Search a number
-
+
135530024040 = 23335199836719
BaseRepresentation
bin111111000111000111…
…0000000110001101000
3110221211022122120111000
41332032032000301220
54210031141232130
6142132302435000
712535363124265
oct1761616006150
9427738576430
10135530024040
1152529190034
1222324892a60
13ca1b79b3c8
1467b9ada26c
1537d35b4260
hex1f8e380c68

135530024040 has 256 divisors, whose sum is σ = 476098560000. Its totient is φ = 34199241984.

The previous prime is 135530024039. The next prime is 135530024041. The reversal of 135530024040 is 40420035531.

135530024040 is a `hidden beast` number, since 1 + 355 + 30 + 0 + 240 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (135530024039) and next prime (135530024041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135530023995 and 135530024013.

It is not an unprimeable number, because it can be changed into a prime (135530024041) 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 63 ways as a sum of consecutive naturals, for example, 20167801 + ... + 20174519.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760000).

Almost surely, 2135530024040 is an apocalyptic number.

135530024040 is a gapful number since it is divisible by the number (10) 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 135530024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238049280000).

135530024040 is an abundant number, since it is smaller than the sum of its proper divisors (340568535960).

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

135530024040 is a wasteful number, since it uses less digits than its factorization.

135530024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 135530024040 its reverse (40420035531), we get a palindrome (175950059571).

The spelling of 135530024040 in words is "one hundred thirty-five billion, five hundred thirty million, twenty-four thousand, forty".