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424131242131424 = 25101131228725907
BaseRepresentation
bin110000001101111101100000…
…0000001100111111111100000
32001121201112212111122101100002
41200123323000001213333200
5421042431240441201144
64102015111445315132
7155223320364456212
oct14033730001477740
92047645774571302
10424131242131424
11113161060117123
123b69b586a05aa8
1315287534957c39
1476a40c124a5b2
153407960d9214e
hex181bec0067fe0

424131242131424 has 24 divisors (see below), whose sum is σ = 843275792684808. Its totient is φ = 209965961449600.

The previous prime is 424131242131423. The next prime is 424131242131501.

424131242131424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4241312421314242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131242131423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65614359722 + ... + 65614366185.

It is an arithmetic number, because the mean of its divisors is an integer number (35136491361867).

Almost surely, 2424131242131424 is an apocalyptic number.

It is an amenable number.

424131242131424 is a deficient number, since it is larger than the sum of its proper divisors (419144550553384).

424131242131424 is a wasteful number, since it uses less digits than its factorization.

424131242131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131228726018 (or 131228726010 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 424131242131424 in words is "four hundred twenty-four trillion, one hundred thirty-one billion, two hundred forty-two million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 101 202 404 808 1616 3232 131228725907 262457451814 524914903628 1049829807256 2099659614512 4199319229024 13254101316607 26508202633214 53016405266428 106032810532856 212065621065712 424131242131424