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4312232712 = 23327121092
BaseRepresentation
bin1000000010000011…
…10111001100001000
3102010112020010012200
410001001313030020
532312412421322
61551522040200
7211601242014
oct40101671410
912115203180
104312232712
111913163297
12a041a9060
135395133b8
142cc9cd544
151a389d8ac
hex101077308

4312232712 has 108 divisors (see below), whose sum is σ = 11955446685. Its totient is φ = 1404164160.

The previous prime is 4312232681. The next prime is 4312232741. The reversal of 4312232712 is 2172322134.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4312232712 is a `hidden beast` number, since 431 + 223 + 2 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4137834276 + 174398436 = 64326^2 + 13206^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39561714 + ... + 39561822.

Almost surely, 24312232712 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 4312232712

4312232712 is an abundant number, since it is smaller than the sum of its proper divisors (7643213973).

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

4312232712 is a wasteful number, since it uses less digits than its factorization.

4312232712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 185 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4312232712 is about 65667.5925552323. The cubic root of 4312232712 is about 1627.6738888439.

Adding to 4312232712 its reverse (2172322134), we get a palindrome (6484554846).

The spelling of 4312232712 in words is "four billion, three hundred twelve million, two hundred thirty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 109 142 213 218 284 327 426 436 568 639 654 852 872 981 1278 1308 1704 1962 2556 2616 3924 5041 5112 7739 7848 10082 11881 15123 15478 20164 23217 23762 30246 30956 35643 40328 45369 46434 47524 60492 61912 69651 71286 90738 92868 95048 106929 120984 139302 142572 181476 185736 213858 278604 285144 362952 427716 549469 557208 843551 855432 1098938 1648407 1687102 2197876 2530653 3296814 3374204 4395752 4945221 5061306 6593628 6748408 7591959 9890442 10122612 13187256 15183918 19780884 20245224 30367836 39561768 59892121 60735672 119784242 179676363 239568484 359352726 479136968 539029089 718705452 1078058178 1437410904 2156116356 4312232712