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4102023141 = 3443261449
BaseRepresentation
bin1111010001111111…
…1110011111100101
3101120212200100220000
43310133332133211
531400104220031
61515012331513
7203436423066
oct36437763745
911525610800
104102023141
111815537777
12965913b99
13504ac3038
142acb1056d
151901c93e6
hexf47fe7e5

4102023141 has 60 divisors (see below), whose sum is σ = 6390578700. Its totient is φ = 2621445120.

The previous prime is 4102023127. The next prime is 4102023157. The reversal of 4102023141 is 1413202014.

4102023141 is a `hidden beast` number, since 410 + 20 + 231 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1082081025 + 3019942116 = 32895^2 + 54954^2 .

It is not a de Polignac number, because 4102023141 - 214 = 4102006757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102023161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9135685 + ... + 9136133.

It is an arithmetic number, because the mean of its divisors is an integer number (106509645).

Almost surely, 24102023141 is an apocalyptic number.

It is an amenable number.

4102023141 is a deficient number, since it is larger than the sum of its proper divisors (2288555559).

4102023141 is an equidigital number, since it uses as much as digits as its factorization.

4102023141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4102023141 is about 64047.0385029628. The cubic root of 4102023141 is about 1600.7838790468.

Adding to 4102023141 its reverse (1413202014), we get a palindrome (5515225155).

The spelling of 4102023141 in words is "four billion, one hundred two million, twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 43 61 81 129 183 387 449 549 1161 1347 1647 1849 2623 3483 4041 4941 5547 7869 12123 16641 19307 23607 27389 36369 49923 57921 70821 82167 112789 149769 173763 212463 246501 338367 521289 739503 830201 1015101 1177727 1563867 2218509 2490603 3045303 3533181 7471809 9135909 10599543 22415427 31798629 50642261 67246281 95395887 151926783 455780349 1367341047 4102023141