Search a number
-
+
132140370384 = 2433111929109463
BaseRepresentation
bin111101100010000101…
…1100000100111010000
3110122002002102022211000
41323010023200213100
54131110413323014
6140412054422000
712355363421151
oct1730413404720
9418062368730
10132140370384
1151049881080
1221739661900
13c5cb458999
146577863928
153685c02509
hex1ec42e09d0

132140370384 has 640 divisors, whose sum is σ = 455685120000. Its totient is φ = 36212520960.

The previous prime is 132140370379. The next prime is 132140370451. The reversal of 132140370384 is 483073041231.

132140370384 is a `hidden beast` number, since 132 + 140 + 3 + 7 + 0 + 384 = 666.

It is a super-2 number, since 2×1321403703842 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285400137 + ... + 285400599.

It is an arithmetic number, because the mean of its divisors is an integer number (712008000).

Almost surely, 2132140370384 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 132140370384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227842560000).

132140370384 is an abundant number, since it is smaller than the sum of its proper divisors (323544749616).

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

132140370384 is a wasteful number, since it uses less digits than its factorization.

132140370384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 132140370384 in words is "one hundred thirty-two billion, one hundred forty million, three hundred seventy thousand, three hundred eighty-four".