Search a number
-
+
4014012440 = 235234792831
BaseRepresentation
bin1110111101000000…
…1111100000011000
3101100202001221220102
43233100033200120
531210041344230
61502150114532
7201320354114
oct35720174030
911322057812
104014012440
11177a894a59
1294034ba48
134bc7b96b9
142a1160744
151875e2045
hexef40f818

4014012440 has 64 divisors (see below), whose sum is σ = 9624821760. Its totient is φ = 1503103360.

The previous prime is 4014012437. The next prime is 4014012491. The reversal of 4014012440 is 442104104.

It is a happy number.

It is a super-2 number, since 2×40140124402 = 32224591736949507200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176 + ... + 89655.

It is an arithmetic number, because the mean of its divisors is an integer number (150387840).

Almost surely, 24014012440 is an apocalyptic number.

4014012440 is a gapful number since it is divisible by the number (40) 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 4014012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812410880).

4014012440 is an abundant number, since it is smaller than the sum of its proper divisors (5610809320).

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

4014012440 is a wasteful number, since it uses less digits than its factorization.

4014012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92912 (or 92908 counting only the distinct ones).

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

The square root of 4014012440 is about 63356.2344209313. The cubic root of 4014012440 is about 1589.2525051999.

Adding to 4014012440 its reverse (442104104), we get a palindrome (4456116544).

The spelling of 4014012440 in words is "four billion, fourteen million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 4324 5405 8648 10810 21620 43240 92831 185662 371324 464155 742648 928310 1856620 2135113 3713240 4270226 4363057 8540452 8726114 10675565 17080904 17452228 21351130 21815285 34904456 42702260 43630570 85404520 87261140 100350311 174522280 200700622 401401244 501751555 802802488 1003503110 2007006220 4014012440