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422340213042 = 232112819298171
BaseRepresentation
bin1100010010101010111…
…00000011100100110010
31111101010121121210000200
412021111130003210302
523404423043304132
6522004224300030
742340661402316
oct6112534034462
91441117553020
10422340213042
11153128049090
1269a28a71616
1330a98aca907
14166271c3b46
15aebcd2ad7c
hex6255703932

422340213042 has 96 divisors (see below), whose sum is σ = 1003012320960. Its totient is φ = 127373568000.

The previous prime is 422340213041. The next prime is 422340213047. The reversal of 422340213042 is 240312043224.

422340213042 is a `hidden beast` number, since 4 + 223 + 402 + 1 + 30 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422340212997 and 422340213015.

It is not an unprimeable number, because it can be changed into a prime (422340213041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51683617 + ... + 51691787.

It is an arithmetic number, because the mean of its divisors is an integer number (10448045010).

Almost surely, 2422340213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422340213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501506160480).

422340213042 is an abundant number, since it is smaller than the sum of its proper divisors (580672107918).

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

422340213042 is a wasteful number, since it uses less digits than its factorization.

422340213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422340213042 its reverse (240312043224), we get a palindrome (662652256266).

The spelling of 422340213042 in words is "four hundred twenty-two billion, three hundred forty million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 929 1686 1858 2529 2787 3091 5058 5574 6182 8171 8361 9273 10219 16342 16722 18546 20438 24513 27819 30657 49026 55638 61314 73539 89881 91971 147078 179762 183942 261049 269643 522098 539286 783147 808929 1566294 1617858 2296051 2349441 2871539 4592102 4698882 5743078 6888153 7590859 8614617 13776306 15181718 17229234 20664459 22772577 25256561 25843851 41328918 45545154 50513122 51687702 68317731 75769683 83499449 136635462 151539366 166998898 227309049 250498347 454618098 500996694 751495041 1502990082 2133031379 4266062758 6399094137 12798188274 19197282411 23463345169 38394564822 46926690338 70390035507 140780071014 211170106521 422340213042