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424120021424 = 24112219070259
BaseRepresentation
bin1100010101111111000…
…01011111000110110000
31111112201122122102010122
412022333201133012300
523422044211141144
6522501003545412
742433042462121
oct6127741370660
91445648572118
10424120021424
11153960771500
126a244b2b268
1330cc076b278
1416755722048
15b0741e67ee
hex62bf85f1b0

424120021424 has 30 divisors (see below), whose sum is σ = 903226681980. Its totient is φ = 192781827040.

The previous prime is 424120021417. The next prime is 424120021463.

It is a happy number.

424120021424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 424120021393 and 424120021402.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109533194 + ... + 109537065.

It is an arithmetic number, because the mean of its divisors is an integer number (30107556066).

Almost surely, 2424120021424 is an apocalyptic number.

424120021424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424120021424 is an abundant number, since it is smaller than the sum of its proper divisors (479106660556).

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

424120021424 is a wasteful number, since it uses less digits than its factorization.

424120021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219070289 (or 219070272 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4241200 and 21424, that added together give a palindrome (4262624).

The spelling of 424120021424 in words is "four hundred twenty-four billion, one hundred twenty million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 219070259 438140518 876281036 1752562072 2409772849 3505124144 4819545698 9639091396 19278182792 26507501339 38556365584 53015002678 106030005356 212060010712 424120021424