Search a number
-
+
4555342440000 = 2632541117157431
BaseRepresentation
bin100001001001001111110…
…0100010110011001000000
3121010111010122110122201200
41002102133210112121000
51044113320131040000
613404410113501200
7650053426602162
oct102223744263100
917114118418650
104555342440000
1114a6a01060390
12616a32b71800
1327074a781c11
1411a6a0614932
157d7654cd500
hex4249f916640

4555342440000 has 1680 divisors, whose sum is σ = 19010462904576. Its totient is φ = 1030348800000.

The previous prime is 4555342439933. The next prime is 4555342440001. The reversal of 4555342440000 is 442435554.

4555342440000 is a `hidden beast` number, since 45 + 553 + 4 + 24 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×45553424400002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4555342440001) 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 239 ways as a sum of consecutive naturals, for example, 10569239785 + ... + 10569240215.

Almost surely, 24555342440000 is an apocalyptic number.

4555342440000 is a gapful number since it is divisible by the number (40) 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 4555342440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505231452288).

4555342440000 is an abundant number, since it is smaller than the sum of its proper divisors (14455120464576).

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

4555342440000 is a wasteful number, since it uses less digits than its factorization.

4555342440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 4555342440000 its reverse (442435554), we get a palindrome (4555784875554).

The spelling of 4555342440000 in words is "four trillion, five hundred fifty-five billion, three hundred forty-two million, four hundred forty thousand".