Search a number
-
+
12535241234140 = 2251743983982589
BaseRepresentation
bin1011011001101001011010…
…0110011101011011011100
31122101100122111220000000001
42312122112212131123130
53120334133223443030
642354335455144044
72432432651310622
oct266322646353334
948340574800001
1012535241234140
113aa319097a099
1214a54b6b15024
136cc0b6a24b11
143149cd385512
1516b10c885cca
hexb669699d6dc

12535241234140 has 48 divisors (see below), whose sum is σ = 27935968737600. Its totient is φ = 4708399813632.

The previous prime is 12535241234119. The next prime is 12535241234149. The reversal of 12535241234140 is 4143214253521.

It is a self number, because there is not a number n which added to its sum of digits gives 12535241234140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535241234149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41842035 + ... + 42140554.

It is an arithmetic number, because the mean of its divisors is an integer number (581999348700).

Almost surely, 212535241234140 is an apocalyptic number.

12535241234140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12535241234140 is an abundant number, since it is smaller than the sum of its proper divisors (15400727503460).

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

12535241234140 is a wasteful number, since it uses less digits than its factorization.

12535241234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83983054 (or 83983052 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 12535241234140 its reverse (4143214253521), we get a palindrome (16678455487661).

The spelling of 12535241234140 in words is "twelve trillion, five hundred thirty-five billion, two hundred forty-one million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 439 878 1756 2195 4390 7463 8780 14926 29852 37315 74630 149260 83982589 167965178 335930356 419912945 839825890 1427704013 1679651780 2855408026 5710816052 7138520065 14277040130 28554080260 36868356571 73736713142 147473426284 184341782855 368683565710 626762061707 737367131420 1253524123414 2507048246828 3133810308535 6267620617070 12535241234140