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423420342444 = 2232113143802133
BaseRepresentation
bin1100010100101011101…
…00011011000010101100
31111110220220002001000100
412022111310123002230
523414131101424234
6522303331231100
742406515345531
oct6122564330254
91443826061010
10423420342444
11153631821310
126a08a748490
1330c0b812038
14166ca82cd88
15b032a89399
hex6295d1b0ac

423420342444 has 144 divisors (see below), whose sum is σ = 1233309901824. Its totient is φ = 121282358400.

The previous prime is 423420342419. The next prime is 423420342467. The reversal of 423420342444 is 444243024324.

423420342444 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 203 + 4 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423420342399 and 423420342408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126802 + ... + 928934.

It is an arithmetic number, because the mean of its divisors is an integer number (8564652096).

Almost surely, 2423420342444 is an apocalyptic number.

423420342444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423420342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616654950912).

423420342444 is an abundant number, since it is smaller than the sum of its proper divisors (809889559380).

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

423420342444 is a wasteful number, since it uses less digits than its factorization.

423420342444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802228 (or 802223 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 423420342444 its reverse (444243024324), we get a palindrome (867663366768).

The spelling of 423420342444 in words is "four hundred twenty-three billion, four hundred twenty million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 43 44 62 66 86 93 99 124 129 132 172 186 198 258 279 341 372 387 396 473 516 558 682 774 946 1023 1116 1333 1364 1419 1548 1892 2046 2666 2838 3069 3999 4092 4257 5332 5676 6138 7998 8514 11997 12276 14663 15996 17028 23994 29326 43989 47988 58652 87978 131967 175956 263934 527868 802133 1604266 2406399 3208532 4812798 7219197 8823463 9625596 14438394 17646926 24866123 26470389 28876788 34491719 35293852 49732246 52940778 68983438 74598369 79411167 99464492 103475157 105881556 137966876 149196738 158822334 206950314 223795107 273527353 298393476 310425471 317644668 379408909 413900628 447590214 547054706 620850942 758817818 820582059 895180428 1069243289 1094109412 1138226727 1241701884 1517635636 1641164118 2138486578 2276453454 2461746177 3207729867 3282328236 3414680181 4276973156 4552906908 4923492354 6415459734 6829360362 9623189601 9846984708 11761676179 12830919468 13658720724 19246379202 23523352358 35285028537 38492758404 47046704716 70570057074 105855085611 141140114148 211710171222 423420342444