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44114310240 = 25357111391813
BaseRepresentation
bin101001000101011010…
…101111010001100000
311012212101212011010020
4221011122233101200
51210321230411430
632133230433440
73121123310250
oct510532572140
9135771764106
1044114310240
1117788418240
128671962880
134210588170
1421c6b99960
151232cdbb10
hexa456af460

44114310240 has 384 divisors, whose sum is σ = 186577800192. Its totient is φ = 8461393920.

The previous prime is 44114310239. The next prime is 44114310241. The reversal of 44114310240 is 4201341144.

It is an interprime number because it is at equal distance from previous prime (44114310239) and next prime (44114310241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44114310240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114310241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434574 + ... + 526386.

It is an arithmetic number, because the mean of its divisors is an integer number (485879688).

Almost surely, 244114310240 is an apocalyptic number.

44114310240 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 44114310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93288900096).

44114310240 is an abundant number, since it is smaller than the sum of its proper divisors (142463489952).

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

44114310240 is a wasteful number, since it uses less digits than its factorization.

44114310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91862 (or 91854 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44114310240 its reverse (4201341144), we get a palindrome (48315651384).

The spelling of 44114310240 in words is "forty-four billion, one hundred fourteen million, three hundred ten thousand, two hundred forty".