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44124312132 = 22328913771633
BaseRepresentation
bin101001000110000000…
…111001001001000100
311012220002200022010200
4221012000321021010
51210331310442012
632134225050500
73121304315265
oct510600711104
9135802608120
1044124312132
111779302986a
128675186a30
13421267a844
1421c824096c
151233b153dc
hexa46039244

44124312132 has 36 divisors (see below), whose sum is σ = 112789682460. Its totient is φ = 14542843392.

The previous prime is 44124312109. The next prime is 44124312137. The reversal of 44124312132 is 23121342144.

44124312132 is a `hidden beast` number, since 4 + 4 + 12 + 431 + 213 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11369103876 + 32755208256 = 106626^2 + 180984^2 .

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

It is a super-2 number, since 2×441243121322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44124312096 and 44124312105.

It is not an unprimeable number, because it can be changed into a prime (44124312137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6882613 + ... + 6889020.

It is an arithmetic number, because the mean of its divisors is an integer number (3133046735).

Almost surely, 244124312132 is an apocalyptic number.

It is an amenable number.

44124312132 is an abundant number, since it is smaller than the sum of its proper divisors (68665370328).

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

44124312132 is a wasteful number, since it uses less digits than its factorization.

44124312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771732 (or 13771727 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 44124312132 its reverse (23121342144), we get a palindrome (67245654276).

The spelling of 44124312132 in words is "forty-four billion, one hundred twenty-four million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 13771633 27543266 41314899 55086532 82629798 123944697 165259596 247889394 495778788 1225675337 2451350674 3677026011 4902701348 7354052022 11031078033 14708104044 22062156066 44124312132