Search a number
-
+
40243712616114 = 23743107208255517
BaseRepresentation
bin10010010011001111110000…
…01100011110011010110010
312021111021001112012200011220
421021213320030132122302
520233323110412203424
6221331412323245510
711322340500102150
oct1111477014363262
9167437045180156
1040243712616114
1111906298690797
12461b601b19896
13195bc72b89357
149d1b3dc703d0
1549bc70a82579
hex2499f831e6b2

40243712616114 has 64 divisors (see below), whose sum is σ = 95004501267456. Its totient is φ = 11125842686784.

The previous prime is 40243712616061. The next prime is 40243712616119. The reversal of 40243712616114 is 41161621734204.

It is a happy number.

40243712616114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40243712616119) 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 31 ways as a sum of consecutive naturals, for example, 103934517 + ... + 104321000.

It is an arithmetic number, because the mean of its divisors is an integer number (1484445332304).

Almost surely, 240243712616114 is an apocalyptic number.

40243712616114 is an abundant number, since it is smaller than the sum of its proper divisors (54760788651342).

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

40243712616114 is a wasteful number, since it uses less digits than its factorization.

40243712616114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208255679.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 40243712616114 in words is "forty trillion, two hundred forty-three billion, seven hundred twelve million, six hundred sixteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 107 129 214 258 301 321 602 642 749 903 1498 1806 2247 4494 4601 9202 13803 27606 32207 64414 96621 193242 208255517 416511034 624766551 1249533102 1457788619 2915577238 4373365857 8746731714 8954987231 17909974462 22283340319 26864961693 44566680638 53729923386 62684910617 66850020957 125369821234 133700041914 155983382233 188054731851 311966764466 376109463702 467950146699 935900293398 958183633717 1916367267434 2874550901151 5749101802302 6707285436019 13414570872038 20121856308057 40243712616114