Search a number
-
+
1441298040 = 2335713891483
BaseRepresentation
bin101010111101000…
…0111011001111000
310201110001112012220
41111322013121320
510422433014130
6355004004040
750500555050
oct12572073170
93643045186
101441298040
1167a636606
12342830620
1319c7ab0a0
14d95c2560
1586801410
hex55e87678

1441298040 has 256 divisors, whose sum is σ = 5385139200. Its totient is φ = 300478464.

The previous prime is 1441298017. The next prime is 1441298069. The reversal of 1441298040 is 408921441.

It is a junction number, because it is equal to n+sod(n) for n = 1441297992 and 1441298010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971139 + ... + 972621.

It is an arithmetic number, because the mean of its divisors is an integer number (21035700).

Almost surely, 21441298040 is an apocalyptic number.

1441298040 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 1441298040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692569600).

1441298040 is an abundant number, since it is smaller than the sum of its proper divisors (3943841160).

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

1441298040 is a wasteful number, since it uses less digits than its factorization.

1441298040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1441298040 is about 37964.4312482092. The cubic root of 1441298040 is about 1129.5824389803.

The spelling of 1441298040 in words is "one billion, four hundred forty-one million, two hundred ninety-eight thousand, forty".