Search a number
-
+
44540274240 = 26325711219312
BaseRepresentation
bin101001011110110011…
…101010011001000000
311020222002101100212200
4221132303222121000
51212204302233430
632243404353200
73134515040640
oct513663523100
9136862340780
1044540274240
1117986907300
128770545800
13427a8ba677
14222759c520
15125a3cd460
hexa5ecea640

44540274240 has 1512 divisors, whose sum is σ = 209324082240. Its totient is φ = 8485171200.

The previous prime is 44540274211. The next prime is 44540274253. The reversal of 44540274240 is 4247204544.

44540274240 is a `hidden beast` number, since 4 + 4 + 5 + 402 + 7 + 4 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44540274195 and 44540274204.

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 215 ways as a sum of consecutive naturals, for example, 1436783025 + ... + 1436783055.

Almost surely, 244540274240 is an apocalyptic number.

44540274240 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 44540274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104662041120).

44540274240 is an abundant number, since it is smaller than the sum of its proper divisors (164783808000).

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

44540274240 is a wasteful number, since it uses less digits than its factorization.

44540274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 44540274240 its reverse (4247204544), we get a palindrome (48787478784).

The spelling of 44540274240 in words is "forty-four billion, five hundred forty million, two hundred seventy-four thousand, two hundred forty".