Search a number
-
+
212114423340144 = 243213113308986827
BaseRepresentation
bin110000001110101010111100…
…110110101101110001110000
31000211000221101212102002200200
4300032222330312231301300
5210300240314333341034
62031044004300515200
762451522101556063
oct6016527466556160
91024027355362620
10212114423340144
116164a249189176
121b95924324bb00
1391483c56c11a0
143a545700588da
15197c8b25a1a99
hexc0eabcdadc70

212114423340144 has 60 divisors (see below), whose sum is σ = 639289303683576. Its totient is φ = 65265976411776.

The previous prime is 212114423340109. The next prime is 212114423340151. The reversal of 212114423340144 is 441043324411212.

212114423340144 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 442 + 33 + 40 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212114423340099 and 212114423340108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56654491542 + ... + 56654495285.

Almost surely, 2212114423340144 is an apocalyptic number.

212114423340144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212114423340144 is an abundant number, since it is smaller than the sum of its proper divisors (427174880343432).

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

212114423340144 is a wasteful number, since it uses less digits than its factorization.

212114423340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113308986854 (or 113308986845 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 212114423340144 its reverse (441043324411212), we get a palindrome (653157747751356).

The spelling of 212114423340144 in words is "two hundred twelve trillion, one hundred fourteen billion, four hundred twenty-three million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 113308986827 226617973654 339926960481 453235947308 679853920962 906471894616 1019780881443 1359707841924 1473016828751 1812943789232 2039561762886 2719415683848 2946033657502 4079123525772 4419050486253 5438831367696 5892067315004 8158247051544 8838100972506 11784134630008 13257151458759 16316494103088 17676201945012 23568269260016 26514302917518 35352403890024 53028605835036 70704807780048 106057211670072 212114423340144