Search a number
-
+
40443003122401 = 1123374512117777
BaseRepresentation
bin10010011001000010111101…
…10101011011001011100001
312022012022110102110100021101
421030201132311123023201
520300104232244404101
6222003131550354401
711342624214334315
oct1114413665331341
9168168412410241
1040443003122401
1111982865a08850
12465215babba01
1319749b31c3b59
149db647a25b45
154a2036aab401
hex24c85ed5b2e1

40443003122401 has 16 divisors (see below), whose sum is σ = 44314962090048. Its totient is φ = 36603640384000.

The previous prime is 40443003122329. The next prime is 40443003122411. The reversal of 40443003122401 is 10422130034404.

40443003122401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40443003122401 - 231 = 40440855638753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40443003122401.

It is not an unprimeable number, because it can be changed into a prime (40443003122411) 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 15 ways as a sum of consecutive naturals, for example, 18038025 + ... + 20155801.

It is an arithmetic number, because the mean of its divisors is an integer number (2769685130628).

Almost surely, 240443003122401 is an apocalyptic number.

It is an amenable number.

40443003122401 is a deficient number, since it is larger than the sum of its proper divisors (3871958967647).

40443003122401 is a wasteful number, since it uses less digits than its factorization.

40443003122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125472.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40443003122401 its reverse (10422130034404), we get a palindrome (50865133156805).

The spelling of 40443003122401 in words is "forty trillion, four hundred forty-three billion, three million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 11 233 2563 7451 81961 1736083 2117777 19096913 23295547 493442041 5427862451 15779556427 173575120697 3676636647491 40443003122401