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1244424120400 = 245225712105293
BaseRepresentation
bin10010000110111101011…
…101010010100001010000
311101222002001112020202001
4102012331131102201100
5130342040033323100
62351402555403344
7155622663332026
oct22067535224120
94358061466661
101244424120400
1143a836a7928a
12181217153554
139046c0c6c96
14443324cc716
1522584cc2d6a
hex121bd752850

1244424120400 has 60 divisors (see below), whose sum is σ = 3001362383772. Its totient is φ = 495832760320.

The previous prime is 1244424120347. The next prime is 1244424120413. The reversal of 1244424120400 is 40214244421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30557836864 + 1213866283536 = 174808^2 + 1101756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5949847 + ... + 6155446.

Almost surely, 21244424120400 is an apocalyptic number.

1244424120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244424120400 is an abundant number, since it is smaller than the sum of its proper divisors (1756938263372).

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

1244424120400 is a wasteful number, since it uses less digits than its factorization.

1244424120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105568 (or 12105557 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1244424120400 its reverse (40214244421), we get a palindrome (1284638364821).

The spelling of 1244424120400 in words is "one trillion, two hundred forty-four billion, four hundred twenty-four million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1285 2056 2570 4112 5140 6425 10280 12850 20560 25700 51400 102800 12105293 24210586 48421172 60526465 96842344 121052930 193684688 242105860 302632325 484211720 605264650 968423440 1210529300 2421058600 3111060301 4842117200 6222120602 12444241204 15555301505 24888482408 31110603010 49776964816 62221206020 77776507525 124442412040 155553015050 248884824080 311106030100 622212060200 1244424120400