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2014130040 = 233513292112
BaseRepresentation
bin111100000001101…
…0010111101111000
312012100221101222220
41320003102331320
513111104130130
6531505444040
7100624552146
oct17003227570
95170841886
102014130040
11943a1878a
12482640620
13261383a30
141516d6596
15bbc54410
hex780d2f78

2014130040 has 192 divisors, whose sum is σ = 6763629600. Its totient is φ = 476421120.

The previous prime is 2014130003. The next prime is 2014130071. The reversal of 2014130040 is 400314102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9545535 + ... + 9545745.

Almost surely, 22014130040 is an apocalyptic number.

2014130040 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 2014130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381814800).

2014130040 is an abundant number, since it is smaller than the sum of its proper divisors (4749499560).

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

2014130040 is a wasteful number, since it uses less digits than its factorization.

2014130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2014130040 is about 44879.0601505869. The cubic root of 2014130040 is about 1262.8812120715.

Adding to 2014130040 its reverse (400314102), we get a palindrome (2414444142).

The spelling of 2014130040 in words is "two billion, fourteen million, one hundred thirty thousand, forty".