Search a number
-
+
42004402344 = 2332882166137
BaseRepresentation
bin100111000111101010…
…000101000010101000
311000102100200201121100
4213013222011002220
51142011111333334
631144020041400
73014623346262
oct470752050250
9130370621540
1042004402344
11168a5432203
128183233260
133c6540b658
142066890b32
15115c968c99
hex9c7a850a8

42004402344 has 48 divisors (see below), whose sum is σ = 113776540020. Its totient is φ = 13999668480.

The previous prime is 42004402291. The next prime is 42004402373. The reversal of 42004402344 is 44320440024.

It is a happy number.

42004402344 is a `hidden beast` number, since 420 + 0 + 4 + 4 + 0 + 234 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39616125444 + 2388276900 = 199038^2 + 48870^2 .

It is a super-3 number, since 3×420044023443 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602044 + ... + 668180.

Almost surely, 242004402344 is an apocalyptic number.

It is an amenable number.

42004402344 is an abundant number, since it is smaller than the sum of its proper divisors (71772137676).

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

42004402344 is a wasteful number, since it uses less digits than its factorization.

42004402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74970 (or 74963 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 42004402344 its reverse (44320440024), we get a palindrome (86324842368).

The spelling of 42004402344 in words is "forty-two billion, four million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8821 17642 26463 35284 52926 66137 70568 79389 105852 132274 158778 198411 211704 264548 317556 396822 529096 595233 635112 793644 1190466 1587288 2380932 4761864 583394477 1166788954 1750183431 2333577908 3500366862 4667155816 5250550293 7000733724 10501100586 14001467448 21002201172 42004402344