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4141243404 = 22325312791697
BaseRepresentation
bin1111011011010110…
…0101110000001100
3101200121110221222100
43312311211300030
531440124242104
61522533115100
7204423662634
oct36665456014
911617427870
104141243404
111835695511
12976a88a90
1350cc759ac
142b3ddd6c4
15193875139
hexf6d65c0c

4141243404 has 72 divisors (see below), whose sum is σ = 10680284160. Its totient is φ = 1352512512.

The previous prime is 4141243399. The next prime is 4141243409. The reversal of 4141243404 is 4043421414.

4141243404 is a `hidden beast` number, since 4 + 14 + 1 + 243 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (4141243399) and next prime (4141243409).

It is not an unprimeable number, because it can be changed into a prime (4141243409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439484 + ... + 2441180.

It is an arithmetic number, because the mean of its divisors is an integer number (148337280).

Almost surely, 24141243404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141243404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340142080).

4141243404 is an abundant number, since it is smaller than the sum of its proper divisors (6539040756).

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

4141243404 is a wasteful number, since it uses less digits than its factorization.

4141243404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4141243404 is about 64352.4933782678. The cubic root of 4141243404 is about 1605.8695099328.

Adding to 4141243404 its reverse (4043421414), we get a palindrome (8184664818).

The spelling of 4141243404 in words is "four billion, one hundred forty-one million, two hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1279 1697 1908 2558 3394 3837 5091 5116 6788 7674 10182 11511 15273 15348 20364 23022 30546 46044 61092 67787 89941 135574 179882 203361 269823 271148 359764 406722 539646 610083 809469 813444 1079292 1220166 1618938 2170463 2440332 3237876 4340926 6511389 8681852 13022778 19534167 26045556 39068334 78136668 115034539 230069078 345103617 460138156 690207234 1035310851 1380414468 2070621702 4141243404