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1044240104200 = 2352293130113697
BaseRepresentation
bin11110011001000011000…
…11110111101100001000
310200211100212222120110211
433030201203313230020
5114102100431313300
62115414533250504
7135305146301446
oct17144143675410
93624325876424
101044240104200
11372950351a87
1214a469a93a34
1377618928ba7
1438781bc9b96
151c26a6004ba
hexf3218f7b08

1044240104200 has 96 divisors (see below), whose sum is σ = 2438194961160. Its totient is φ = 415920128000.

The previous prime is 1044240104191. The next prime is 1044240104207. The reversal of 1044240104200 is 24010424401.

1044240104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 26760379396 + 1017479724804 = 163586^2 + 1008702^2 .

It is not an unprimeable number, because it can be changed into a prime (1044240104207) 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, 76231752 + ... + 76245448.

Almost surely, 21044240104200 is an apocalyptic number.

1044240104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044240104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219097480580).

1044240104200 is an abundant number, since it is smaller than the sum of its proper divisors (1393954856960).

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

1044240104200 is a wasteful number, since it uses less digits than its factorization.

1044240104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1044240104200 its reverse (24010424401), we get a palindrome (1068250528601).

The spelling of 1044240104200 in words is "one trillion, forty-four billion, two hundred forty million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 293 586 1172 1301 1465 2344 2602 2930 5204 5860 6505 7325 10408 11720 13010 13697 14650 26020 27394 29300 32525 52040 54788 58600 65050 68485 109576 130100 136970 260200 273940 342425 381193 547880 684850 762386 1369700 1524772 1905965 2739400 3049544 3811930 4013221 7623860 8026442 9529825 15247720 16052884 17819797 19059650 20066105 32105768 35639594 38119300 40132210 71279188 76238600 80264420 89098985 100330525 142558376 160528840 178197970 200661050 356395940 401322100 445494925 712791880 802644200 890989850 1781979700 3563959400 5221200521 10442401042 20884802084 26106002605 41769604168 52212005210 104424010420 130530013025 208848020840 261060026050 522120052100 1044240104200