Search a number
-
+
440213340000 = 2535471048127
BaseRepresentation
bin1100110011111101100…
…00100111111101100000
31120002021020001200221210
412121332300213331200
524203024103340000
6534121535350120
743542616436220
oct6317660477540
91502236050853
10440213340000
1115a769a54995
1271396682340
1332686968a95
1417440c26080
15b6b6ec2350
hex667ec27f60

440213340000 has 240 divisors, whose sum is σ = 1650273343488. Its totient is φ = 100620096000.

The previous prime is 440213339957. The next prime is 440213340041. The reversal of 440213340000 is 43312044.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104064 + ... + 944063.

Almost surely, 2440213340000 is an apocalyptic number.

440213340000 is a gapful number since it is divisible by the number (40) 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 440213340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825136671744).

440213340000 is an abundant number, since it is smaller than the sum of its proper divisors (1210060003488).

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

440213340000 is a wasteful number, since it uses less digits than its factorization.

440213340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048167 (or 1048144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 440213340000 its reverse (43312044), we get a palindrome (440256652044).

The spelling of 440213340000 in words is "four hundred forty billion, two hundred thirteen million, three hundred forty thousand".