Search a number
-
+
2328461160480 = 2534572132312263
BaseRepresentation
bin100001111000100011000…
…110011011000000100000
322020121011110110122010000
4201320203012123000200
5301122142024113410
64541402535340000
7330140303205600
oct41704306330040
98217143418100
102328461160480
11818549693214
12317330b21600
1313b75a9b7530
14809ab906c00
154087e147dc0
hex21e2319b020

2328461160480 has 1440 divisors, whose sum is σ = 10742947294464. Its totient is φ = 469881409536.

The previous prime is 2328461160451. The next prime is 2328461160491. The reversal of 2328461160480 is 840611648232.

2328461160480 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 4 + 6 + 1 + 160 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189870829 + ... + 189883091.

Almost surely, 22328461160480 is an apocalyptic number.

2328461160480 is a gapful number since it is divisible by the number (20) 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 2328461160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371473647232).

2328461160480 is an abundant number, since it is smaller than the sum of its proper divisors (8414486133984).

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

2328461160480 is a wasteful number, since it uses less digits than its factorization.

2328461160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2328461160480 in words is "two trillion, three hundred twenty-eight billion, four hundred sixty-one million, one hundred sixty thousand, four hundred eighty".