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10244003544400 = 245243359145517
BaseRepresentation
bin1001010100010001111000…
…1100010011110101010000
31100021022120012221121021111
42111010132030103311100
52320314204401410100
633442010311503104
72105050646300233
oct225043614236520
940238505847244
1010244003544400
11329a503a3843a
121195434087a94
1359400babca22
14275b533b541a
1512b70b5c46ba
hex9511e313d50

10244003544400 has 60 divisors (see below), whose sum is σ = 24668057774332. Its totient is φ = 4088138065920.

The previous prime is 10244003544391. The next prime is 10244003544461. The reversal of 10244003544400 is 444530044201.

It can be written as a sum of positive squares in 6 ways, for example, as 1341872025664 + 8902131518736 = 1158392^2 + 2983644^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29399559 + ... + 29745958.

Almost surely, 210244003544400 is an apocalyptic number.

10244003544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244003544400 is an abundant number, since it is smaller than the sum of its proper divisors (14424054229932).

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

10244003544400 is a wasteful number, since it uses less digits than its factorization.

10244003544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59145968 (or 59145957 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 10244003544400 its reverse (444530044201), we get a palindrome (10688533588601).

The spelling of 10244003544400 in words is "ten trillion, two hundred forty-four billion, three million, five hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 433 866 1732 2165 3464 4330 6928 8660 10825 17320 21650 34640 43300 86600 173200 59145517 118291034 236582068 295727585 473164136 591455170 946328272 1182910340 1478637925 2365820680 2957275850 4731641360 5914551700 11829103400 23658206800 25610008861 51220017722 102440035444 128050044305 204880070888 256100088610 409760141776 512200177220 640250221525 1024400354440 1280500443050 2048800708880 2561000886100 5122001772200 10244003544400