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114042012 = 22373103269
BaseRepresentation
bin1101100110000…
…10010010011100
321221120221020020
412303002102130
5213143321022
615152152140
72553225000
oct663022234
9257527206
10114042012
11594124a7
1232238650
131a81c0a6
1411208700
15a02a35c
hex6cc249c

114042012 has 96 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 32147136.

The previous prime is 114042011. The next prime is 114042041. The reversal of 114042012 is 210240411.

It is a junction number, because it is equal to n+sod(n) for n = 114041982 and 114042000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423814 + ... + 424082.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2114042012 is an apocalyptic number.

114042012 is a gapful number since it is divisible by the number (12) 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 114042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

114042012 is an abundant number, since it is smaller than the sum of its proper divisors (200453988).

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

114042012 is a wasteful number, since it uses less digits than its factorization.

114042012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114042012 is about 10679.0454629616. The cubic root of 114042012 is about 484.9403150417.

Adding to 114042012 its reverse (210240411), we get a palindrome (324282423).

The spelling of 114042012 in words is "one hundred fourteen million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 269 294 309 343 412 538 588 618 686 721 807 1029 1076 1236 1372 1442 1614 1883 2058 2163 2884 3228 3766 4116 4326 5047 5649 7532 8652 10094 11298 13181 15141 20188 22596 26362 27707 30282 35329 39543 52724 55414 60564 70658 79086 83121 92267 105987 110828 141316 158172 166242 184534 193949 211974 276801 332484 369068 387898 423948 553602 581847 775796 1107204 1163694 1357643 2327388 2715286 4072929 5430572 8145858 9503501 16291716 19007002 28510503 38014004 57021006 114042012