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11410104240400 = 245228525260601
BaseRepresentation
bin1010011000001001111100…
…1101011100100100010000
31111101210110210010122101011
42212002133031130210100
52443420343141143100
640133421324420304
72255232006542215
oct246023715344420
944353423118334
1011410104240400
1136a9aa8423708
1213434309a7694
13649c78219468
142b6375673b0c
1514bc0a1a1bba
hexa609f35c910

11410104240400 has 30 divisors (see below), whose sum is σ = 27412775438522. Its totient is φ = 4564041696000.

The previous prime is 11410104240373. The next prime is 11410104240427. The reversal of 11410104240400 is 404240101411.

It is an interprime number because it is at equal distance from previous prime (11410104240373) and next prime (11410104240427).

It can be written as a sum of positive squares in 3 ways, for example, as 1051387738384 + 10358716502016 = 1025372^2 + 3218496^2 .

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 5 ways as a sum of consecutive naturals, for example, 14262629901 + ... + 14262630700.

Almost surely, 211410104240400 is an apocalyptic number.

11410104240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11410104240400 is an abundant number, since it is smaller than the sum of its proper divisors (16002671198122).

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

11410104240400 is a wasteful number, since it uses less digits than its factorization.

11410104240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28525260619 (or 28525260608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11410104240400 its reverse (404240101411), we get a palindrome (11814344341811).

The spelling of 11410104240400 in words is "eleven trillion, four hundred ten billion, one hundred four million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28525260601 57050521202 114101042404 142626303005 228202084808 285252606010 456404169616 570505212020 713131515025 1141010424040 1426263030050 2282020848080 2852526060100 5705052120200 11410104240400