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14020220214000 = 24325371113778123
BaseRepresentation
bin1100110000000101011000…
…1111101101101011110000
31211122022122020211020211100
43030001112033231223300
53314201402333322000
645452444504244400
72644633061341560
oct314012617555360
954568566736740
1014020220214000
114515a3a893750
1216a5267470700
137a9141142810
14366821ab8da0
15194a71167a00
hexcc0563edaf0

14020220214000 has 960 divisors, whose sum is σ = 65747269905408. Its totient is φ = 2689189632000.

The previous prime is 14020220213933. The next prime is 14020220214001. The reversal of 14020220214000 is 41202202041.

14020220214000 is a `hidden beast` number, since 1 + 4 + 0 + 20 + 220 + 21 + 400 + 0 = 666.

14020220214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (14020220214001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17628939 + ... + 18407061.

Almost surely, 214020220214000 is an apocalyptic number.

14020220214000 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 14020220214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873634952704).

14020220214000 is an abundant number, since it is smaller than the sum of its proper divisors (51727049691408).

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

14020220214000 is a wasteful number, since it uses less digits than its factorization.

14020220214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778183 (or 778164 counting only the distinct ones).

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

Adding to 14020220214000 its reverse (41202202041), we get a palindrome (14061422416041).

The spelling of 14020220214000 in words is "fourteen trillion, twenty billion, two hundred twenty million, two hundred fourteen thousand".