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44443141002144 = 2532154316461813
BaseRepresentation
bin10100001101011101110011…
…01000011101001110100000
312211100201111220121001122200
422012232321220131032200
521311124023044032034
6234304521435533200
712234624315320253
oct1206567150351640
9184321456531580
1044443141002144
1113185259513515
124b99465bba200
131ba4c7c736821
14ad90b93b709a
15521104beea99
hex286bb9a1d3a0

44443141002144 has 36 divisors (see below), whose sum is σ = 126385182225666. Its totient is φ = 14814380333952.

The previous prime is 44443141002133. The next prime is 44443141002193. The reversal of 44443141002144 is 44120014134444.

44443141002144 is a `hidden beast` number, since 4 + 4 + 4 + 431 + 4 + 1 + 0 + 0 + 214 + 4 = 666.

44443141002144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31826522250000 + 12616618752144 = 5641500^2 + 3551988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×444431410021442 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44443141002099 and 44443141002108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77158230619 + ... + 77158231194.

Almost surely, 244443141002144 is an apocalyptic number.

It is an amenable number.

44443141002144 is an abundant number, since it is smaller than the sum of its proper divisors (81942041223522).

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

44443141002144 is a wasteful number, since it uses less digits than its factorization.

44443141002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154316461829 (or 154316461818 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44443141002144 its reverse (44120014134444), we get a palindrome (88563155136588).

The spelling of 44443141002144 in words is "forty-four trillion, four hundred forty-three billion, one hundred forty-one million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 154316461813 308632923626 462949385439 617265847252 925898770878 1234531694504 1388848156317 1851797541756 2469063389008 2777696312634 3703595083512 4938126778016 5555392625268 7407190167024 11110785250536 14814380334048 22221570501072 44443141002144