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3481282244232 = 23331310112274979
BaseRepresentation
bin110010101010001100100…
…101110110111010001000
3110022210210112201110212000
4302222030211312322020
5424014131223303412
611223140132151000
7506341263556062
oct62521445667210
913283715643760
103481282244232
111122449085231
12482842468460
131c338bb32240
14c06d0252732
1560851e904dc
hex32a8c976e88

3481282244232 has 128 divisors (see below), whose sum is σ = 10517202864000. Its totient is φ = 1060558099200.

The previous prime is 3481282244221. The next prime is 3481282244257. The reversal of 3481282244232 is 2324422821843.

3481282244232 is a `hidden beast` number, since 3 + 481 + 2 + 82 + 24 + 42 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5853882 + ... + 6421097.

It is an arithmetic number, because the mean of its divisors is an integer number (82165647375).

Almost surely, 23481282244232 is an apocalyptic number.

It is an amenable number.

3481282244232 is an abundant number, since it is smaller than the sum of its proper divisors (7035920619768).

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

3481282244232 is a wasteful number, since it uses less digits than its factorization.

3481282244232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275108 (or 12275098 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 3481282244232 in words is "three trillion, four hundred eighty-one billion, two hundred eighty-two million, two hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 101 104 108 117 156 202 216 234 303 312 351 404 468 606 702 808 909 936 1212 1313 1404 1818 2424 2626 2727 2808 3636 3939 5252 5454 7272 7878 10504 10908 11817 15756 21816 23634 31512 35451 47268 70902 94536 141804 283608 12274979 24549958 36824937 49099916 73649874 98199832 110474811 147299748 159574727 220949622 294599496 319149454 331424433 441899244 478724181 638298908 662848866 883798488 957448362 1239772879 1276597816 1325697732 1436172543 1914896724 2479545758 2651395464 2872345086 3719318637 3829793448 4308517629 4959091516 5744690172 7438637274 8617035258 9918183032 11157955911 11489380344 14877274548 16117047427 17234070516 22315911822 29754549096 32234094854 33473867733 34468141032 44631823644 48351142281 64468189708 66947735466 89263647288 96702284562 128936379416 133895470932 145053426843 193404569124 267790941864 290106853686 386809138248 435160280529 580213707372 870320561058 1160427414744 1740641122116 3481282244232