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4014014240 = 25567737057
BaseRepresentation
bin1110111101000000…
…1111111100100000
3101100202002001101002
43233100033330200
531210041423430
61502150131132
7201320362265
oct35720177440
911322061332
104014014240
11177a896345
12940350aa8
134bc7ba472
142a116126c
151875e2845
hexef40ff20

4014014240 has 48 divisors (see below), whose sum is σ = 9497372472. Its totient is φ = 1603190784.

The previous prime is 4014014239. The next prime is 4014014243. The reversal of 4014014240 is 424104104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3914254096 + 99760144 = 62564^2 + 9988^2 .

It is a super-2 number, since 2×40140142402 = 32224620637845555200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4014014243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89792 + ... + 126848.

Almost surely, 24014014240 is an apocalyptic number.

4014014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014014240 is an abundant number, since it is smaller than the sum of its proper divisors (5483358232).

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

4014014240 is a wasteful number, since it uses less digits than its factorization.

4014014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37749 (or 37741 counting only the distinct ones).

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

The square root of 4014014240 is about 63356.2486263194. The cubic root of 4014014240 is about 1589.2527427555.

Adding to 4014014240 its reverse (424104104), we get a palindrome (4438118344).

The spelling of 4014014240 in words is "four billion, fourteen million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 677 1354 2708 3385 5416 6770 10832 13540 21664 27080 37057 54160 74114 108320 148228 185285 296456 370570 592912 741140 1185824 1482280 2964560 5929120 25087589 50175178 100350356 125437945 200700712 250875890 401401424 501751780 802802848 1003503560 2007007120 4014014240