Search a number
-
+
105041443340000 = 255431728615791
BaseRepresentation
bin10111111000100011011101…
…111010101011111011100000
3111202220212022210101110110102
4113320203131322223323200
5102231444333443340000
61011223212313521532
731060664613366506
oct2770433572537340
9452825283343412
10105041443340000
113051890a382452
12b94589aa132a8
13467c49a3040ab
141bd206671a676
15c2258057e3d5
hex5f88ddeabee0

105041443340000 has 240 divisors, whose sum is σ = 259368294278016. Its totient is φ = 41862163200000.

The previous prime is 105041443339919. The next prime is 105041443340011. The reversal of 105041443340000 is 43344140501.

It is a happy number.

It is a super-2 number, since 2×1050414433400002 (a number of 29 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 39 ways as a sum of consecutive naturals, for example, 18138737105 + ... + 18138742895.

Almost surely, 2105041443340000 is an apocalyptic number.

105041443340000 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 105041443340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129684147139008).

105041443340000 is an abundant number, since it is smaller than the sum of its proper divisors (154326850938016).

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

105041443340000 is an equidigital number, since it uses as much as digits as its factorization.

105041443340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 105041443340000 its reverse (43344140501), we get a palindrome (105084787480501).

The spelling of 105041443340000 in words is "one hundred five trillion, forty-one billion, four hundred forty-three million, three hundred forty thousand".