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4143631332 = 22323371992039
BaseRepresentation
bin1111011011111010…
…1100101111100100
3101200202222021121010
43312332230233210
531441232200312
61523100222220
7204453166551
oct36676545744
911622867533
104143631332
111836a76605
1297783a970
13510600879
142b4461a28
15193b9793c
hexf6facbe4

4143631332 has 96 divisors (see below), whose sum is σ = 10418688000. Its totient is φ = 1278364032.

The previous prime is 4143631277. The next prime is 4143631333. The reversal of 4143631332 is 2331363414.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4143631332.

It is not an unprimeable number, because it can be changed into a prime (4143631333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031169 + ... + 2033207.

It is an arithmetic number, because the mean of its divisors is an integer number (108528000).

Almost surely, 24143631332 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 4143631332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209344000).

4143631332 is an abundant number, since it is smaller than the sum of its proper divisors (6275056668).

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

4143631332 is a wasteful number, since it uses less digits than its factorization.

4143631332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2303 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 4143631332 is about 64371.0442046733. The cubic root of 4143631332 is about 1606.1781099974.

Adding to 4143631332 its reverse (2331363414), we get a palindrome (6474994746).

The spelling of 4143631332 in words is "four billion, one hundred forty-three million, six hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 199 222 276 398 444 597 796 851 1194 1702 2039 2388 2553 3404 4078 4577 5106 6117 7363 8156 9154 10212 12234 13731 14726 18308 22089 24468 27462 29452 44178 46897 54924 75443 88356 93794 140691 150886 169349 187588 226329 281382 301772 338698 405761 452658 508047 562764 677396 811522 905316 1016094 1217283 1623044 1735189 2032188 2434566 3470378 4869132 5205567 6940756 9332503 10411134 15013157 18665006 20822268 27997509 30026314 37330012 45039471 55995018 60052628 90078942 111990036 180157884 345302611 690605222 1035907833 1381210444 2071815666 4143631332