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4414010120 = 235138488481
BaseRepresentation
bin1000001110001100…
…00111001100001000
3102101121201221120022
410013012013030020
533014441310440
62005555320012
7214245316112
oct40706071410
912347657508
104414010120
111965659153
12a322b0008
13554629c10
142dc3243b2
151ac7a4cb5
hex107187308

4414010120 has 32 divisors (see below), whose sum is σ = 10695487320. Its totient is φ = 1629788160.

The previous prime is 4414010119. The next prime is 4414010131. The reversal of 4414010120 is 210104144.

It can be written as a sum of positive squares in 4 ways, for example, as 2301504676 + 2112505444 = 47974^2 + 45962^2 .

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, 4243721 + ... + 4244760.

Almost surely, 24414010120 is an apocalyptic number.

4414010120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414010120 is an abundant number, since it is smaller than the sum of its proper divisors (6281477200).

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

4414010120 is a wasteful number, since it uses less digits than its factorization.

4414010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488505 (or 8488501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4414010120 is about 66438.0171287494. The cubic root of 4414010120 is about 1640.3799090122.

Adding to 4414010120 its reverse (210104144), we get a palindrome (4624114264).

The spelling of 4414010120 in words is "four billion, four hundred fourteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8488481 16976962 33953924 42442405 67907848 84884810 110350253 169769620 220700506 339539240 441401012 551751265 882802024 1103502530 2207005060 4414010120