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1440426240 = 2835511421
BaseRepresentation
bin101010111011011…
…0010100100000000
310201101102020100000
41111312302210000
510422222114430
6354533200000
750460264261
oct12566624400
93641366300
101440426240
1167a0a0610
12342490000
1319c564326
14d9436968
15866cce60
hex55db2900

1440426240 has 432 divisors, whose sum is σ = 5651545536. Its totient is φ = 348364800.

The previous prime is 1440426193. The next prime is 1440426257. The reversal of 1440426240 is 426240441.

It is a happy number.

1440426240 is a `hidden beast` number, since 14 + 404 + 2 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421230 + ... + 3421650.

Almost surely, 21440426240 is an apocalyptic number.

1440426240 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 1440426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825772768).

1440426240 is an abundant number, since it is smaller than the sum of its proper divisors (4211119296).

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

1440426240 is an equidigital number, since it uses as much as digits as its factorization.

1440426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

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

The square root of 1440426240 is about 37952.9477116073. The cubic root of 1440426240 is about 1129.3546423316.

Adding to 1440426240 its reverse (426240441), we get a palindrome (1866666681).

The spelling of 1440426240 in words is "one billion, four hundred forty million, four hundred twenty-six thousand, two hundred forty".