Search a number
-
+
43221244212216 = 23327593877374903
BaseRepresentation
bin10011101001111001110101…
…11010000111001111111000
312200000220120211012202210200
421310330322322013033320
521131114102004242331
6231531322051042200
712050426503060440
oct1164747272071770
9180026524182720
1043221244212216
1112854032645024
124a206972a0360
131b169907c57b5
14a95cc2ad7120
154ee43c9c15e6
hex274f3ae873f8

43221244212216 has 192 divisors, whose sum is σ = 136082953843200. Its totient is φ = 12136459509504.

The previous prime is 43221244212169. The next prime is 43221244212217. The reversal of 43221244212216 is 61221244212234.

43221244212216 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 1 + 2 + 4 + 421 + 221 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43221244212217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115099021 + ... + 115473923.

It is an arithmetic number, because the mean of its divisors is an integer number (708765384600).

Almost surely, 243221244212216 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 43221244212216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68041476921600).

43221244212216 is an abundant number, since it is smaller than the sum of its proper divisors (92861709630984).

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

43221244212216 is a wasteful number, since it uses less digits than its factorization.

43221244212216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378858 (or 378851 counting only the distinct ones).

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

The spelling of 43221244212216 in words is "forty-three trillion, two hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, two hundred sixteen".