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40244130240 = 2635612293001
BaseRepresentation
bin100101011110101111…
…001011000111000000
310211212200102122020020
4211132233023013000
51124404444131430
630253215213440
72623200314526
oct453657130700
9124780378206
1040244130240
1116081842776
127971817280
133a4481b322
141d3ab9a316
1510a815bb10
hex95ebcb1c0

40244130240 has 224 divisors, whose sum is σ = 130480368960. Its totient is φ = 10506240000.

The previous prime is 40244130229. The next prime is 40244130247. The reversal of 40244130240 is 4203144204.

It is a happy number.

40244130240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 40244130240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244130247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13408740 + ... + 13411740.

Almost surely, 240244130240 is an apocalyptic number.

40244130240 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 40244130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65240184480).

40244130240 is an abundant number, since it is smaller than the sum of its proper divisors (90236238720).

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

40244130240 is a wasteful number, since it uses less digits than its factorization.

40244130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40244130240 its reverse (4203144204), we get a palindrome (44447274444).

The spelling of 40244130240 in words is "forty billion, two hundred forty-four million, one hundred thirty thousand, two hundred forty".