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14312401412200 = 235271562007061
BaseRepresentation
bin1101000001000101110110…
…0110100010000001101000
31212200020210212021222212121
43100101131212202001220
53333443244230142300
650235005413321024
73005015435502553
oct320213546420150
955606725258777
1014312401412200
114618945523481
121731a0a336174
137ca866131688
14376a1c63d69a
1519c4721be81a
hexd045d9a2068

14312401412200 has 24 divisors (see below), whose sum is σ = 33276333283830. Its totient is φ = 5724960564800.

The previous prime is 14312401412077. The next prime is 14312401412203. The reversal of 14312401412200 is 221410421341.

It can be written as a sum of positive squares in 3 ways, for example, as 7563743051076 + 6748658361124 = 2750226^2 + 2597818^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14312401412203) 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 5 ways as a sum of consecutive naturals, for example, 35781003331 + ... + 35781003730.

Almost surely, 214312401412200 is an apocalyptic number.

14312401412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312401412200 is an abundant number, since it is smaller than the sum of its proper divisors (18963931871630).

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

14312401412200 is a wasteful number, since it uses less digits than its factorization.

14312401412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71562007077 (or 71562007068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14312401412200 its reverse (221410421341), we get a palindrome (14533811833541).

The spelling of 14312401412200 in words is "fourteen trillion, three hundred twelve billion, four hundred one million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 71562007061 143124014122 286248028244 357810035305 572496056488 715620070610 1431240141220 1789050176525 2862480282440 3578100353050 7156200706100 14312401412200