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2014142240 = 255111144399
BaseRepresentation
bin111100000001101…
…0101111100100000
312012100222000201202
41320003111330200
513111110022430
6531510020332
7100624632545
oct17003257440
95170860652
102014142240
11943a26970
124826476a8
13261389456
141516dabcc
15bbc57d45
hex780d5f20

2014142240 has 48 divisors (see below), whose sum is σ = 5190998400. Its totient is φ = 732414720.

The previous prime is 2014142233. The next prime is 2014142243. The reversal of 2014142240 is 422414102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2014142243) 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, 570440 + ... + 573959.

It is an arithmetic number, because the mean of its divisors is an integer number (108145800).

Almost surely, 22014142240 is an apocalyptic number.

2014142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014142240 is an abundant number, since it is smaller than the sum of its proper divisors (3176856160).

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

2014142240 is a wasteful number, since it uses less digits than its factorization.

2014142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144425 (or 1144417 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2014142240 is about 44879.1960712310. The cubic root of 2014142240 is about 1262.8837619101.

Adding to 2014142240 its reverse (422414102), we get a palindrome (2436556342).

The spelling of 2014142240 in words is "two billion, fourteen million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1144399 2288798 4577596 5721995 9155192 11443990 12588389 18310384 22887980 25176778 36620768 45775960 50353556 62941945 91551920 100707112 125883890 183103840 201414224 251767780 402828448 503535560 1007071120 2014142240