Search a number
-
+
5857141440000 = 2935437269613
BaseRepresentation
bin101010100111011100011…
…0101011011111000000000
3202201221022020221210000110
41111032320311123320000
51231430411202040000
620242422244151320
71143110265534534
oct125167065337000
922657266853013
105857141440000
111958aaa713934
127a71a0998540
133364314a91a6
141636b6a95bc4
15a2557310850
hex553b8d5be00

5857141440000 has 800 divisors, whose sum is σ = 20132717093280. Its totient is φ = 1511571456000.

The previous prime is 5857141439987. The next prime is 5857141440019. The reversal of 5857141440000 is 441417585.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×58571414400002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9554879694 + ... + 9554880306.

Almost surely, 25857141440000 is an apocalyptic number.

5857141440000 is a gapful number since it is divisible by the number (50) 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 5857141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066358546640).

5857141440000 is an abundant number, since it is smaller than the sum of its proper divisors (14275575653280).

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

5857141440000 is an equidigital number, since it uses as much as digits as its factorization.

5857141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

Adding to 5857141440000 its reverse (441417585), we get a palindrome (5857582857585).

The spelling of 5857141440000 in words is "five trillion, eight hundred fifty-seven billion, one hundred forty-one million, four hundred forty thousand".