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44343214341120 = 2103252334199857
BaseRepresentation
bin10100001010100011101011…
…00010011111110000000000
312211000011120211221201120100
422011101311202133300000
521303004400332403440
6234150554052442400
712224456121603102
oct1205216542376000
9184004524851510
1044343214341120
111314694051a042
124b82018919400
131b98716194636
14ad4319da7572
1551d707150230
hex28547589fc00

44343214341120 has 528 divisors, whose sum is σ = 154691484423840. Its totient is φ = 11744814563328.

The previous prime is 44343214341059. The next prime is 44343214341157. The reversal of 44343214341120 is 2114341234344.

44343214341120 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 3 + 214 + 3 + 411 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498647232 + ... + 4498657088.

Almost surely, 244343214341120 is an apocalyptic number.

44343214341120 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 44343214341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77345742211920).

44343214341120 is an abundant number, since it is smaller than the sum of its proper divisors (110348270082720).

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

44343214341120 is a wasteful number, since it uses less digits than its factorization.

44343214341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44343214341120 its reverse (2114341234344), we get a palindrome (46457555575464).

The spelling of 44343214341120 in words is "forty-four trillion, three hundred forty-three billion, two hundred fourteen million, three hundred forty-one thousand, one hundred twenty".