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4214127141 = 3572985429
BaseRepresentation
bin1111101100101110…
…0111101000100101
3101212200121211200000
43323023213220211
532112304032031
61534055211513
7206300326650
oct37313475045
911780554600
104214127141
111872846104
12997376b99
135220b3c73
142bd972897
15199e703e6
hexfb2e7a25

4214127141 has 48 divisors (see below), whose sum is σ = 7463164800. Its totient is φ = 2325008448.

The previous prime is 4214127119. The next prime is 4214127157. The reversal of 4214127141 is 1417214124.

It is a happy number.

It is not a de Polignac number, because 4214127141 - 26 = 4214127077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214127191) 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 47 ways as a sum of consecutive naturals, for example, 6615 + ... + 92043.

It is an arithmetic number, because the mean of its divisors is an integer number (155482600).

Almost surely, 24214127141 is an apocalyptic number.

It is an amenable number.

4214127141 is a deficient number, since it is larger than the sum of its proper divisors (3249037659).

4214127141 is an equidigital number, since it uses as much as digits as its factorization.

4214127141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85480 (or 85468 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 4214127141 is about 64916.3087444134. The cubic root of 4214127141 is about 1615.2356004630.

The spelling of 4214127141 in words is "four billion, two hundred fourteen million, one hundred twenty-seven thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 243 261 567 609 783 1701 1827 2349 5481 7047 16443 49329 85429 256287 598003 768861 1794009 2306583 2477441 5382027 6919749 7432323 16146081 17342087 20759247 22296969 48438243 52026261 66890907 145314729 156078783 200672721 468236349 602018163 1404709047 4214127141