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401442220023400 = 23522007211100117
BaseRepresentation
bin101101101000111000000110…
…0111011000001111001101000
31221122101111112112200022201001
41123101300030323001321220
5410104212131311222100
63541444002051204344
7150362146305566533
oct13321601473017150
91848344475608631
10401442220023400
11106a03764698406
12390362372a66b4
13142ccaba12979a
14711bc9b1d1a1a
153162677ae9d6a
hex16d1c0cec1e68

401442220023400 has 24 divisors (see below), whose sum is σ = 933353161554870. Its totient is φ = 160576888009280.

The previous prime is 401442220023371. The next prime is 401442220023433. The reversal of 401442220023400 is 4320022244104.

It can be written as a sum of positive squares in 3 ways, for example, as 210022875371556 + 191419344651844 = 14492166^2 + 13835438^2 .

It is a super-2 number, since 2×4014422200234002 (a number of 30 digits) contains 22 as substring.

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, 1003605549859 + ... + 1003605550258.

Almost surely, 2401442220023400 is an apocalyptic number.

401442220023400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401442220023400 is an abundant number, since it is smaller than the sum of its proper divisors (531910941531470).

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

401442220023400 is a wasteful number, since it uses less digits than its factorization.

401442220023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007211100133 (or 2007211100124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 401442220023400 its reverse (4320022244104), we get a palindrome (405762242267504).

The spelling of 401442220023400 in words is "four hundred one trillion, four hundred forty-two billion, two hundred twenty million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2007211100117 4014422200234 8028844400468 10036055500585 16057688800936 20072111001170 40144222002340 50180277502925 80288444004680 100360555005850 200721110011700 401442220023400