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434020432144 = 24132086636693
BaseRepresentation
bin1100101000011011010…
…00100011100100010000
31112111021122000101110011
412110031220203210100
524102333212312034
6531215232044304
743233300542245
oct6241550434420
91474248011404
10434020432144
11158081245622
1270148693694
1331c0a929b70
141701455d5cc
15b453481864
hex650da23910

434020432144 has 20 divisors (see below), whose sum is σ = 905600325196. Its totient is φ = 200317122432.

The previous prime is 434020432129. The next prime is 434020432151. The reversal of 434020432144 is 441234020434.

It can be written as a sum of positive squares in 2 ways, for example, as 183279884544 + 250740547600 = 428112^2 + 500740^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043318139 + ... + 1043318554.

Almost surely, 2434020432144 is an apocalyptic number.

It is an amenable number.

434020432144 is an abundant number, since it is smaller than the sum of its proper divisors (471579893052).

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

434020432144 is a wasteful number, since it uses less digits than its factorization.

434020432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086636714 (or 2086636708 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 434020432144 its reverse (441234020434), we get a palindrome (875254452578).

The spelling of 434020432144 in words is "four hundred thirty-four billion, twenty million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2086636693 4173273386 8346546772 16693093544 27126277009 33386187088 54252554018 108505108036 217010216072 434020432144