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4014330440 = 235373269057
BaseRepresentation
bin1110111101000101…
…1101001001001000
3101100202200010010012
43233101131021020
531210132033230
61502201011052
7201323150201
oct35721351110
911322603105
104014330440
11177aa9196a
12940483a88
134bc89b373
142a12045a8
15187656395
hexef45d248

4014330440 has 32 divisors (see below), whose sum is σ = 9056492280. Its totient is φ = 1601421312.

The previous prime is 4014330407. The next prime is 4014330497. The reversal of 4014330440 is 440334104.

4014330440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2652868036 + 1361462404 = 51506^2 + 36898^2 .

It is a super-2 number, since 2×40143304402 = 32229697763021187200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119609 + ... + 149448.

Almost surely, 24014330440 is an apocalyptic number.

4014330440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014330440 is an abundant number, since it is smaller than the sum of its proper divisors (5042161840).

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

4014330440 is a wasteful number, since it uses less digits than its factorization.

4014330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269441 (or 269437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4014330440 is about 63358.7439900761. The cubic root of 4014330440 is about 1589.2944722639.

Adding to 4014330440 its reverse (440334104), we get a palindrome (4454664544).

The spelling of 4014330440 in words is "four billion, fourteen million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 373 746 1492 1865 2984 3730 7460 14920 269057 538114 1076228 1345285 2152456 2690570 5381140 10762280 100358261 200716522 401433044 501791305 802866088 1003582610 2007165220 4014330440