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4114240123 = 73767237091
BaseRepresentation
bin1111010100111010…
…0101001001111011
3101121201200001102211
43311032211021323
531411221140443
61520130235551
7203645315110
oct36516451173
911551601384
104114240123
111821421554
12969a25bb7
135074aca16
142b05b0907
151912de19d
hexf53a527b

4114240123 has 16 divisors (see below), whose sum is σ = 4901165824. Its totient is φ = 3379955040.

The previous prime is 4114240093. The next prime is 4114240147. The reversal of 4114240123 is 3210424114.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4114240123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4114240094 and 4114240103.

It is not an unprimeable number, because it can be changed into a prime (4114240153) 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 15 ways as a sum of consecutive naturals, for example, 101193 + ... + 135898.

It is an arithmetic number, because the mean of its divisors is an integer number (306322864).

Almost surely, 24114240123 is an apocalyptic number.

4114240123 is a deficient number, since it is larger than the sum of its proper divisors (786925701).

4114240123 is a wasteful number, since it uses less digits than its factorization.

4114240123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237202.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4114240123 is about 64142.3426684745. The cubic root of 4114240123 is about 1602.3714992735.

Adding to 4114240123 its reverse (3210424114), we get a palindrome (7324664237).

The spelling of 4114240123 in words is "four billion, one hundred fourteen million, two hundred forty thousand, one hundred twenty-three".

Divisors: 1 7 37 67 259 469 2479 17353 237091 1659637 8772367 15885097 61406569 111195679 587748589 4114240123