Search a number
-
+
2341253055456 = 2533717195322613
BaseRepresentation
bin100010000100011101100…
…011101000001111100000
322021211011221200020011000
4202010131203220033200
5301324341240233311
64551320134152000
7331102301421210
oct42043543501740
98254157606130
102341253055456
11822a1334a247
12319900ab2600
1313ca18c24a63
1481462780240
1540d7c18e056
hex2211d8e83e0

2341253055456 has 768 divisors, whose sum is σ = 8862661785600. Its totient is φ = 585165275136.

The previous prime is 2341253055451. The next prime is 2341253055517. The reversal of 2341253055456 is 6545503521432.

2341253055456 is a `hidden beast` number, since 2 + 3 + 4 + 12 + 5 + 30 + 554 + 56 = 666.

It is a super-2 number, since 2×23412530554562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341253055451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103524406 + ... + 103547018.

It is an arithmetic number, because the mean of its divisors is an integer number (11539924200).

Almost surely, 22341253055456 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 2341253055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431330892800).

2341253055456 is an abundant number, since it is smaller than the sum of its proper divisors (6521408730144).

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

2341253055456 is a wasteful number, since it uses less digits than its factorization.

2341253055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22728 (or 22714 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 2341253055456 its reverse (6545503521432), we get a palindrome (8886756576888).

The spelling of 2341253055456 in words is "two trillion, three hundred forty-one billion, two hundred fifty-three million, fifty-five thousand, four hundred fifty-six".