Search a number
-
+
2044433031120 = 24325191129132371
BaseRepresentation
bin11101110000000001101…
…101000101111111010000
321020110001001102200221100
4131300001231011333100
5231443444323443440
64203111035024400
7300463646015604
oct35600155057720
97213031380840
102044433031120
11719048169807
1229028459b100
1311aa34b7346c
1470d45ad3504
15382a8c75230
hex1dc01b45fd0

2044433031120 has 240 divisors, whose sum is σ = 7233706209600. Its totient is φ = 516026972160.

The previous prime is 2044433031107. The next prime is 2044433031143. The reversal of 2044433031120 is 211303344402.

2044433031120 is a `hidden beast` number, since 204 + 4 + 4 + 330 + 3 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15378535 + ... + 15510905.

It is an arithmetic number, because the mean of its divisors is an integer number (30140442540).

Almost surely, 22044433031120 is an apocalyptic number.

2044433031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044433031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616853104800).

2044433031120 is an abundant number, since it is smaller than the sum of its proper divisors (5189273178480).

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

2044433031120 is a wasteful number, since it uses less digits than its factorization.

2044433031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133538 (or 133529 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2044433031120 its reverse (211303344402), we get a palindrome (2255736375522).

The spelling of 2044433031120 in words is "two trillion, forty-four billion, four hundred thirty-three million, thirty-one thousand, one hundred twenty".