Search a number
-
+
330133023350240 = 255112373111718631
BaseRepresentation
bin100101100010000010001010…
…1100101011101110111100000
31121021220102001000112200210212
41023010010111211131313200
5321232344412434201430
63130045003415313252
7126352216035040655
oct11304042545356740
91537812030480725
10330133023350240
11962106a1149470
1231039ba967b828
1311229544bb7416
145b74748a11c2c
1528277b6b03b95
hex12c411595dde0

330133023350240 has 192 divisors, whose sum is σ = 899998149399552. Its totient is φ = 113255878348800.

The previous prime is 330133023350219. The next prime is 330133023350243. The reversal of 330133023350240 is 42053320331033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 330133023350197 and 330133023350206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330133023350243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52904276 + ... + 58814355.

It is an arithmetic number, because the mean of its divisors is an integer number (4687490361456).

Almost surely, 2330133023350240 is an apocalyptic number.

It is an amenable number.

330133023350240 is an abundant number, since it is smaller than the sum of its proper divisors (569865126049312).

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

330133023350240 is a wasteful number, since it uses less digits than its factorization.

330133023350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111718753 (or 111718745 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 32.

Adding to 330133023350240 its reverse (42053320331033), we get a palindrome (372186343681273).

The spelling of 330133023350240 in words is "three hundred thirty trillion, one hundred thirty-three billion, twenty-three million, three hundred fifty thousand, two hundred forty".