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44211214242 = 23213228151721
BaseRepresentation
bin101001001011001100…
…011001011110100010
311020010011012101102100
4221023030121132202
51211021032323432
632151011431230
73123411056226
oct511314313642
9136104171370
1044211214242
1117828094698
12869a2b5516
134227686700
1421d59c2786
15123b57e07c
hexa4b3197a2

44211214242 has 72 divisors (see below), whose sum is σ = 104097455748. Its totient is φ = 13554777600.

The previous prime is 44211214193. The next prime is 44211214279. The reversal of 44211214242 is 24241211244.

44211214242 is a `hidden beast` number, since 4 + 4 + 211 + 21 + 424 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2100480561 + 42110733681 = 45831^2 + 205209^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 828942 + ... + 880662.

Almost surely, 244211214242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44211214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52048727874).

44211214242 is an abundant number, since it is smaller than the sum of its proper divisors (59886241506).

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

44211214242 is a wasteful number, since it uses less digits than its factorization.

44211214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52036 (or 52020 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 44211214242 its reverse (24241211244), we get a palindrome (68452425486).

The spelling of 44211214242 in words is "forty-four billion, two hundred eleven million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 281 338 507 562 843 1014 1521 1686 2529 3042 3653 5058 7306 10959 21918 32877 47489 51721 65754 94978 103442 142467 155163 284934 310326 427401 465489 672373 854802 930978 1344746 2017119 4034238 6051357 8740849 12102714 14533601 17481698 26222547 29067202 43600803 52445094 78667641 87201606 130802409 157335282 188936813 261604818 377873626 566810439 1133620878 1700431317 2456178569 3400862634 4912357138 7368535707 14737071414 22105607121 44211214242