Search a number
-
+
32320440020000 = 255411434317927
BaseRepresentation
bin1110101100101001100000…
…10110001010110000100000
311020102210201000222020102002
413112110300112022300200
513214014230121120000
6152423445525543132
76544034430205646
oct726246026126040
9136383630866362
1032320440020000
11a331026887750
12375bb01b74aa8
131505a5c3c10c2
147da463885196
153b0adeb4c8d5
hex1d653058ac20

32320440020000 has 480 divisors, whose sum is σ = 88976003364864. Its totient is φ = 11451484800000.

The previous prime is 32320440019999. The next prime is 32320440020081. The reversal of 32320440020000 is 2004402323.

It is a super-2 number, since 2×323204400200002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4077256037 + ... + 4077263963.

Almost surely, 232320440020000 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 32320440020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488001682432).

32320440020000 is an abundant number, since it is smaller than the sum of its proper divisors (56655563344864).

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

32320440020000 is a wasteful number, since it uses less digits than its factorization.

32320440020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 32320440020000 its reverse (2004402323), we get a palindrome (32322444422323).

The spelling of 32320440020000 in words is "thirty-two trillion, three hundred twenty billion, four hundred forty million, twenty thousand".