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40042444020400 = 2452100106110051
BaseRepresentation
bin10010001101011000110111…
…01001101101101010110000
312020210000112202211122112001
421012230123221231222300
520222023411132123100
6221055124514543344
711301654043212313
oct1106543351555260
9166700482748461
1040042444020400
11118389a5821888
1245a85b1597b54
131945ca8aa9433
149c60c94c497a
154968e1072d6a
hex246b1ba6dab0

40042444020400 has 30 divisors (see below), whose sum is σ = 96201971759972. Its totient is φ = 16016977608000.

The previous prime is 40042444020361. The next prime is 40042444020427. The reversal of 40042444020400 is 402044424004.

Adding to 40042444020400 its reverse (402044424004), we get a palindrome (40444488444404).

40042444020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50053054626 + ... + 50053055425.

Almost surely, 240042444020400 is an apocalyptic number.

40042444020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042444020400 is an abundant number, since it is smaller than the sum of its proper divisors (56159527739572).

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

40042444020400 is a wasteful number, since it uses less digits than its factorization.

40042444020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100106110069 (or 100106110058 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The spelling of 40042444020400 in words is "forty trillion, forty-two billion, four hundred forty-four million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100106110051 200212220102 400424440204 500530550255 800848880408 1001061100510 1601697760816 2002122201020 2502652751275 4004244402040 5005305502550 8008488804080 10010611005100 20021222010200 40042444020400