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424114431121 = 17247491008037
BaseRepresentation
bin1100010101111110011…
…00001010010010010001
31111112201021010101200101
412022333030022102101
523422041243243441
6522500244052401
742432644116633
oct6127714122221
91445637111611
10424114431121
111539585a3417
126a243094101
1330cbc5618b4
1416754aa8a53
15b073990231
hex62bf30a491

424114431121 has 8 divisors (see below), whose sum is σ = 449080929000. Its totient is φ = 399149998848.

The previous prime is 424114431077. The next prime is 424114431127. The reversal of 424114431121 is 121134411424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 164259173521 + 259855257600 = 405289^2 + 509760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 424114431121 - 223 = 424106042513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 424114431121.

It is not an unprimeable number, because it can be changed into a prime (424114431127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83286 + ... + 924751.

It is an arithmetic number, because the mean of its divisors is an integer number (56135116125).

Almost surely, 2424114431121 is an apocalyptic number.

It is an amenable number.

424114431121 is a deficient number, since it is larger than the sum of its proper divisors (24966497879).

424114431121 is a wasteful number, since it uses less digits than its factorization.

424114431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032803.

The product of its digits is 3072, while the sum is 28.

Adding to 424114431121 its reverse (121134411424), we get a palindrome (545248842545).

The spelling of 424114431121 in words is "four hundred twenty-four billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 24749 420733 1008037 17136629 24947907713 424114431121