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105458031444 = 223163157134319
BaseRepresentation
bin110001000110111001…
…0011101101101010100
3101002012112220001211110
41202031302131231110
53211434224001234
6120240255335020
710422230322423
oct1421562355524
9332175801743
10105458031444
11407a7344997
1218531821470
139c3851a84c
145165cb12ba
152b234b91e9
hex188dc9db54

105458031444 has 48 divisors (see below), whose sum is σ = 247743175680. Its totient is φ = 34913760480.

The previous prime is 105458031443. The next prime is 105458031451. The reversal of 105458031444 is 444130854501.

It is a super-2 number, since 2×1054580314442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105458031443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3055717 + ... + 3090035.

It is an arithmetic number, because the mean of its divisors is an integer number (5161316160).

Almost surely, 2105458031444 is an apocalyptic number.

It is an amenable number.

105458031444 is an abundant number, since it is smaller than the sum of its proper divisors (142285144236).

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

105458031444 is a wasteful number, since it uses less digits than its factorization.

105458031444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36060 (or 36058 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 105458031444 its reverse (444130854501), we get a palindrome (549588885945).

The spelling of 105458031444 in words is "one hundred five billion, four hundred fifty-eight million, thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1571 1956 3142 4713 6284 9426 18852 34319 68638 102957 137276 205914 256073 411828 512146 768219 1024292 1536438 3072876 5593997 11187994 16781991 22375988 33563982 53915149 67127964 107830298 161745447 215660596 323490894 646981788 8788169287 17576338574 26364507861 35152677148 52729015722 105458031444