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2014430040 = 233357416797
BaseRepresentation
bin111100000010001…
…1100001101011000
312012101111122112000
41320010130031120
513111143230130
6531520121000
7100630241610
oct17004341530
95171448460
102014430040
11944103117
12482766160
1326145a44c
14151773a40
15bbcb3260
hex7811c358

2014430040 has 512 divisors, whose sum is σ = 8060774400. Its totient is φ = 437944320.

The previous prime is 2014430029. The next prime is 2014430051. The reversal of 2014430040 is 400344102.

It is an interprime number because it is at equal distance from previous prime (2014430029) and next prime (2014430051).

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 = 2014429995 and 2014430022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20767272 + ... + 20767368.

It is an arithmetic number, because the mean of its divisors is an integer number (15743700).

Almost surely, 22014430040 is an apocalyptic number.

2014430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030387200).

2014430040 is an abundant number, since it is smaller than the sum of its proper divisors (6046344360).

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

2014430040 is a wasteful number, since it uses less digits than its factorization.

2014430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014430040 is about 44882.4023421207. The cubic root of 2014430040 is about 1262.9439100350.

Adding to 2014430040 its reverse (400344102), we get a palindrome (2414774142).

The spelling of 2014430040 in words is "two billion, fourteen million, four hundred thirty thousand, forty".