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4214145249 = 3217229120277
BaseRepresentation
bin1111101100101110…
…1100000011100001
3101212200122202111200
43323023230003201
532112310121444
61534055431413
7206300433516
oct37313540341
911780582450
104214145249
111872858776
12997385569
135220bc292
142bd97930d
15199e75969
hexfb2ec0e1

4214145249 has 24 divisors (see below), whose sum is σ = 6473361960. Its totient is φ = 2632601088.

The previous prime is 4214145227. The next prime is 4214145253. The reversal of 4214145249 is 9425414124.

It can be written as a sum of positive squares in 4 ways, for example, as 1178686224 + 3035459025 = 34332^2 + 55095^2 .

It is not a de Polignac number, because 4214145249 - 25 = 4214145217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4214145209) 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 23 ways as a sum of consecutive naturals, for example, 25102 + ... + 95175.

It is an arithmetic number, because the mean of its divisors is an integer number (269723415).

Almost surely, 24214145249 is an apocalyptic number.

It is an amenable number.

4214145249 is a deficient number, since it is larger than the sum of its proper divisors (2259216711).

4214145249 is a wasteful number, since it uses less digits than its factorization.

4214145249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120529 (or 120526 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4214145249 is about 64916.4482161493. The cubic root of 4214145249 is about 1615.2379140021.

The spelling of 4214145249 in words is "four billion, two hundred fourteen million, one hundred forty-five thousand, two hundred forty-nine".

Divisors: 1 3 9 17 51 153 229 687 2061 3893 11679 35037 120277 360831 1082493 2044709 6134127 18402381 27543433 82630299 247890897 468238361 1404715083 4214145249