1124684 1252988 2249368 2505976 16844699 18766343 33689398 37532686 67378796 75065372 134757592 150130744 185291689 206429773 370583378 412859546 727900597 741166756 825719092 1455801194 1482333512 1651438184 2911602388 5823204776 8006906567 16013813134 32027626268 64055252536 479686493423 959372986846 1918745973692 3837491947384 5276551427653 10553102855306 21106205710612 42212411421224