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4241131312 = 241127512917
BaseRepresentation
bin1111110011001010…
…1000011100110000
3101221120102210102111
43330302220130300
532141212200222
61540502055104
7210046010215
oct37462503460
911846383374
104241131312
11188700a800
129a441a494
1352787a472
142c33a1b0c
1519c506777
hexfcca8730

4241131312 has 60 divisors (see below), whose sum is σ = 9047247328. Its totient is φ = 1924560000.

The previous prime is 4241131283. The next prime is 4241131319. The reversal of 4241131312 is 2131311424.

4241131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4241131319) 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, 1452478 + ... + 1455394.

Almost surely, 24241131312 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 4241131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523623664).

4241131312 is an abundant number, since it is smaller than the sum of its proper divisors (4806116016).

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

4241131312 is a wasteful number, since it uses less digits than its factorization.

4241131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3681 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 4241131312 is about 65123.9687979779. The cubic root of 4241131312 is about 1618.6784059569.

Adding to 4241131312 its reverse (2131311424), we get a palindrome (6372442736).

The spelling of 4241131312 in words is "four billion, two hundred forty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 751 968 1502 1936 2917 3004 5834 6008 8261 11668 12016 16522 23336 32087 33044 46672 64174 66088 90871 128348 132176 181742 256696 352957 363484 513392 705914 726968 1411828 1453936 2190667 2823656 4381334 5647312 8762668 17525336 24097337 35050672 48194674 96389348 192778696 265070707 385557392 530141414 1060282828 2120565656 4241131312