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2014414020 = 2232511191189
BaseRepresentation
bin111100000010001…
…1000010011000100
312012101110211112200
41320010120103010
513111142222040
6531515514500
7100630144113
oct17004302304
95171424480
102014414020
119440a2083
12482758a30
13261453078
1415176bc7a
15bbcad630
hex781184c4

2014414020 has 36 divisors (see below), whose sum is σ = 6110389740. Its totient is φ = 537177024.

The previous prime is 2014414019. The next prime is 2014414057. The reversal of 2014414020 is 204144102.

2014414020 is a `hidden beast` number, since 201 + 441 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1152874116 + 861539904 = 33954^2 + 29352^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2014413984 and 2014414002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5595415 + ... + 5595774.

Almost surely, 22014414020 is an apocalyptic number.

2014414020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014414020 is an abundant number, since it is smaller than the sum of its proper divisors (4095975720).

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

2014414020 is a wasteful number, since it uses less digits than its factorization.

2014414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191204 (or 11191199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2014414020 is about 44882.2238753830. The cubic root of 2014414020 is about 1262.9405621210.

Adding to 2014414020 its reverse (204144102), we get a palindrome (2218558122).

The spelling of 2014414020 in words is "two billion, fourteen million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11191189 22382378 33573567 44764756 55955945 67147134 100720701 111911890 134294268 167867835 201441402 223823780 335735670 402882804 503603505 671471340 1007207010 2014414020