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44059542349680 = 243451113431105759
BaseRepresentation
bin10100000010010011010010…
…10111101110011101110000
312210000001101021001110210000
422001021221113232131300
521233332420320142210
6233412401353310000
712165124350503064
oct1201115127563560
9183001337043700
1044059542349680
11130476020322a0
124b3704b705300
131b77a49075470
14ac46c95bbaa4
15516153179ac0
hex2812695ee770

44059542349680 has 800 divisors, whose sum is σ = 183959045867520. Its totient is φ = 9630179112960.

The previous prime is 44059542349657. The next prime is 44059542349727. The reversal of 44059542349680 is 8694324595044.

44059542349680 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 9 + 542 + 3 + 4 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×440595423496802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39292641 + ... + 40398399.

Almost surely, 244059542349680 is an apocalyptic number.

44059542349680 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 44059542349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91979522933760).

44059542349680 is an abundant number, since it is smaller than the sum of its proper divisors (139899503517840).

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

44059542349680 is a wasteful number, since it uses less digits than its factorization.

44059542349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105851 (or 1105836 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 44059542349680 in words is "forty-four trillion, fifty-nine billion, five hundred forty-two million, three hundred forty-nine thousand, six hundred eighty".