Search a number
-
+
1402441344000 = 2103353405799
BaseRepresentation
bin10100011010001000000…
…001001010010000000000
311222001221112210220212000
4110122020001022100000
5140434144441002000
62552134521104000
7203215542510024
oct24321001122000
94861845726760
101402441344000
114a0854639164
121a7976928000
13a233263a018
144bc4294c384
1526732651000
hex1468804a400

1402441344000 has 352 divisors, whose sum is σ = 5183397024000. Its totient is φ = 373983436800.

The previous prime is 1402441343987. The next prime is 1402441344113. The reversal of 1402441344000 is 4431442041.

1402441344000 is a `hidden beast` number, since 1 + 4 + 0 + 244 + 13 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3253101 + ... + 3658899.

Almost surely, 21402441344000 is an apocalyptic number.

1402441344000 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 1402441344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591698512000).

1402441344000 is an abundant number, since it is smaller than the sum of its proper divisors (3780955680000).

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

1402441344000 is an equidigital number, since it uses as much as digits as its factorization.

1402441344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405843 (or 405809 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1402441344000 its reverse (4431442041), we get a palindrome (1406872786041).

The spelling of 1402441344000 in words is "one trillion, four hundred two billion, four hundred forty-one million, three hundred forty-four thousand".