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1440090672 = 243171764817
BaseRepresentation
bin101010111010110…
…0000101000110000
310201100210012000120
41111311200220300
510422130400142
6354522050240
750454366036
oct12565405060
93640705016
101440090672
11679991489
12342349980
1319c477677
14d938a556
15866637ec
hex55d60a30

1440090672 has 40 divisors (see below), whose sum is σ = 3939073776. Its totient is φ = 451792896.

The previous prime is 1440090629. The next prime is 1440090713. The reversal of 1440090672 is 2760900441.

It is a happy number.

It is a super-3 number, since 3×14400906723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 881593 + ... + 883224.

Almost surely, 21440090672 is an apocalyptic number.

1440090672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1440090672 is an abundant number, since it is smaller than the sum of its proper divisors (2498983104).

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

1440090672 is a wasteful number, since it uses less digits than its factorization.

1440090672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764845 (or 1764839 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1440090672 is about 37948.5266117145. The cubic root of 1440090672 is about 1129.2669357206.

The spelling of 1440090672 in words is "one billion, four hundred forty million, ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1764817 3529634 5294451 7059268 10588902 14118536 21177804 28237072 30001889 42355608 60003778 84711216 90005667 120007556 180011334 240015112 360022668 480030224 720045336 1440090672