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34142125225 = 52131732812161
BaseRepresentation
bin11111110011000001…
…110111110010101001
310021010102102122222111
4133303001313302221
51024410341001400
623403520122321
72316034163455
oct376301676251
9107112378874
1034142125225
111353038101a
12674a1663a1
1332b1589280
14191c5d7665
15d4c5c53ba
hex7f3077ca9

34142125225 has 48 divisors (see below), whose sum is σ = 46040896944. Its totient is φ = 24966144000.

The previous prime is 34142125189. The next prime is 34142125247. The reversal of 34142125225 is 52252124143.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 15135642729 + 19006482496 = 123027^2 + 137864^2 .

It is not a de Polignac number, because 34142125225 - 221 = 34140028073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15798145 + ... + 15800305.

It is an arithmetic number, because the mean of its divisors is an integer number (959185353).

Almost surely, 234142125225 is an apocalyptic number.

It is an amenable number.

34142125225 is a deficient number, since it is larger than the sum of its proper divisors (11898771719).

34142125225 is a wasteful number, since it uses less digits than its factorization.

34142125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2633 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

Adding to 34142125225 its reverse (52252124143), we get a palindrome (86394249368).

The spelling of 34142125225 in words is "thirty-four billion, one hundred forty-two million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 173 281 325 865 1405 2161 2249 3653 4325 7025 10805 11245 18265 28093 48613 54025 56225 91325 140465 243065 373853 607241 631969 702325 1215325 1869265 3036205 3159845 4860089 7894133 9346325 15181025 15799225 24300445 39470665 105052693 121502225 197353325 525263465 1365685009 2626317325 6828425045 34142125225