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44414021331140 = 22519791479481057
BaseRepresentation
bin10100001100100111100011…
…11101101110100011000100
312211020221100111210111122012
422012103301331232203010
521310134403430044030
6234243304132153352
712232543565231246
oct1206236175564304
9184227314714565
1044414021331140
111317397619670a
124b93899a68858
131ba22bb86b676
14ad7915c48096
1552049d519095
hex2864f1f6e8c4

44414021331140 has 48 divisors (see below), whose sum is σ = 99421127097600. Its totient is φ = 16617531220992.

The previous prime is 44414021331107. The next prime is 44414021331143. The reversal of 44414021331140 is 4113312041444.

44414021331140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444140213311403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44414021331097 and 44414021331106.

It is not an unprimeable number, because it can be changed into a prime (44414021331143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739710509 + ... + 739770548.

It is an arithmetic number, because the mean of its divisors is an integer number (2071273481200).

Almost surely, 244414021331140 is an apocalyptic number.

It is an amenable number.

44414021331140 is an abundant number, since it is smaller than the sum of its proper divisors (55007105766460).

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

44414021331140 is a wasteful number, since it uses less digits than its factorization.

44414021331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479481164 (or 1479481162 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 44414021331140 its reverse (4113312041444), we get a palindrome (48527333372584).

The spelling of 44414021331140 in words is "forty-four trillion, four hundred fourteen billion, twenty-one million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 6004 7505 15010 30020 1479481057 2958962114 5917924228 7397405285 14794810570 28110140083 29589621140 56220280166 112440560332 116879003503 140550700415 233758007006 281101400830 467516014012 562202801660 584395017515 1168790035030 2220701066557 2337580070060 4441402133114 8882804266228 11103505332785 22207010665570 44414021331140