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4135142011 = 7111311293659
BaseRepresentation
bin1111011001111001…
…0100001001111011
3101200011222222102211
43312132110021323
531432044021021
61522154235551
7204321061420
oct36636241173
911604888384
104135142011
1118321a8440
12974a25bb7
1350b91a7c0
142b3291d47
1519306c3e1
hexf679427b

4135142011 has 32 divisors (see below), whose sum is σ = 5558515200. Its totient is φ = 2970881280.

The previous prime is 4135141973. The next prime is 4135142029. The reversal of 4135142011 is 1102415314.

It is a cyclic number.

It is not a de Polignac number, because 4135142011 - 27 = 4135141883 is a prime.

It is a super-2 number, since 2×41351420112 = 34198798902274248242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128300 + ... + 1131958.

It is an arithmetic number, because the mean of its divisors is an integer number (173703600).

Almost surely, 24135142011 is an apocalyptic number.

4135142011 is a deficient number, since it is larger than the sum of its proper divisors (1423373189).

4135142011 is a wasteful number, since it uses less digits than its factorization.

4135142011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 4135142011 is about 64305.0698701121. The cubic root of 4135142011 is about 1605.0804669756.

Adding to 4135142011 its reverse (1102415314), we get a palindrome (5237557325).

The spelling of 4135142011 in words is "four billion, one hundred thirty-five million, one hundred forty-two thousand, eleven".

Divisors: 1 7 11 13 77 91 143 1001 1129 3659 7903 12419 14677 25613 40249 47567 86933 102739 161447 281743 332969 523237 1130129 3662659 4131011 28917077 45441121 53703143 318087847 375922001 590734573 4135142011