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14420404400 = 245258616151
BaseRepresentation
bin11010110111000010…
…11110100010110000
31101012222112102222212
431123201132202300
5214013110420100
610342531151252
71020231262223
oct153341364260
941188472885
1014420404400
11612aa40296
122965445528
13148a74598c
149ab26d5ba
15595ec7635
hex35b85e8b0

14420404400 has 60 divisors (see below), whose sum is σ = 34656566064. Its totient is φ = 5766240000.

The previous prime is 14420404399. The next prime is 14420404403. The reversal of 14420404400 is 440402441.

14420404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14420404403) by changing a digit.

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, 2341325 + ... + 2347475.

Almost surely, 214420404400 is an apocalyptic number.

14420404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420404400 is an abundant number, since it is smaller than the sum of its proper divisors (20236161664).

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

14420404400 is a wasteful number, since it uses less digits than its factorization.

14420404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030 (or 12019 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14420404400 its reverse (440402441), we get a palindrome (14860806841).

The spelling of 14420404400 in words is "fourteen billion, four hundred twenty million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5861 6151 11722 12302 23444 24604 29305 30755 46888 49208 58610 61510 93776 98416 117220 123020 146525 153775 234440 246040 293050 307550 468880 492080 586100 615100 1172200 1230200 2344400 2460400 36051011 72102022 144204044 180255055 288408088 360510110 576816176 721020220 901275275 1442040440 1802550550 2884080880 3605101100 7210202200 14420404400