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1415407011840 = 2113454141621
BaseRepresentation
bin10100100110001100110…
…101010000100000000000
312000022102011000002110000
4110212030311100200000
5141142223143334330
63002121244240000
7204155051043633
oct24461465204000
95008364002400
101415407011840
114a62a83a4328
121aa394b40000
13a361a87ac23
144c7128dbc1a
1526c40a70560
hex1498cd50800

1415407011840 has 480 divisors, whose sum is σ = 5197120208280. Its totient is φ = 368227123200.

The previous prime is 1415407011829. The next prime is 1415407011859. The reversal of 1415407011840 is 481107045141.

It is a happy number.

1415407011840 is a `hidden beast` number, since 1 + 4 + 1 + 540 + 70 + 1 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 703827035136 + 711579976704 = 838944^2 + 843552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1415407011795 and 1415407011804.

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 39 ways as a sum of consecutive naturals, for example, 33986230 + ... + 34027850.

Almost surely, 21415407011840 is an apocalyptic number.

1415407011840 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 1415407011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598560104140).

1415407011840 is an abundant number, since it is smaller than the sum of its proper divisors (3781713196440).

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

1415407011840 is an equidigital number, since it uses as much as digits as its factorization.

1415407011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41701 (or 41672 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 1415407011840 in words is "one trillion, four hundred fifteen billion, four hundred seven million, eleven thousand, eight hundred forty".