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44042040000 = 263254717477
BaseRepresentation
bin101001000001000111…
…000011001011000000
311012200100212102222200
4221001013003023000
51210144230240000
632122125433200
73116255106660
oct510107031300
9135610772880
1044042040000
1117750646572
12865170b800
1341cb6031ca
1421bb3461a0
15122b7b3500
hexa411c32c0

44042040000 has 420 divisors, whose sum is σ = 180293400144. Its totient is φ = 10066176000.

The previous prime is 44042039999. The next prime is 44042040001. The reversal of 44042040000 is 4024044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44042039999) and next prime (44042040001).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (44042040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2511262 + ... + 2528738.

Almost surely, 244042040000 is an apocalyptic number.

44042040000 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 44042040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90146700072).

44042040000 is an abundant number, since it is smaller than the sum of its proper divisors (136251360144).

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

44042040000 is a wasteful number, since it uses less digits than its factorization.

44042040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17522 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 44042040000 its reverse (4024044), we get a palindrome (44046064044).

The spelling of 44042040000 in words is "forty-four billion, forty-two million, forty thousand", and thus it is an eban number.