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1415415440 = 24517692693
BaseRepresentation
bin101010001011101…
…1000011010010000
310122122100112222002
41110113120122100
510344321243230
6352241133132
750034555425
oct12427303220
93578315862
101415415440
11666a6862a
1233602a1a8
1319731823a
14d5da5d4c
15843dc545
hex545d8690

1415415440 has 20 divisors (see below), whose sum is σ = 3290841084. Its totient is φ = 566166144.

The previous prime is 1415415389. The next prime is 1415415451. The reversal of 1415415440 is 445145141.

It can be written as a sum of positive squares in 2 ways, for example, as 243859456 + 1171555984 = 15616^2 + 34228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 8846267 + ... + 8846426.

Almost surely, 21415415440 is an apocalyptic number.

1415415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415415440 is an abundant number, since it is smaller than the sum of its proper divisors (1875425644).

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

1415415440 is a wasteful number, since it uses less digits than its factorization.

1415415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692706 (or 17692700 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 1415415440 is about 37622.0073892928. The cubic root of 1415415440 is about 1122.7799352419.

The spelling of 1415415440 in words is "one billion, four hundred fifteen million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 17692693 35385386 70770772 88463465 141541544 176926930 283083088 353853860 707707720 1415415440