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34141430416 = 242973580669
BaseRepresentation
bin11111110010111111…
…001110001010010000
310021010101010100212211
4133302333032022100
51024410201233131
623403453201504
72316025241002
oct376277161220
9107111110784
1034141430416
111352aa46aa5
126749a90294
1332b13a4c42
14191c496372
15d4c4d95b1
hex7f2fce290

34141430416 has 20 divisors (see below), whose sum is σ = 68430023100. Its totient is φ = 16482069632.

The previous prime is 34141430413. The next prime is 34141430417. The reversal of 34141430416 is 61403414143.

It can be written as a sum of positive squares in 2 ways, for example, as 23655670416 + 10485760000 = 153804^2 + 102400^2 .

It is not an unprimeable number, because it can be changed into a prime (34141430413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36789871 + ... + 36790798.

It is an arithmetic number, because the mean of its divisors is an integer number (3421501155).

Almost surely, 234141430416 is an apocalyptic number.

It is an amenable number.

34141430416 is an abundant number, since it is smaller than the sum of its proper divisors (34288592684).

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

34141430416 is a wasteful number, since it uses less digits than its factorization.

34141430416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73580706 (or 73580700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 34141430416 its reverse (61403414143), we get a palindrome (95544844559).

The spelling of 34141430416 in words is "thirty-four billion, one hundred forty-one million, four hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 73580669 147161338 294322676 588645352 1177290704 2133839401 4267678802 8535357604 17070715208 34141430416