Search a number
-
+
212140202223040 = 2657138387771499
BaseRepresentation
bin110000001111000010111101…
…011001010110010111000000
31000211010101221102221000222021
4300033002331121112113000
5210301201113232114130
62031103510303451224
762453423654503060
oct6017027531262700
91024111842830867
10212140202223040
116165a177742473
121b9622385b6b14
13914a9733c5850
143a558d7a313a0
15197d3c082937a
hexc0f0bd6565c0

212140202223040 has 224 divisors, whose sum is σ = 629224755264000. Its totient is φ = 66329974296576.

The previous prime is 212140202222959. The next prime is 212140202223041. The reversal of 212140202223040 is 40322202041212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 212140202222996 and 212140202223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212140202223041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41468790 + ... + 46302709.

It is an arithmetic number, because the mean of its divisors is an integer number (2809039086000).

Almost surely, 2212140202223040 is an apocalyptic number.

212140202223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212140202223040 is an abundant number, since it is smaller than the sum of its proper divisors (417084553040960).

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

212140202223040 is a wasteful number, since it uses less digits than its factorization.

212140202223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87771619 (or 87771609 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 212140202223040 its reverse (40322202041212), we get a palindrome (252462404264252).

The spelling of 212140202223040 in words is "two hundred twelve trillion, one hundred forty billion, two hundred two million, two hundred twenty-three thousand, forty".