Search a number
-
+
114642606036 = 223717234917109
BaseRepresentation
bin110101011000100111…
…0110101011111010100
3101221220122021210120210
41222301032311133110
53334242001343121
6124355512525420
711165644034010
oct1526116653724
9357818253523
10114642606036
114468a842802
121a2756b0870
13aa702b3c7a
145797a11540
152eae9a4876
hex1ab13b57d4

114642606036 has 192 divisors, whose sum is σ = 338506076160. Its totient is φ = 29423708160.

The previous prime is 114642605969. The next prime is 114642606131. The reversal of 114642606036 is 630606246411.

It is a junction number, because it is equal to n+sod(n) for n = 114642605985 and 114642606003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16122850 + ... + 16129958.

It is an arithmetic number, because the mean of its divisors is an integer number (1763052480).

Almost surely, 2114642606036 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 114642606036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169253038080).

114642606036 is an abundant number, since it is smaller than the sum of its proper divisors (223863470124).

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

114642606036 is a wasteful number, since it uses less digits than its factorization.

114642606036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 114642606036 in words is "one hundred fourteen billion, six hundred forty-two million, six hundred six thousand, thirty-six".