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5440240944600 = 23352721124596841
BaseRepresentation
bin100111100101010011110…
…1000010000010111011000
3201021002012202010021202120
41033022213220100113120
51203113103140211400
615323113455501240
71101021146022300
oct117124750202730
921232182107676
105440240944600
111808214206170
1273a431827820
13306021676917
1414b448116600
15967a6d47ca0
hex4f2a7a105d8

5440240944600 has 576 divisors, whose sum is σ = 21413478556800. Its totient is φ = 1129814784000.

The previous prime is 5440240944571. The next prime is 5440240944601. The reversal of 5440240944600 is 64490420445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440240944601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795237180 + ... + 795244020.

It is an arithmetic number, because the mean of its divisors is an integer number (37176178050).

Almost surely, 25440240944600 is an apocalyptic number.

5440240944600 is a gapful number since it is divisible by the number (50) 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 5440240944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706739278400).

5440240944600 is an abundant number, since it is smaller than the sum of its proper divisors (15973237612200).

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

5440240944600 is a wasteful number, since it uses less digits than its factorization.

5440240944600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 5440240944600 in words is "five trillion, four hundred forty billion, two hundred forty million, nine hundred forty-four thousand, six hundred".