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14212440000 = 263254113797
BaseRepresentation
bin11010011110010000…
…01001111111000000
31100200111012202110200
431033020021333000
5213101341040000
610310141525200
71012124514063
oct151710117700
940614182420
1014212440000
116033608590
122907873800
131456630515
1498b7b68da
15582ae8500
hex34f209fc0

14212440000 has 840 divisors, whose sum is σ = 57622092528. Its totient is φ = 3317760000.

The previous prime is 14212439939. The next prime is 14212440001. The reversal of 14212440000 is 4421241.

14212440000 is a `hidden beast` number, since 1 + 421 + 244 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146519952 + ... + 146520048.

Almost surely, 214212440000 is an apocalyptic number.

14212440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14212440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811046264).

14212440000 is an abundant number, since it is smaller than the sum of its proper divisors (43409652528).

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

14212440000 is a wasteful number, since it uses less digits than its factorization.

14212440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14212440000 its reverse (4421241), we get a palindrome (14216861241).

The spelling of 14212440000 in words is "fourteen billion, two hundred twelve million, four hundred forty thousand".