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114212142 = 232112411279
BaseRepresentation
bin1101100111010…
…11110100101110
321221220120121100
412303223310232
5213214242032
615155543530
72554534002
oct663536456
9257816540
10114212142
1159519300
12322baba6
131a87b665
1411250702
15a06097c
hex6cebd2e

114212142 has 72 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 33739200.

The previous prime is 114212107. The next prime is 114212143. The reversal of 114212142 is 241212411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114212143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88659 + ... + 89937.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2114212142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114212142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

114212142 is an abundant number, since it is smaller than the sum of its proper divisors (164640978).

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

114212142 is a wasteful number, since it uses less digits than its factorization.

114212142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114212142 is about 10687.0080939429. The cubic root of 114212142 is about 485.1813428930.

Adding to 114212142 its reverse (241212411), we get a palindrome (355424553).

The spelling of 114212142 in words is "one hundred fourteen million, two hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1279 1353 2178 2558 2706 3837 4059 4961 7674 8118 9922 11511 14069 14883 23022 28138 29766 42207 44649 52439 84414 89298 104878 126621 154759 157317 253242 309518 314634 464277 471951 576829 928554 943902 1153658 1392831 1730487 2785662 3460974 5191461 6345119 10382922 12690238 19035357 38070714 57106071 114212142