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30422122344 = 23334118118979
BaseRepresentation
bin11100010101010011…
…001011111101101000
32220112011120221101000
4130111103023331220
5444301030403334
621550431355000
72124613526145
oct342523137550
986464527330
1030422122344
11119a1549879
125a90382a60
132b3a980b33
14168852b3cc
15bd0c0c299
hex7154cbf68

30422122344 has 128 divisors (see below), whose sum is σ = 87049872000. Its totient is φ = 9838195200.

The previous prime is 30422122321. The next prime is 30422122373. The reversal of 30422122344 is 44322122403.

30422122344 is a `hidden beast` number, since 3 + 0 + 422 + 1 + 2 + 234 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593447 + ... + 1612425.

It is an arithmetic number, because the mean of its divisors is an integer number (680077125).

Almost surely, 230422122344 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 30422122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524936000).

30422122344 is an abundant number, since it is smaller than the sum of its proper divisors (56627749656).

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

30422122344 is a wasteful number, since it uses less digits than its factorization.

30422122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19206 counting only the distinct ones).

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

Adding to 30422122344 its reverse (44322122403), we get a palindrome (74744244747).

The spelling of 30422122344 in words is "thirty billion, four hundred twenty-two million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 181 216 246 328 362 369 492 543 724 738 984 1086 1107 1448 1476 1629 2172 2214 2952 3258 4344 4428 4887 6516 7421 8856 9774 13032 14842 18979 19548 22263 29684 37958 39096 44526 56937 59368 66789 75916 89052 113874 133578 151832 170811 178104 200367 227748 267156 341622 400734 455496 512433 534312 683244 778139 801468 1024866 1366488 1556278 1602936 2049732 2334417 3112556 3435199 4099464 4668834 6225112 6870398 7003251 9337668 10305597 13740796 14006502 18675336 20611194 21009753 27481592 28013004 30916791 41222388 42019506 56026008 61833582 82444776 84039012 92750373 123667164 140843159 168078024 185500746 247334328 281686318 371001492 422529477 563372636 742002984 845058954 1126745272 1267588431 1690117908 2535176862 3380235816 3802765293 5070353724 7605530586 10140707448 15211061172 30422122344