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112440040400 = 24521516118541
BaseRepresentation
bin110100010110111110…
…0101101101111010000
3101202020010202212112202
41220231330231233100
53320234122243100
6123353152142332
711060240400602
oct1505574555720
9352203685482
10112440040400
114375a520626
121995bb379a8
13a7abb948ac
1456292a7172
152dd142c7d5
hex1a2df2dbd0

112440040400 has 60 divisors (see below), whose sum is σ = 270169585644. Its totient is φ = 44970624000.

The previous prime is 112440040399. The next prime is 112440040409. The reversal of 112440040400 is 4040044211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1881130384 + 110558910016 = 43372^2 + 332504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112440040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055130 + ... + 6073670.

Almost surely, 2112440040400 is an apocalyptic number.

112440040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112440040400 is an abundant number, since it is smaller than the sum of its proper divisors (157729545244).

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

112440040400 is a wasteful number, since it uses less digits than its factorization.

112440040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33720 (or 33709 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 112440040400 its reverse (4040044211), we get a palindrome (116480084611).

The spelling of 112440040400 in words is "one hundred twelve billion, four hundred forty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 15161 18541 30322 37082 60644 74164 75805 92705 121288 148328 151610 185410 242576 296656 303220 370820 379025 463525 606440 741640 758050 927050 1212880 1483280 1516100 1854100 3032200 3708200 6064400 7416400 281100101 562200202 1124400404 1405500505 2248800808 2811001010 4497601616 5622002020 7027502525 11244004040 14055005050 22488008080 28110010100 56220020200 112440040400