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2014043424 = 253101207719
BaseRepresentation
bin111100000001011…
…1101110100100000
312012100210000011220
41320002331310200
513111043342144
6531503535040
7100624041501
oct17002756440
95170700156
102014043424
119439696a8
124825ba480
13261353493
141516b2ba8
15bbc38919
hex780bdd20

2014043424 has 48 divisors (see below), whose sum is σ = 5339234880. Its totient is φ = 664697600.

The previous prime is 2014043401. The next prime is 2014043429. The reversal of 2014043424 is 4243404102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2014043394 and 2014043403.

It is not an unprimeable number, because it can be changed into a prime (2014043429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94164 + ... + 113555.

It is an arithmetic number, because the mean of its divisors is an integer number (111234060).

Almost surely, 22014043424 is an apocalyptic number.

2014043424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2014043424 is an abundant number, since it is smaller than the sum of its proper divisors (3325191456).

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

2014043424 is a wasteful number, since it uses less digits than its factorization.

2014043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207833 (or 207825 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2014043424 is about 44878.0951467417. The cubic root of 2014043424 is about 1262.8631087573.

Adding to 2014043424 its reverse (4243404102), we get a palindrome (6257447526).

The spelling of 2014043424 in words is "two billion, fourteen million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 207719 415438 623157 830876 1246314 1661752 2492628 3323504 4985256 6647008 9970512 19941024 20979619 41959238 62938857 83918476 125877714 167836952 251755428 335673904 503510856 671347808 1007021712 2014043424