Search a number
-
+
210542025133440 = 273357112131106543
BaseRepresentation
bin101111110111110010100010…
…100111100100110110000000
31000121110121202201202222222000
4233313302202213210312000
5210044010031413232230
62023441400542144000
762230105440413430
oct5767624247446600
91017417681688860
10210542025133440
11610a340a406600
121b744556282000
139063049051920
1439dc4074a22c0
151951a342c6b60
hexbf7ca29e4d80

210542025133440 has 1536 divisors, whose sum is σ = 1008764460748800. Its totient is φ = 40383648645120.

The previous prime is 210542025133439. The next prime is 210542025133513. The reversal of 210542025133440 is 44331520245012.

It is a happy number.

210542025133440 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 4 + 202 + 5 + 1 + 3 + 3 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210542025133395 and 210542025133404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189716809 + ... + 190823351.

It is an arithmetic number, because the mean of its divisors is an integer number (656747695800).

Almost surely, 2210542025133440 is an apocalyptic number.

210542025133440 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 210542025133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504382230374400).

210542025133440 is an abundant number, since it is smaller than the sum of its proper divisors (798222435615360).

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

210542025133440 is a wasteful number, since it uses less digits than its factorization.

210542025133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106613 (or 1106584 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 210542025133440 its reverse (44331520245012), we get a palindrome (254873545378452).

The spelling of 210542025133440 in words is "two hundred ten trillion, five hundred forty-two billion, twenty-five million, one hundred thirty-three thousand, four hundred forty".