Search a number
-
+
44311666611344 = 2411251770833019
BaseRepresentation
bin10100001001101000111010…
…01001011101010010010000
312210220011011020100000002012
422010310131021131102100
521302000243123030334
6234124255411242052
712222261256405406
oct1204643511352220
9183804136300065
1044311666611344
11131345216657a0
124b77a935a9328
131b95759268302
14ad29a6193476
1551c9ac6ee9ce
hex284d1d25d490

44311666611344 has 20 divisors (see below), whose sum is σ = 93658749883440. Its totient is φ = 20141666641440.

The previous prime is 44311666611307. The next prime is 44311666611371.

It is a happy number.

44311666611344 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44311666611292 and 44311666611301.

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 3 ways as a sum of consecutive naturals, for example, 125885416334 + ... + 125885416685.

It is an arithmetic number, because the mean of its divisors is an integer number (4682937494172).

Almost surely, 244311666611344 is an apocalyptic number.

44311666611344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44311666611344 is an abundant number, since it is smaller than the sum of its proper divisors (49347083272096).

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

44311666611344 is a wasteful number, since it uses less digits than its factorization.

44311666611344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251770833038 (or 251770833032 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 44311666611344 in words is "forty-four trillion, three hundred eleven billion, six hundred sixty-six million, six hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 251770833019 503541666038 1007083332076 2014166664152 2769479163209 4028333328304 5538958326418 11077916652836 22155833305672 44311666611344