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4144117406 = 2111350328807
BaseRepresentation
bin1111011100000010…
…0011011010011110
3101200210212222100212
43313000203122132
531441343224111
61523114452422
7204460262642
oct36700433236
911623788325
104144117406
111837278820
12977a34112
13510740ba0
142b454ac22
15193c4198b
hexf702369e

4144117406 has 32 divisors (see below), whose sum is σ = 7317692928. Its totient is φ = 1735273440.

The previous prime is 4144117403. The next prime is 4144117499. The reversal of 4144117406 is 6047114414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144117403) 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, 129455 + ... + 158261.

It is an arithmetic number, because the mean of its divisors is an integer number (228677904).

Almost surely, 24144117406 is an apocalyptic number.

4144117406 is a deficient number, since it is larger than the sum of its proper divisors (3173575522).

4144117406 is a wasteful number, since it uses less digits than its factorization.

4144117406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29336.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4144117406 is about 64374.8196579998. The cubic root of 4144117406 is about 1606.2409124711.

The spelling of 4144117406 in words is "four billion, one hundred forty-four million, one hundred seventeen thousand, four hundred six".

Divisors: 1 2 11 13 22 26 143 286 503 1006 5533 6539 11066 13078 28807 57614 71929 143858 316877 374491 633754 748982 4119401 8238802 14489921 28979842 159389131 188368973 318778262 376737946 2072058703 4144117406