Search a number
-
+
1024125355000 = 2354111011071723
BaseRepresentation
bin11101110011100101010…
…00001100001111111000
310121220110001112102220201
432321302220030033320
5113234402042330000
62102250544331544
7133663531612666
oct16716250141770
93556401472821
101024125355000
11365369078210
12146595613bb4
1375761545327
14377d4593c36
151b98e76996a
hexee72a0c3f8

1024125355000 has 320 divisors, whose sum is σ = 2669836878720. Its totient is φ = 365064000000.

The previous prime is 1024125354937. The next prime is 1024125355021. The reversal of 1024125355000 is 5535214201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024125355000.

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, 594384139 + ... + 594385861.

It is an arithmetic number, because the mean of its divisors is an integer number (8343240246).

Almost surely, 21024125355000 is an apocalyptic number.

1024125355000 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 1024125355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334918439360).

1024125355000 is an abundant number, since it is smaller than the sum of its proper divisors (1645711523720).

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

1024125355000 is a wasteful number, since it uses less digits than its factorization.

1024125355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 1024125355000 in words is "one trillion, twenty-four billion, one hundred twenty-five million, three hundred fifty-five thousand".