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1344450400400 = 245216720126503
BaseRepresentation
bin10011100100000111011…
…111010001000010010000
311202112021001121202101002
4103210013133101002100
5134011413300303100
62505344302001132
7166063506563432
oct23440737210220
94675231552332
101344450400400
114791a6223998
121986918761a8
1399a201a8403
1449100c30652
1524e8b49e2d5
hex139077d1090

1344450400400 has 60 divisors (see below), whose sum is σ = 3249383817792. Its totient is φ = 534559893120.

The previous prime is 1344450400367. The next prime is 1344450400417. The reversal of 1344450400400 is 40040544431.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9996452 + ... + 10130051.

Almost surely, 21344450400400 is an apocalyptic number.

1344450400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344450400400 is an abundant number, since it is smaller than the sum of its proper divisors (1904933417392).

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

1344450400400 is a wasteful number, since it uses less digits than its factorization.

1344450400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126688 (or 20126677 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1344450400400 its reverse (40040544431), we get a palindrome (1384490944831).

The spelling of 1344450400400 in words is "one trillion, three hundred forty-four billion, four hundred fifty million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1336 1670 2672 3340 4175 6680 8350 13360 16700 33400 66800 20126503 40253006 80506012 100632515 161012024 201265030 322024048 402530060 503162575 805060120 1006325150 1610120240 2012650300 3361126001 4025300600 6722252002 8050601200 13444504004 16805630005 26889008008 33611260010 53778016016 67222520020 84028150025 134445040040 168056300050 268890080080 336112600100 672225200200 1344450400400