Search a number
-
+
1440230040 = 233257989569
BaseRepresentation
bin101010111011000…
…0010101010011000
310201101001021012100
41111312002222120
510422144330130
6354525043400
750455516254
oct12566025230
93641037170
101440230040
11679a77167
123423b6560
1319c4c5c32
14d93c5264
158668ec60
hex55d82a98

1440230040 has 192 divisors, whose sum is σ = 4801680000. Its totient is φ = 374280192.

The previous prime is 1440230009. The next prime is 1440230081. The reversal of 1440230040 is 400320441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1440229995 and 1440230022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530876 + ... + 2531444.

It is an arithmetic number, because the mean of its divisors is an integer number (25008750).

Almost surely, 21440230040 is an apocalyptic number.

1440230040 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 1440230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400840000).

1440230040 is an abundant number, since it is smaller than the sum of its proper divisors (3361449960).

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

1440230040 is a wasteful number, since it uses less digits than its factorization.

1440230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1440230040 is about 37950.3628441152. The cubic root of 1440230040 is about 1129.3033636577.

Adding to 1440230040 its reverse (400320441), we get a palindrome (1840550481).

The spelling of 1440230040 in words is "one billion, four hundred forty million, two hundred thirty thousand, forty".