Search a number
-
+
114117042 = 23131519689
BaseRepresentation
bin1101100110101…
…00100110110010
321221201202011010
412303110212302
5213203221132
615153531350
72553656514
oct663244662
9257652133
10114117042
1159463906
1232273b56
131a8472a0
1411227bb4
15a0426cc
hex6cd49b2

114117042 has 32 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 34876800.

The previous prime is 114117041. The next prime is 114117043. The reversal of 114117042 is 240711411.

It is an interprime number because it is at equal distance from previous prime (114117041) and next prime (114117043).

It is not an unprimeable number, because it can be changed into a prime (114117041) 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, 6934 + ... + 16622.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2114117042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114117042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721920).

114117042 is an abundant number, since it is smaller than the sum of its proper divisors (133326798).

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

114117042 is a wasteful number, since it uses less digits than its factorization.

114117042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 114117042 is about 10682.5578397685. The cubic root of 114117042 is about 485.0466416334.

Adding to 114117042 its reverse (240711411), we get a palindrome (354828453).

The spelling of 114117042 in words is "one hundred fourteen million, one hundred seventeen thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 906 1963 3926 5889 9689 11778 19378 29067 58134 125957 251914 377871 755742 1463039 2926078 4389117 8778234 19019507 38039014 57058521 114117042