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4214404240 = 24552680053
BaseRepresentation
bin1111101100110010…
…1011010010010000
3101212201010220202221
43323030223102100
532112341413430
61534105150424
7206302562554
oct37314532220
911781126687
104214404240
111872a15312
1299748b414
13522180127
142bda05864
15199ec757a
hexfb32b490

4214404240 has 20 divisors (see below), whose sum is σ = 9798490044. Its totient is φ = 1685761664.

The previous prime is 4214404237. The next prime is 4214404247. The reversal of 4214404240 is 424044124.

4214404240 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 2 ways, for example, as 2818335744 + 1396068496 = 53088^2 + 37364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×42144042402 = 35522406196259955200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4214404247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26339947 + ... + 26340106.

Almost surely, 24214404240 is an apocalyptic number.

4214404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214404240 is an abundant number, since it is smaller than the sum of its proper divisors (5584085804).

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

4214404240 is a wasteful number, since it uses less digits than its factorization.

4214404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680066 (or 52680060 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4214404240 is about 64918.4429881062. The cubic root of 4214404240 is about 1615.2710028405.

Adding to 4214404240 its reverse (424044124), we get a palindrome (4638448364).

The spelling of 4214404240 in words is "four billion, two hundred fourteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52680053 105360106 210720212 263400265 421440424 526800530 842880848 1053601060 2107202120 4214404240