Search a number
-
+
41606323101 = 32719203917047
BaseRepresentation
bin100110101111111011…
…100001101110011101
310222101121122012112200
4212233323201232131
51140202204314401
631040315522113
73002020624350
oct465773415635
9128347565480
1041606323101
11167107593a2
128091a59339
133c00ac03c5
142029a6a297
151137a34686
hex9afee1b9d

41606323101 has 48 divisors (see below), whose sum is σ = 72338073600. Its totient is φ = 22511356704.

The previous prime is 41606323069. The next prime is 41606323111. The reversal of 41606323101 is 10132360614.

41606323101 is a `hidden beast` number, since 4 + 16 + 0 + 632 + 3 + 10 + 1 = 666.

It is not a de Polignac number, because 41606323101 - 25 = 41606323069 is a prime.

It is a super-2 number, since 2×416063231012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41606323111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2432160 + ... + 2449206.

It is an arithmetic number, because the mean of its divisors is an integer number (1507043200).

Almost surely, 241606323101 is an apocalyptic number.

It is an amenable number.

41606323101 is a deficient number, since it is larger than the sum of its proper divisors (30731750499).

41606323101 is a wasteful number, since it uses less digits than its factorization.

41606323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19118 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 41606323101 its reverse (10132360614), we get a palindrome (51738683715).

The spelling of 41606323101 in words is "forty-one billion, six hundred six million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 2039 6117 14273 17047 18351 38741 42819 51141 116223 119329 128457 153423 271187 323893 348669 357987 813561 971679 1073961 2267251 2440683 2915037 6801753 20405259 34758833 104276499 243311831 312829497 660417827 729935493 1981253481 2189806479 4622924789 5943760443 13868774367 41606323101