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4148805141 = 3213139255107
BaseRepresentation
bin1111011101001001…
…1011111000010101
3101201010201010201200
43313102123320111
531444043231031
61523403143113
7204545155545
oct36722337025
911633633650
104148805141
11183998a788
12979514a99
135116c27b0
142b500b325
1519436a8e6
hexf749be15

4148805141 has 24 divisors (see below), whose sum is σ = 6500151840. Its totient is φ = 2534733216.

The previous prime is 4148805071. The next prime is 4148805149. The reversal of 4148805141 is 1415088414.

It is not a de Polignac number, because 4148805141 - 217 = 4148674069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4148805096 and 4148805105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148805149) 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 23 ways as a sum of consecutive naturals, for example, 111291 + ... + 143816.

It is an arithmetic number, because the mean of its divisors is an integer number (270839660).

Almost surely, 24148805141 is an apocalyptic number.

It is an amenable number.

4148805141 is a deficient number, since it is larger than the sum of its proper divisors (2351346699).

4148805141 is a wasteful number, since it uses less digits than its factorization.

4148805141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255265 (or 255262 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4148805141 is about 64411.2190615890. The cubic root of 4148805141 is about 1606.8463324493.

The spelling of 4148805141 in words is "four billion, one hundred forty-eight million, eight hundred five thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 5421 16263 255107 765321 2295963 3316391 9949173 29847519 35459873 106379619 319138857 460978349 1382935047 4148805141