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44341211300 = 225211310093889
BaseRepresentation
bin101001010010111100…
…010011000010100100
311020110012210220212012
4221102330103002210
51211302322230200
632211534013352
73126550035341
oct512274230244
9136405726765
1044341211300
1117894504381
128715947258
1342485a0a49
142208d817c8
151247baba35
hexa52f130a4

44341211300 has 72 divisors (see below), whose sum is σ = 97193128200. Its totient is φ = 17557585920.

The previous prime is 44341211293. The next prime is 44341211309. The reversal of 44341211300 is 311214344.

It can be written as a sum of positive squares in 12 ways, for example, as 24729449536 + 19611761764 = 157256^2 + 140042^2 .

It is a super-2 number, since 2×443412113002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44341211309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11399756 + ... + 11403644.

Almost surely, 244341211300 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 44341211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48596564100).

44341211300 is an abundant number, since it is smaller than the sum of its proper divisors (52851916900).

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

44341211300 is a wasteful number, since it uses less digits than its factorization.

44341211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 44341211300 its reverse (311214344), we get a palindrome (44652425644).

The spelling of 44341211300 in words is "forty-four billion, three hundred forty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1009 1130 2018 2260 2825 3889 4036 5045 5650 7778 10090 11300 15556 19445 20180 25225 38890 50450 77780 97225 100900 114017 194450 228034 388900 439457 456068 570085 878914 1140170 1757828 2197285 2280340 2850425 3924001 4394570 5700850 7848002 8789140 10986425 11401700 15696004 19620005 21972850 39240010 43945700 78480020 98100025 196200050 392400100 443412113 886824226 1773648452 2217060565 4434121130 8868242260 11085302825 22170605650 44341211300