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44323413100 = 225217322311489
BaseRepresentation
bin101001010001111000…
…011001110001101100
311020101222022200022121
4221101320121301230
51211233243204400
632210100322324
73126242536501
oct512170316154
9136358280277
1044323413100
111788545831a
12870b9a33a4
1342449ab875
14220686b4a8
15124634321a
hexa51e19c6c

44323413100 has 72 divisors (see below), whose sum is σ = 97180030080. Its totient is φ = 17546311680.

The previous prime is 44323413031. The next prime is 44323413109. The reversal of 44323413100 is 131432344.

It is a super-2 number, since 2×443234131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (44323413109) 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 23 ways as a sum of consecutive naturals, for example, 3852156 + ... + 3863644.

It is an arithmetic number, because the mean of its divisors is an integer number (1349722640).

Almost surely, 244323413100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44323413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48590015040).

44323413100 is an abundant number, since it is smaller than the sum of its proper divisors (52856616980).

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

44323413100 is a wasteful number, since it uses less digits than its factorization.

44323413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11899 (or 11892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 44323413100 its reverse (131432344), we get a palindrome (44454845444).

The spelling of 44323413100 in words is "forty-four billion, three hundred twenty-three million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 223 346 446 692 865 892 1115 1730 2230 3460 4325 4460 5575 8650 11150 11489 17300 22300 22978 38579 45956 57445 77158 114890 154316 192895 229780 287225 385790 574450 771580 964475 1148900 1928950 1987597 2562047 3857900 3975194 5124094 7950388 9937985 10248188 12810235 19875970 25620470 39751940 49689925 51240940 64051175 99379850 128102350 198759700 256204700 443234131 886468262 1772936524 2216170655 4432341310 8864682620 11080853275 22161706550 44323413100