Search a number
-
+
941332746240 = 2123257197103
BaseRepresentation
bin11011011001010111100…
…11011101000000000000
310022222202002122010212200
431230223303131000000
5110410322140334430
62000235311353200
7125003050215615
oct15545363350000
93288662563780
10941332746240
11333242881907
1213252a522800
136a9c89a05c3
14337bc99a50c
1519746021460
hexdb2bcdd000

941332746240 has 312 divisors, whose sum is σ = 3267886602240. Its totient is φ = 250637647872.

The previous prime is 941332746163. The next prime is 941332746251. The reversal of 941332746240 is 42647233149.

941332746240 is a `hidden beast` number, since 9 + 4 + 1 + 332 + 74 + 6 + 240 = 666.

It is a super-2 number, since 2×9413327462402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132522529 + ... + 132529631.

It is an arithmetic number, because the mean of its divisors is an integer number (10473995520).

Almost surely, 2941332746240 is an apocalyptic number.

941332746240 is a gapful number since it is divisible by the number (90) 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 941332746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633943301120).

941332746240 is an abundant number, since it is smaller than the sum of its proper divisors (2326553856000).

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

941332746240 is a wasteful number, since it uses less digits than its factorization.

941332746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 941332746240 its reverse (42647233149), we get a palindrome (983979979389).

The spelling of 941332746240 in words is "nine hundred forty-one billion, three hundred thirty-two million, seven hundred forty-six thousand, two hundred forty".