Search a number
-
+
132214121424 = 24347211189271
BaseRepresentation
bin111101100100010010…
…0110110001111010000
3110122021020012021020000
41323020210312033100
54131233303341144
6140423251250000
712360250326600
oct1731044661720
9418236167200
10132214121424
1151087474350
122175a2a9900
13c61080b958
146583580c00
15368c41e769
hex1ec89363d0

132214121424 has 300 divisors, whose sum is σ = 485612142048. Its totient is φ = 34341148800.

The previous prime is 132214121423. The next prime is 132214121443. The reversal of 132214121424 is 424121412231.

132214121424 is a `hidden beast` number, since 1 + 3 + 2 + 214 + 1 + 21 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (132214121423) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603909 + ... + 793179.

Almost surely, 2132214121424 is an apocalyptic number.

132214121424 is a gapful number since it is divisible by the number (14) 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 132214121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242806071024).

132214121424 is an abundant number, since it is smaller than the sum of its proper divisors (353398020624).

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

132214121424 is a wasteful number, since it uses less digits than its factorization.

132214121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189316 (or 189294 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 132214121424 its reverse (424121412231), we get a palindrome (556335533655).

The spelling of 132214121424 in words is "one hundred thirty-two billion, two hundred fourteen million, one hundred twenty-one thousand, four hundred twenty-four".