Search a number
-
+
136114142360 = 235722232391303
BaseRepresentation
bin111111011000100001…
…0001111110010011000
3111000100000202212011212
41332301002033302120
54212230210023420
6142310250242252
712556015056200
oct1766102176230
9430300685155
10136114142360
11527a8980849
1222468426388
13cab27c6251
14683350b400
1538199e63c5
hex1fb108fc98

136114142360 has 192 divisors, whose sum is σ = 359628595200. Its totient is φ = 46228541184.

The previous prime is 136114142327. The next prime is 136114142377. The reversal of 136114142360 is 63241411631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104461469 + ... + 104462771.

It is an arithmetic number, because the mean of its divisors is an integer number (1873065600).

Almost surely, 2136114142360 is an apocalyptic number.

136114142360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136114142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179814297600).

136114142360 is an abundant number, since it is smaller than the sum of its proper divisors (223514452840).

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

136114142360 is a wasteful number, since it uses less digits than its factorization.

136114142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 136114142360 its reverse (63241411631), we get a palindrome (199355553991).

The spelling of 136114142360 in words is "one hundred thirty-six billion, one hundred fourteen million, one hundred forty-two thousand, three hundred sixty".