Search a number
-
+
14022404400000 = 2735511685337
BaseRepresentation
bin1100110000001101100001…
…1011101110001110000000
31211122112021110202101202010
43030003120123232032000
53314220341011300000
645453445331052520
72645041152535023
oct314033033561600
954575243671663
1014022404400000
1145169607a1a47
1216a5776a41140
137a93cb7c8179
1436698bbdb1ba
15194b4ccadd50
hexcc0d86ee380

14022404400000 has 192 divisors, whose sum is σ = 46555788832560. Its totient is φ = 3739307520000.

The previous prime is 14022404399879. The next prime is 14022404400007. The reversal of 14022404400000 is 440422041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 14022404400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022404400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4642669 + ... + 7042668.

Almost surely, 214022404400000 is an apocalyptic number.

14022404400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022404400000 is an abundant number, since it is smaller than the sum of its proper divisors (32533384432560).

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

14022404400000 is an frugal number, since it uses more digits than its factorization.

14022404400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685379 (or 11685347 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14022404400000 its reverse (440422041), we get a palindrome (14022844822041).

The spelling of 14022404400000 in words is "fourteen trillion, twenty-two billion, four hundred four million, four hundred thousand".