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8241735141 = 321098401361
BaseRepresentation
bin1111010110011111…
…01110010111100101
3210021101021112011200
413223033232113211
5113334341011031
63441452553113
7411144410223
oct75317562745
923241245150
108241735141
11354a276662
121720182799
13a14650973
14582831b13
1533384a8e6
hex1eb3ee5e5

8241735141 has 12 divisors (see below), whose sum is σ = 12013947660. Its totient is φ = 5444081280.

The previous prime is 8241735121. The next prime is 8241735169. The reversal of 8241735141 is 1415371428.

It can be written as a sum of positive squares in 2 ways, for example, as 3022250625 + 5219484516 = 54975^2 + 72246^2 .

It is not a de Polignac number, because 8241735141 - 25 = 8241735109 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8241735096 and 8241735105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8241735121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4199700 + ... + 4201661.

It is an arithmetic number, because the mean of its divisors is an integer number (1001162305).

Almost surely, 28241735141 is an apocalyptic number.

It is an amenable number.

8241735141 is a deficient number, since it is larger than the sum of its proper divisors (3772212519).

8241735141 is a wasteful number, since it uses less digits than its factorization.

8241735141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401476 (or 8401473 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 8241735141 is about 90784.0026711755. The cubic root of 8241735141 is about 2019.9450317526.

The spelling of 8241735141 in words is "eight billion, two hundred forty-one million, seven hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 9 109 327 981 8401361 25204083 75612249 915748349 2747245047 8241735141