Search a number
-
+
44321972955 = 35132294671291
BaseRepresentation
bin101001010001110010…
…111010001011011011
311020101212121111210220
4221101302322023123
51211232411113310
632210005411123
73126224361021
oct512162721333
9136355544726
1044321972955
1117884664317
12870b409aa3
1342445c6200
1422065b4711
15124615b670
hexa51cba2db

44321972955 has 96 divisors (see below), whose sum is σ = 79669474560. Its totient is φ = 21006236160.

The previous prime is 44321972939. The next prime is 44321972993. The reversal of 44321972955 is 55927912344.

It is not a de Polignac number, because 44321972955 - 24 = 44321972939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44321972898 and 44321972907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34330860 + ... + 34332150.

It is an arithmetic number, because the mean of its divisors is an integer number (829890360).

Almost surely, 244321972955 is an apocalyptic number.

44321972955 is a deficient number, since it is larger than the sum of its proper divisors (35347501605).

44321972955 is a wasteful number, since it uses less digits than its factorization.

44321972955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 44321972955 in words is "forty-four billion, three hundred twenty-one million, nine hundred seventy-two thousand, nine hundred fifty-five".

Divisors: 1 3 5 13 15 29 39 65 87 145 169 195 377 435 467 507 845 1131 1291 1401 1885 2335 2535 3873 4901 5655 6071 6455 7005 13543 14703 16783 18213 19365 24505 30355 37439 40629 50349 67715 73515 78923 83915 91065 112317 176059 187195 203145 218179 236769 251745 394615 486707 528177 561585 602897 654537 880295 1090895 1183845 1460121 1808691 2288767 2433535 2640885 3014485 3272685 6327191 6866301 7300605 7837661 9043455 11443835 17484013 18981573 23512983 31635955 34331505 39188305 52452039 87420065 94907865 101889593 117564915 227292169 262260195 305668779 509447965 681876507 1136460845 1528343895 2954798197 3409382535 8864394591 14773990985 44321972955