Search a number
-
+
542316221232 = 24389263482687
BaseRepresentation
bin1111110010001001001…
…00001101001100110000
31220211210221122110221120
413321010210031030300
532341130423034412
61053045302422240
754116046551622
oct7710444151460
91824727573846
10542316221232
11199aa4406865
1289130731980
133c1a9034936
141c369282c12
15e190b42b8c
hex7e4490d330

542316221232 has 80 divisors (see below), whose sum is σ = 1422114693120. Its totient is φ = 178060934656.

The previous prime is 542316221203. The next prime is 542316221233. The reversal of 542316221232 is 232122613245.

It is a super-2 number, since 2×5423162212322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542316221193 and 542316221202.

It is not an unprimeable number, because it can be changed into a prime (542316221233) 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 15 ways as a sum of consecutive naturals, for example, 882193 + ... + 1364879.

It is an arithmetic number, because the mean of its divisors is an integer number (17776433664).

Almost surely, 2542316221232 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 542316221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711057346560).

542316221232 is an abundant number, since it is smaller than the sum of its proper divisors (879798471888).

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

542316221232 is a wasteful number, since it uses less digits than its factorization.

542316221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483050 (or 483044 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 542316221232 its reverse (232122613245), we get a palindrome (774438834477).

The spelling of 542316221232 in words is "five hundred forty-two billion, three hundred sixteen million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 263 267 356 526 534 712 789 1052 1068 1424 1578 2104 2136 3156 4208 4272 6312 12624 23407 46814 70221 93628 140442 187256 280884 374512 482687 561768 965374 1123536 1448061 1930748 2896122 3861496 5792244 7722992 11584488 23168976 42959143 85918286 126946681 128877429 171836572 253893362 257754858 343673144 380840043 507786724 515509716 687346288 761680086 1015573448 1031019432 1523360172 2031146896 2062038864 3046720344 6093440688 11298254609 22596509218 33894763827 45193018436 67789527654 90386036872 135579055308 180772073744 271158110616 542316221232