Search a number
-
+
241325322142023 = 33731931103429529
BaseRepresentation
bin110110110111101111101110…
…000110100000000101000111
31011122110110211121222121201000
4312313233232012200011013
5223112333224432021043
62213131153354504343
7101555115310614000
oct6667575606400507
91148413747877630
10241325322142023
116a991549013709
122309656a1350b3
13a486b59b38462
1443842ca72a1a7
151cd765acd82d3
hexdb7bee1a0147

241325322142023 has 256 divisors, whose sum is σ = 457432268800000. Its totient is φ = 125200264654080.

The previous prime is 241325322142001. The next prime is 241325322142067. The reversal of 241325322142023 is 320241223523142.

241325322142023 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 2 + 5 + 3 + 221 + 420 + 2 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-241325322142023 is a prime.

It is a super-2 number, since 2×2413253221420232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241325322132023) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 561622323 + ... + 562051851.

It is an arithmetic number, because the mean of its divisors is an integer number (1786844800000).

Almost surely, 2241325322142023 is an apocalyptic number.

241325322142023 is a deficient number, since it is larger than the sum of its proper divisors (216106946657977).

241325322142023 is a wasteful number, since it uses less digits than its factorization.

241325322142023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429712 (or 429692 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 241325322142023 its reverse (320241223523142), we get a palindrome (561566545665165).

The spelling of 241325322142023 in words is "two hundred forty-one trillion, three hundred twenty-five billion, three hundred twenty-two million, one hundred forty-two thousand, twenty-three".