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2014015040 = 26561103177
BaseRepresentation
bin111100000001011…
…0110111001000000
312012100201120020122
41320002312321000
513111041440130
6531503155412
7100623562652
oct17002667100
95170646218
102014015040
1194394a344
124825a5b68
1326134359b
141516a66d2
15bbc302e5
hex780b6e40

2014015040 has 56 divisors (see below), whose sum is σ = 4874541432. Its totient is φ = 792391680.

The previous prime is 2014015027. The next prime is 2014015057. The reversal of 2014015040 is 405104102.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 2012778496 = 1112^2 + 44864^2 .

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 7 ways as a sum of consecutive naturals, for example, 32069 + ... + 71108.

Almost surely, 22014015040 is an apocalyptic number.

2014015040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014015040 is an abundant number, since it is smaller than the sum of its proper divisors (2860526392).

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

2014015040 is a wasteful number, since it uses less digits than its factorization.

2014015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103255 (or 103245 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2014015040 is about 44877.7789111716. The cubic root of 2014015040 is about 1262.8571762015.

Adding to 2014015040 its reverse (405104102), we get a palindrome (2419119142).

The spelling of 2014015040 in words is "two billion, fourteen million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 103177 206354 412708 515885 825416 1031770 1650832 2063540 3301664 4127080 6293797 6603328 8254160 12587594 16508320 25175188 31468985 33016640 50350376 62937970 100700752 125875940 201401504 251751880 402803008 503503760 1007007520 2014015040