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4144114414 = 2115314992371
BaseRepresentation
bin1111011100000010…
…0010101011101110
3101200210212211021001
43313000202223232
531441343130124
61523114430514
7204460251136
oct36700425356
911623784231
104144114414
111837276550
12977a3243a
1351073c70b
142b4549ac6
15193c40b44
hexf7022aee

4144114414 has 32 divisors (see below), whose sum is σ = 6916752000. Its totient is φ = 1846135200.

The previous prime is 4144114397. The next prime is 4144114417.

It is a happy number.

4144114414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144114417) 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, 1746649 + ... + 1749019.

It is an arithmetic number, because the mean of its divisors is an integer number (216148500).

Almost surely, 24144114414 is an apocalyptic number.

4144114414 is a deficient number, since it is larger than the sum of its proper divisors (2772637586).

4144114414 is a wasteful number, since it uses less digits than its factorization.

4144114414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936.

The product of its digits is 4096, while the sum is 28.

The square root of 4144114414 is about 64374.7964190956. The cubic root of 4144114414 is about 1606.2405259092.

It can be divided in two parts, 41441 and 14414, that added together give a palindrome (55855).

The spelling of 4144114414 in words is "four billion, one hundred forty-four million, one hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 11 22 53 106 583 1166 1499 2371 2998 4742 16489 26081 32978 52162 79447 125663 158894 251326 873917 1382293 1747834 2764586 3554129 7108258 39095419 78190838 188368837 376737674 2072057207 4144114414