Search a number
-
+
4144010104414 = 210120514901507
BaseRepresentation
bin111100010011011010010…
…000000000111001011110
3112200011102012002222210001
4330103122100000321132
51020343413041320124
612451422034204514
7605252301461665
oct74233220007136
915604365088701
104144010104414
111358512740594
1256b17872373a
13240a1740937b
141047dd391ddc
1572bddc9ab44
hex3c4da400e5e

4144010104414 has 8 divisors (see below), whose sum is σ = 6277559861448. Its totient is φ = 2051490150600.

The previous prime is 4144010104361. The next prime is 4144010104417.

It is a happy number.

4144010104414 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×41440101044143 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144010104417) 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 3 ways as a sum of consecutive naturals, for example, 10257450552 + ... + 10257450955.

It is an arithmetic number, because the mean of its divisors is an integer number (784694982681).

Almost surely, 24144010104414 is an apocalyptic number.

4144010104414 is a deficient number, since it is larger than the sum of its proper divisors (2133549757034).

4144010104414 is a wasteful number, since it uses less digits than its factorization.

4144010104414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514901610.

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

It can be divided in two parts, 4144010 and 104414, that added together give a palindrome (4248424).

The spelling of 4144010104414 in words is "four trillion, one hundred forty-four billion, ten million, one hundred four thousand, four hundred fourteen".

Divisors: 1 2 101 202 20514901507 41029803014 2072005052207 4144010104414