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1414207008 = 25324910441
BaseRepresentation
bin101010001001011…
…0001011000100000
310122120002011022100
41110102301120200
510344014111013
6352155210400
750021363334
oct12422613040
93576064270
101414207008
11666312725
12335746a00
13196cb41a6
14d5b6d7c4
158424e473
hex544b1620

1414207008 has 36 divisors (see below), whose sum is σ = 4021651998. Its totient is φ = 471402240.

The previous prime is 1414206991. The next prime is 1414207009. The reversal of 1414207008 is 8007024141.

It can be written as a sum of positive squares in only one way, i.e., 899280144 + 514926864 = 29988^2 + 22692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14142070082 = 3999962922952624128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414207009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2454933 + ... + 2455508.

Almost surely, 21414207008 is an apocalyptic number.

1414207008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1414207008 is an abundant number, since it is smaller than the sum of its proper divisors (2607444990).

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

1414207008 is a wasteful number, since it uses less digits than its factorization.

1414207008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910457 (or 4910446 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1414207008 is about 37605.9437855241. The cubic root of 1414207008 is about 1122.4603142369.

The spelling of 1414207008 in words is "one billion, four hundred fourteen million, two hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4910441 9820882 14731323 19641764 29462646 39283528 44193969 58925292 78567056 88387938 117850584 157134112 176775876 235701168 353551752 471402336 707103504 1414207008