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2014434140 = 225412456627
BaseRepresentation
bin111100000010001…
…1101001101011100
312012101111212010212
41320010131031130
513111143343030
6531520151552
7100630256555
oct17004351534
95171455125
102014434140
11944106204
124827685b8
1326145c284
1415177532c
15bbcb4595
hex7811d35c

2014434140 has 24 divisors (see below), whose sum is σ = 4333491792. Its totient is φ = 786120320.

The previous prime is 2014434137. The next prime is 2014434143. The reversal of 2014434140 is 414344102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2014434137) and next prime (2014434143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014434143) 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, 1227494 + ... + 1229133.

It is an arithmetic number, because the mean of its divisors is an integer number (180562158).

Almost surely, 22014434140 is an apocalyptic number.

2014434140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014434140 is an abundant number, since it is smaller than the sum of its proper divisors (2319057652).

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

2014434140 is a wasteful number, since it uses less digits than its factorization.

2014434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456677 (or 2456675 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2014434140 is about 44882.4480170144. The cubic root of 2014434140 is about 1262.9447668640.

Adding to 2014434140 its reverse (414344102), we get a palindrome (2428778242).

The spelling of 2014434140 in words is "two billion, fourteen million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2456627 4913254 9826508 12283135 24566270 49132540 100721707 201443414 402886828 503608535 1007217070 2014434140