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44141621427 = 32192336431723
BaseRepresentation
bin101001000111000010…
…111011000010110011
311012221022020201000200
4221013002323002303
51210400223341202
632140044050243
73121604406561
oct510702730263
9135838221020
1044141621427
11177a1881572
12867ab33983
13421612b327
1421ca668a31
1512353d3e1c
hexa470bb0b3

44141621427 has 48 divisors (see below), whose sum is σ = 67547975040. Its totient is φ = 27700009344.

The previous prime is 44141621417. The next prime is 44141621437. The reversal of 44141621427 is 72412614144.

44141621427 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 1 + 621 + 4 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (44141621417) and next prime (44141621437).

It is not a de Polignac number, because 44141621427 - 232 = 39846654131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44141621391 and 44141621400.

It is not an unprimeable number, because it can be changed into a prime (44141621417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25618188 + ... + 25619910.

It is an arithmetic number, because the mean of its divisors is an integer number (1407249480).

Almost surely, 244141621427 is an apocalyptic number.

44141621427 is a deficient number, since it is larger than the sum of its proper divisors (23406353613).

44141621427 is a wasteful number, since it uses less digits than its factorization.

44141621427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2621 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 44141621427 in words is "forty-four billion, one hundred forty-one million, six hundred twenty-one thousand, four hundred twenty-seven".

Divisors: 1 3 9 19 57 171 233 643 699 1723 1929 2097 4427 5169 5787 12217 13281 15507 32737 36651 39843 98211 109953 149819 294633 401459 449457 1107889 1204377 1348371 2846561 3323667 3613131 7627721 8539683 9971001 21049891 22883163 25619049 63149673 68649489 189449019 258138137 774414411 2323243233 4904624603 14713873809 44141621427