Search a number
-
+
1044242928000 = 27365389527
BaseRepresentation
bin11110011001000011011…
…10101001000110000000
310200211101002022001000000
433030201232221012000
5114102102142144000
62115415114000000
7135305212302216
oct17144156510600
93624332261000
101044242928000
11372951a005a8
1214a46aa16000
13776193a728c
1438782322cb6
151c26a9ac000
hexf321ba9180

1044242928000 has 448 divisors, whose sum is σ = 3892636257120. Its totient is φ = 278461670400.

The previous prime is 1044242927993. The next prime is 1044242928017. The reversal of 1044242928000 is 8292424401.

1044242928000 is a `hidden beast` number, since 10 + 442 + 42 + 92 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 11619237 + ... + 11708763.

Almost surely, 21044242928000 is an apocalyptic number.

1044242928000 is a gapful number since it is divisible by the number (10) 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 1044242928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946318128560).

1044242928000 is an abundant number, since it is smaller than the sum of its proper divisors (2848393329120).

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

1044242928000 is an frugal number, since it uses more digits than its factorization.

1044242928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89574 (or 89537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1044242928000 in words is "one trillion, forty-four billion, two hundred forty-two million, nine hundred twenty-eight thousand".