Search a number
-
+
412332231012 = 2231322921795297
BaseRepresentation
bin1100000000000001110…
…10101000100101100100
31110102022010211121121120
412000000322220211210
523223424022343022
6513231154413540
741534656064202
oct6000072504544
91412263747546
10412332231012
11149961882059
1267ab52912b0
132cb62577260
1415d57d84072
15aad43e2d5c
hex6000ea8964

412332231012 has 96 divisors (see below), whose sum is σ = 1041315542400. Its totient is φ = 126235625472.

The previous prime is 412332230957. The next prime is 412332231013. The reversal of 412332231012 is 210132233214.

It is not an unprimeable number, because it can be changed into a prime (412332231013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77839948 + ... + 77845244.

It is an arithmetic number, because the mean of its divisors is an integer number (10847036900).

Almost surely, 2412332231012 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 412332231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520657771200).

412332231012 is an abundant number, since it is smaller than the sum of its proper divisors (628983311388).

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

412332231012 is a wasteful number, since it uses less digits than its factorization.

412332231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 412332231012 its reverse (210132233214), we get a palindrome (622464464226).

The spelling of 412332231012 in words is "four hundred twelve billion, three hundred thirty-two million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 916 1374 2179 2748 2977 4358 5297 5954 6537 8716 8931 10594 11908 13074 15891 17862 21188 26148 28327 31782 35724 56654 63564 68861 84981 113308 137722 169962 206583 275444 339924 413166 498991 826332 997982 1213013 1496973 1995964 2426026 2993946 3639039 4852052 5987892 6486883 7278078 11542163 12973766 14556156 15769169 19460649 23084326 25947532 31538338 34626489 38921298 46168652 47307507 63076676 69252978 77842596 94615014 138505956 150048119 189230028 300096238 450144357 600192476 900288714 1800577428 2643155327 5286310654 7929465981 10572621308 15858931962 31717863924 34361019251 68722038502 103083057753 137444077004 206166115506 412332231012