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1440904140 = 2234513219277
BaseRepresentation
bin101010111100010…
…0111001111001100
310201102022111220000
41111320213033030
510422332413030
6354551324300
750464324464
oct12570471714
93642274800
101440904140
1167a397675
12342680690
1319c6a0a00
14d951cba4
1586774860
hex55e273cc

1440904140 has 360 divisors, whose sum is σ = 5170833360. Its totient is φ = 334803456.

The previous prime is 1440904117. The next prime is 1440904151. The reversal of 1440904140 is 414090441.

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

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 119 ways as a sum of consecutive naturals, for example, 5201682 + ... + 5201958.

It is an arithmetic number, because the mean of its divisors is an integer number (14363426).

Almost surely, 21440904140 is an apocalyptic number.

1440904140 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 1440904140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585416680).

1440904140 is an abundant number, since it is smaller than the sum of its proper divisors (3729929220).

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

1440904140 is a wasteful number, since it uses less digits than its factorization.

1440904140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1440904140 is about 37959.2431431397. The cubic root of 1440904140 is about 1129.4795264089.

Adding to 1440904140 its reverse (414090441), we get a palindrome (1854994581).

The spelling of 1440904140 in words is "one billion, four hundred forty million, nine hundred four thousand, one hundred forty".