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4140101119 = 7113111315349
BaseRepresentation
bin1111011011000100…
…1110110111111111
3101200112022221001111
43312301032313333
531434331213434
61522452422451
7204411164440
oct36661166777
911615287044
104140101119
111834a85280
12976617a27
1350c965a9b
142b3bc32c7
151936eb964
hexf6c4edff

4140101119 has 32 divisors (see below), whose sum is σ = 5375692800. Its totient is φ = 3094156800.

The previous prime is 4140101117. The next prime is 4140101129. The reversal of 4140101119 is 9111010414.

It is not a de Polignac number, because 4140101119 - 21 = 4140101117 is a prime.

It is a super-2 number, since 2×41401011192 = 34280874551090104322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140101119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262057 + ... + 277405.

It is an arithmetic number, because the mean of its divisors is an integer number (167990400).

Almost surely, 24140101119 is an apocalyptic number.

4140101119 is a deficient number, since it is larger than the sum of its proper divisors (1235591681).

4140101119 is a wasteful number, since it uses less digits than its factorization.

4140101119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511.

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 4140101119 is about 64343.6175467311. The cubic root of 4140101119 is about 1605.7218466058.

The spelling of 4140101119 in words is "four billion, one hundred forty million, one hundred one thousand, one hundred nineteen".

Divisors: 1 7 11 31 77 113 217 341 791 1243 2387 3503 8701 15349 24521 38533 107443 168839 269731 475819 1181873 1734437 3330733 5234009 12141059 19078807 36638063 53767547 133551649 376372829 591443017 4140101119