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4144411101 = 323112953201
BaseRepresentation
bin1111011100000110…
…1011000111011101
3101200211102220020110
43313001223013131
531441432123401
61523125040233
7204462625125
oct36701530735
911624386213
104144411101
111837459446
12977b56079
1351081477c
142b45c5c85
15193c9d9d6
hexf706b1dd

4144411101 has 16 divisors (see below), whose sum is σ = 5771352960. Its totient is φ = 2640422400.

The previous prime is 4144411099. The next prime is 4144411123. The reversal of 4144411101 is 1011144414.

It is not a de Polignac number, because 4144411101 - 21 = 4144411099 is a prime.

It is a super-2 number, since 2×41444111012 = 34352286748184064402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144411001) 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, 51301 + ... + 104501.

It is an arithmetic number, because the mean of its divisors is an integer number (360709560).

Almost surely, 24144411101 is an apocalyptic number.

It is an amenable number.

4144411101 is a deficient number, since it is larger than the sum of its proper divisors (1626941859).

4144411101 is a wasteful number, since it uses less digits than its factorization.

4144411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54356.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 4144411101 is about 64377.1007501891. The cubic root of 4144411101 is about 1606.2788565200.

Adding to 4144411101 its reverse (1011144414), we get a palindrome (5155555515).

The spelling of 4144411101 in words is "four billion, one hundred forty-four million, four hundred eleven thousand, one hundred one".

Divisors: 1 3 23 69 1129 3387 25967 53201 77901 159603 1223623 3670869 60063929 180191787 1381470367 4144411101