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44073132381 = 32234343911279
BaseRepresentation
bin101001000010111101…
…101010000101011101
311012202112101002201100
4221002331222011131
51210230210214011
632125200103313
73120113305215
oct510275520535
9135675332640
1044073132381
1117767152753
128660004b39
134204b9b475
1421c151b245
15122e3a5d56
hexa42f6a15d

44073132381 has 48 divisors (see below), whose sum is σ = 68134809600. Its totient is φ = 27386051616.

The previous prime is 44073132377. The next prime is 44073132401. The reversal of 44073132381 is 18323137044.

44073132381 is a `hidden beast` number, since 4 + 407 + 3 + 13 + 238 + 1 = 666.

44073132381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44073132381 - 22 = 44073132377 is a prime.

It is a super-2 number, since 2×440731323812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44073132361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3901900 + ... + 3913178.

It is an arithmetic number, because the mean of its divisors is an integer number (1419475200).

Almost surely, 244073132381 is an apocalyptic number.

It is an amenable number.

44073132381 is a deficient number, since it is larger than the sum of its proper divisors (24061677219).

44073132381 is a wasteful number, since it uses less digits than its factorization.

44073132381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 44073132381 in words is "forty-four billion, seventy-three million, one hundred thirty-two thousand, three hundred eighty-one".

Divisors: 1 3 9 23 43 69 129 207 387 439 989 1317 2967 3951 8901 10097 11279 18877 30291 33837 56631 90873 101511 169893 259417 434171 484997 778251 1302513 1454991 2334753 3907539 4364973 4951481 11154931 14854443 33464793 44563329 100394379 113884063 212913683 341652189 638741049 1024956567 1916223147 4897014709 14691044127 44073132381