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4141000395 = 335733713003
BaseRepresentation
bin1111011011010010…
…1010011011001011
3101200121000121122000
43312310222123023
531440044003040
61522524002043
7204421631310
oct36664523313
911617017560
104141000395
111835539984
12976990323
1350cbbc1bc
142b3d78d07
15193828130
hexf6d2a6cb

4141000395 has 64 divisors (see below), whose sum is σ = 8439075840. Its totient is φ = 1887266304.

The previous prime is 4141000363. The next prime is 4141000397. The reversal of 4141000395 is 5930001414.

It is not a de Polignac number, because 4141000395 - 25 = 4141000363 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4141000397) 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 63 ways as a sum of consecutive naturals, for example, 311964 + ... + 324966.

It is an arithmetic number, because the mean of its divisors is an integer number (131860560).

Almost surely, 24141000395 is an apocalyptic number.

4141000395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4141000395 is an abundant number, since it is smaller than the sum of its proper divisors (4298075445).

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

4141000395 is a wasteful number, since it uses less digits than its factorization.

4141000395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4141000395 is about 64350.6052419090. The cubic root of 4141000395 is about 1605.8380984026.

The spelling of 4141000395 in words is "four billion, one hundred forty-one million, three hundred ninety-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 337 945 1011 1685 2359 3033 5055 7077 9099 11795 13003 15165 21231 35385 39009 45495 63693 65015 91021 106155 117027 195045 273063 318465 351081 455105 585135 819189 1365315 1755405 2457567 4095945 4382011 12287835 13146033 21910055 30674077 39438099 65730165 92022231 118314297 153370385 197190495 276066693 460111155 591571485 828200079 1380333465 4141000395