Search a number
-
+
214544000000 = 21056112353
BaseRepresentation
bin1100011111001111010…
…0011010010000000000
3202111202221101102210002
43013303310122100000
512003341231000000
6242320554255132
721333412624241
oct3076364322000
9674687342702
10214544000000
1182a95549710
12356b64274a8
131730154a535
14a553924cc8
1558aa2128d5
hex31f3d1a400

214544000000 has 616 divisors, whose sum is σ = 621768291264. Its totient is φ = 73216000000.

The previous prime is 214543999993. The next prime is 214544000029. The reversal of 214544000000 is 445412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4047999974 + ... + 4048000026.

Almost surely, 2214544000000 is an apocalyptic number.

214544000000 is a gapful number since it is divisible by the number (20) 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 214544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310884145632).

214544000000 is an abundant number, since it is smaller than the sum of its proper divisors (407224291264).

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

214544000000 is an frugal number, since it uses more digits than its factorization.

214544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 214544000000 its reverse (445412), we get a palindrome (214544445412).

The spelling of 214544000000 in words is "two hundred fourteen billion, five hundred forty-four million", and thus it is an aban number.