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4115104441 = 741131109453
BaseRepresentation
bin1111010101000111…
…1000001010111001
3101121210021222001121
43311101320022321
531411431320231
61520200545241
7203655545020
oct36521701271
911553258047
104115104441
111821961968
1296a182221
13507723256
142b07578b7
15191410311
hexf54782b9

4115104441 has 16 divisors (see below), whose sum is σ = 4854503808. Its totient is φ = 3414902400.

The previous prime is 4115104421. The next prime is 4115104457. The reversal of 4115104441 is 1444015114.

It is not a de Polignac number, because 4115104441 - 211 = 4115102393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4115104421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17130 + ... + 92323.

It is an arithmetic number, because the mean of its divisors is an integer number (303406488).

It is a self-describing number.

Almost surely, 24115104441 is an apocalyptic number.

4115104441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4115104441 is a deficient number, since it is larger than the sum of its proper divisors (739399367).

4115104441 is a wasteful number, since it uses less digits than its factorization.

4115104441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109632.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 4115104441 is about 64149.0798141330. The cubic root of 4115104441 is about 1602.4836999485.

Adding to 4115104441 its reverse (1444015114), we get a palindrome (5559119555).

The spelling of 4115104441 in words is "four billion, one hundred fifteen million, one hundred four thousand, four hundred forty-one".

Divisors: 1 7 41 131 287 917 5371 37597 109453 766171 4487573 14338343 31413011 100368401 587872063 4115104441