Search a number
-
+
4144400040414 = 232423285073603
BaseRepresentation
bin111100010011110001011…
…111100000000111011110
3112200012102100211210102010
4330103301133200013132
51020400212402243124
612451524444012050
7605265045046434
oct74236137400736
915605370753363
104144400040414
1113586a2862247
1256b267231026
13240a7a135c2a
14104839096d54
1572c13122529
hex3c4f17e01de

4144400040414 has 16 divisors (see below), whose sum is σ = 8292220993152. Its totient is φ = 1380896528088.

The previous prime is 4144400040359. The next prime is 4144400040419. The reversal of 4144400040414 is 4140400044414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144400040419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142522264 + ... + 142551339.

It is an arithmetic number, because the mean of its divisors is an integer number (518263812072).

Almost surely, 24144400040414 is an apocalyptic number.

4144400040414 is an abundant number, since it is smaller than the sum of its proper divisors (4147820952738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144400040414 is a wasteful number, since it uses less digits than its factorization.

4144400040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285076031.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4144400040414 its reverse (4140400044414), we get a palindrome (8284800084828).

The spelling of 4144400040414 in words is "four trillion, one hundred forty-four billion, four hundred million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 2423 4846 7269 14538 285073603 570147206 855220809 1710441618 690733340069 1381466680138 2072200020207 4144400040414