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44105141601 = 344113280681
BaseRepresentation
bin101001000100110111…
…110000110101100001
311012211202121100010000
4221010313300311201
51210311404012401
632132302130213
73120652342443
oct510467606541
9135752540100
1044105141601
1117783225754
12866a880969
13420b6c7b31
1421c5890493
1512320ca186
hexa44df0d61

44105141601 has 20 divisors (see below), whose sum is σ = 67492425924. Its totient is φ = 28686268800.

The previous prime is 44105141569. The next prime is 44105141629. The reversal of 44105141601 is 10614150144.

44105141601 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 51 + 4 + 1 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 901440576 + 43203701025 = 30024^2 + 207855^2 .

It is not a de Polignac number, because 44105141601 - 25 = 44105141569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44105141401) 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 19 ways as a sum of consecutive naturals, for example, 6637020 + ... + 6643661.

Almost surely, 244105141601 is an apocalyptic number.

44105141601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44105141601 is a deficient number, since it is larger than the sum of its proper divisors (23387284323).

44105141601 is a wasteful number, since it uses less digits than its factorization.

44105141601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280734 (or 13280725 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 44105141601 its reverse (10614150144), we get a palindrome (54719291745).

The spelling of 44105141601 in words is "forty-four billion, one hundred five million, one hundred forty-one thousand, six hundred one".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 13280681 39842043 119526129 358578387 544507921 1075735161 1633523763 4900571289 14701713867 44105141601