Search a number
-
+
2303241246720 = 211355925621
BaseRepresentation
bin100001100001000011111…
…000000101100000000000
322011012001211202021100000
4201201003320011200000
5300214014224343340
64522032221200000
7325255315400331
oct41410370054000
98135054667300
102303241246720
11808887702787
12312472a00000
1313926ba4393b
147d698276288
153eda4ed5d30
hex21843e05800

2303241246720 has 288 divisors, whose sum is σ = 8278281844560. Its totient is φ = 614197002240.

The previous prime is 2303241246703. The next prime is 2303241246721. The reversal of 2303241246720 is 276421423032.

2303241246720 is a `hidden beast` number, since 2 + 303 + 2 + 41 + 246 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×23032412467203 (a number of 38 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (2303241246721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025510 + ... + 2951130.

Almost surely, 22303241246720 is an apocalyptic number.

2303241246720 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 2303241246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139140922280).

2303241246720 is an abundant number, since it is smaller than the sum of its proper divisors (5975040597840).

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

2303241246720 is an frugal number, since it uses more digits than its factorization.

2303241246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925663 (or 925631 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 2303241246720 its reverse (276421423032), we get a palindrome (2579662669752).

The spelling of 2303241246720 in words is "two trillion, three hundred three billion, two hundred forty-one million, two hundred forty-six thousand, seven hundred twenty".