Search a number
-
+
212144200114432 = 281977515601251
BaseRepresentation
bin110000001111000110101011…
…101100000110000100000000
31000211010210021001122221221211
4300033012223230012010000
5210301232310212130212
62031105411120255504
762453625021145105
oct6017065354060400
91024123231587854
10212144200114432
1161660939416443
121b962b73471594
13914b15c759561
143a55b96996aac
15197d5567d49a7
hexc0f1abb06100

212144200114432 has 72 divisors (see below), whose sum is σ = 426176053091712. Its totient is φ = 105393120000000.

The previous prime is 212144200114423. The next prime is 212144200114463. The reversal of 212144200114432 is 234411002441212.

It is a junction number, because it is equal to n+sod(n) for n = 212144200114394 and 212144200114403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35073807 + ... + 40675057.

It is an arithmetic number, because the mean of its divisors is an integer number (5919111848496).

Almost surely, 2212144200114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144200114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213088026545856).

212144200114432 is an abundant number, since it is smaller than the sum of its proper divisors (214031852977280).

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

212144200114432 is an equidigital number, since it uses as much as digits as its factorization.

212144200114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602215 (or 5602201 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 212144200114432 its reverse (234411002441212), we get a palindrome (446555202555644).

The spelling of 212144200114432 in words is "two hundred twelve trillion, one hundred forty-four billion, two hundred million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 751 788 1502 1576 3004 3152 6008 6304 12016 12608 24032 25216 48064 50432 96128 147947 192256 295894 591788 1183576 2367152 4734304 5601251 9468608 11202502 18937216 22405004 37874432 44810008 89620016 179240032 358480064 716960128 1103446447 1433920256 2206892894 4206539501 4413785788 8413079002 8827571576 16826158004 17655143152 33652316008 35310286304 67304632016 70620572608 134609264032 141241145216 269218528064 282482290432 538437056128 828688281697 1076874112256 1657376563394 3314753126788 6629506253576 13259012507152 26518025014304 53036050028608 106072100057216 212144200114432