Search a number
-
+
2402444000000 = 28561154601
BaseRepresentation
bin100010111101011100110…
…100100011101100000000
322111200010110020021200102
4202331130310203230000
5303330201131000000
65035400104341532
7335366542030352
oct42753464435400
98450113207612
102402444000000
118469640085a0
123297397748a8
1314571b325755
14843c94870d2
154275e23e3d5
hex22f5cd23b00

2402444000000 has 252 divisors, whose sum is σ = 6539358951384. Its totient is φ = 873600000000.

The previous prime is 2402443999951. The next prime is 2402444000069. The reversal of 2402444000000 is 4442042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43972700 + ... + 44027300.

Almost surely, 22402444000000 is an apocalyptic number.

2402444000000 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 2402444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269679475692).

2402444000000 is an abundant number, since it is smaller than the sum of its proper divisors (4136914951384).

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

2402444000000 is an frugal number, since it uses more digits than its factorization.

2402444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54658 (or 54619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2402444000000 its reverse (4442042), we get a palindrome (2402448442042).

The spelling of 2402444000000 in words is "two trillion, four hundred two billion, four hundred forty-four million", and thus it is an aban number.