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4214140120 = 235105353503
BaseRepresentation
bin1111101100101110…
…1010110011011000
3101212200122111110201
43323023222303120
532112304440440
61534055351544
7206300412541
oct37313526330
911780574421
104214140120
111872854933
129973825b4
135220b9b48
142bd9774c8
15199e7419a
hexfb2eacd8

4214140120 has 16 divisors (see below), whose sum is σ = 9481815360. Its totient is φ = 1685656032.

The previous prime is 4214140111. The next prime is 4214140129. The reversal of 4214140120 is 210414124.

It is an interprime number because it is at equal distance from previous prime (4214140111) and next prime (4214140129).

It is a super-2 number, since 2×42141401202 = 35517953901987228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214140129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52676712 + ... + 52676791.

It is an arithmetic number, because the mean of its divisors is an integer number (592613460).

Almost surely, 24214140120 is an apocalyptic number.

4214140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214140120 is an abundant number, since it is smaller than the sum of its proper divisors (5267675240).

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

4214140120 is a wasteful number, since it uses less digits than its factorization.

4214140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105353514 (or 105353510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4214140120 is about 64916.4087115115. The cubic root of 4214140120 is about 1615.2372587045.

Adding to 4214140120 its reverse (210414124), we get a palindrome (4424554244).

The spelling of 4214140120 in words is "four billion, two hundred fourteen million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 105353503 210707006 421414012 526767515 842828024 1053535030 2107070060 4214140120