Search a number
-
+
1044323120001 = 37291714816289
BaseRepresentation
bin11110011001001101000…
…00100011001110000001
310200211120200012012202010
433030212200203032001
5114102233204320001
62115431100443133
7135310205025150
oct17144640431601
93624520165663
101044323120001
113729931a2a87
1214a4918494a9
137762cba3b75
143878cc39597
151c272a4c8d6
hexf326823381

1044323120001 has 16 divisors (see below), whose sum is σ = 1646223638400. Its totient is φ = 576178272768.

The previous prime is 1044323119991. The next prime is 1044323120047. The reversal of 1044323120001 is 1000213234401.

It is not a de Polignac number, because 1044323120001 - 211 = 1044323117953 is a prime.

It is a super-2 number, since 2×10443231200012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1044323120001.

It is not an unprimeable number, because it can be changed into a prime (1044323120501) 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, 857407536 + ... + 857408753.

It is an arithmetic number, because the mean of its divisors is an integer number (102888977400).

Almost surely, 21044323120001 is an apocalyptic number.

It is an amenable number.

1044323120001 is a deficient number, since it is larger than the sum of its proper divisors (601900518399).

1044323120001 is a wasteful number, since it uses less digits than its factorization.

1044323120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714816328.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1044323120001 its reverse (1000213234401), we get a palindrome (2044536354402).

The spelling of 1044323120001 in words is "one trillion, forty-four billion, three hundred twenty-three million, one hundred twenty thousand, one".

Divisors: 1 3 7 21 29 87 203 609 1714816289 5144448867 12003714023 36011142069 49729672381 149189017143 348107706667 1044323120001