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44106310072860 = 223571097191339973
BaseRepresentation
bin10100000011101010011001…
…11100011011101000011100
312210011112002120202222011120
422001311030330123220130
521240114210334312420
6233450054212050540
712201401323545210
oct1201651474335034
9183145076688146
1044106310072860
1113065421206992
124b44122003a50
131b7c290285249
14ac6a84920940
1551748dd97d40
hex281d4cf1ba1c

44106310072860 has 192 divisors, whose sum is σ = 142633264435200. Its totient is φ = 9975051721728.

The previous prime is 44106310072849. The next prime is 44106310072861. The reversal of 44106310072860 is 6827001360144.

It is a super-3 number, since 3×441063100728603 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44106310072861) 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, 32245834 + ... + 33585806.

It is an arithmetic number, because the mean of its divisors is an integer number (742881585600).

Almost surely, 244106310072860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44106310072860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71316632217600).

44106310072860 is an abundant number, since it is smaller than the sum of its proper divisors (98526954362340).

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

44106310072860 is a wasteful number, since it uses less digits than its factorization.

44106310072860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340820 (or 1340818 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 44106310072860 in words is "forty-four trillion, one hundred six billion, three hundred ten million, seventy-two thousand, eight hundred sixty".