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114113142 = 2321113431031
BaseRepresentation
bin1101100110100…
…11101001110110
321221201112210200
412303103221312
5213203110032
615153501330
72553642243
oct663235166
9257645720
10114113142
1159460990
1232271846
131a845590
14112265ca
15a04147c
hex6cd3a76

114113142 has 96 divisors (see below), whose sum is σ = 297513216. Its totient is φ = 31147200.

The previous prime is 114113137. The next prime is 114113171. The reversal of 114113142 is 241311411.

It is a super-2 number, since 2×1141131422 = 26043618354224328, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110167 + ... + 111197.

It is an arithmetic number, because the mean of its divisors is an integer number (3099096).

Almost surely, 2114113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148756608).

114113142 is an abundant number, since it is smaller than the sum of its proper divisors (183400074).

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

114113142 is a wasteful number, since it uses less digits than its factorization.

114113142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114113142 is about 10682.3752976574. The cubic root of 114113142 is about 485.0411160098.

Adding to 114113142 its reverse (241311411), we get a palindrome (355424553).

The spelling of 114113142 in words is "one hundred fourteen million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 43 66 78 86 99 117 129 143 198 234 258 286 387 429 473 559 774 858 946 1031 1118 1287 1419 1677 2062 2574 2838 3093 3354 4257 5031 6149 6186 8514 9279 10062 11341 12298 13403 18447 18558 22682 26806 34023 36894 40209 44333 55341 68046 80418 88666 102069 110682 120627 132999 147433 204138 241254 265998 294866 398997 442299 487663 576329 797994 884598 975326 1152658 1326897 1462989 1728987 2653794 2925978 3457974 4388967 5186961 6339619 8777934 10373922 12679238 19018857 38037714 57056571 114113142