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4102414434 = 2327311932617
BaseRepresentation
bin1111010010000101…
…1110000001100010
3101120220102020122100
43310201132001202
531400204230214
61515024551230
7203442642636
oct36441360142
911526366570
104102414434
111815784758
12965a82516
13504bcc181
142acbb2dc6
15190255309
hexf485e062

4102414434 has 48 divisors (see below), whose sum is σ = 9021324312. Its totient is φ = 1347093504.

The previous prime is 4102414427. The next prime is 4102414487. The reversal of 4102414434 is 4344142014.

4102414434 is a `hidden beast` number, since 410 + 241 + 4 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4096640025 + 5774409 = 64005^2 + 2403^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4102414398 and 4102414407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566294 + ... + 1568910.

Almost surely, 24102414434 is an apocalyptic number.

4102414434 is an abundant number, since it is smaller than the sum of its proper divisors (4918909878).

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

4102414434 is a wasteful number, since it uses less digits than its factorization.

4102414434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4102414434 is about 64050.0931615248. The cubic root of 4102414434 is about 1600.8347771516.

Adding to 4102414434 its reverse (4344142014), we get a palindrome (8446556448).

The spelling of 4102414434 in words is "four billion, one hundred two million, four hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1193 1314 2386 2617 3579 5234 7158 7851 10737 15702 21474 23553 47106 87089 174178 191041 261267 382082 522534 573123 783801 1146246 1567602 1719369 3122081 3438738 6244162 9366243 18732486 28098729 56197458 227911913 455823826 683735739 1367471478 2051207217 4102414434