Search a number
-
+
1244485242000 = 2433537211213223
BaseRepresentation
bin10010000111000001000…
…110011100110010010000
311101222020022112112211000
4102013001012130302100
5130342201210221000
62351413021422000
7155624335010100
oct22070106346220
94358208475730
101244485242000
1143a868525900
1218123370a900
139047b977600
144433a67d200
152258a348000
hex121c119cc90

1244485242000 has 4320 divisors, whose sum is σ = 6440730266880. Its totient is φ = 228324096000.

The previous prime is 1244485241869. The next prime is 1244485242089. The reversal of 1244485242000 is 2425844421.

1244485242000 is a `hidden beast` number, since 1 + 2 + 4 + 448 + 5 + 2 + 4 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 54108053989 + ... + 54108054011.

It is an arithmetic number, because the mean of its divisors is an integer number (1490909784).

Almost surely, 21244485242000 is an apocalyptic number.

1244485242000 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 1244485242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220365133440).

1244485242000 is an abundant number, since it is smaller than the sum of its proper divisors (5196245024880).

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

1244485242000 is a wasteful number, since it uses less digits than its factorization.

1244485242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 1244485242000 in words is "one trillion, two hundred forty-four billion, four hundred eighty-five million, two hundred forty-two thousand".