Search a number
-
+
215122423577040 = 2436572789188939
BaseRepresentation
bin110000111010011100010111…
…101000111111100111010000
31001012200111120120112112000000
4300322130113220333213100
5211144031210413431130
62041305513241130000
763212040124661040
oct6072342750774720
91035614516475000
10215122423577040
11625a99a8974281
1220164200489900
139305c5a817c75
143b19da367b720
1519d0c6433b260
hexc3a717a3f9d0

215122423577040 has 560 divisors, whose sum is σ = 857336290358400. Its totient is φ = 49152949244928.

The previous prime is 215122423576997. The next prime is 215122423577053. The reversal of 215122423577040 is 40775324221512.

215122423577040 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 224 + 2 + 357 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1138486891 + ... + 1138675829.

Almost surely, 2215122423577040 is an apocalyptic number.

215122423577040 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 215122423577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428668145179200).

215122423577040 is an abundant number, since it is smaller than the sum of its proper divisors (642213866781360).

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

215122423577040 is a wasteful number, since it uses less digits than its factorization.

215122423577040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191766 (or 191745 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

Adding to 215122423577040 its reverse (40775324221512), we get a palindrome (255897747798552).

The spelling of 215122423577040 in words is "two hundred fifteen trillion, one hundred twenty-two billion, four hundred twenty-three million, five hundred seventy-seven thousand, forty".