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114066141 = 3717417793
BaseRepresentation
bin1101100110010…
…00001011011101
321221122011022220
412303020023131
5213200104031
615152455553
72553355230
oct663101335
9257564286
10114066141
1159429642
123224a5b9
131a82a077
1411213417
15a032596
hex6cc82dd

114066141 has 32 divisors (see below), whose sum is σ = 188552448. Its totient is φ = 59842560.

The previous prime is 114066137. The next prime is 114066149. The reversal of 114066141 is 141660411.

It is not a de Polignac number, because 114066141 - 22 = 114066137 is a prime.

It is a super-2 number, since 2×1140661412 = 26022169045263762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114066149) 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, 10741 + ... + 18533.

It is an arithmetic number, because the mean of its divisors is an integer number (5892264).

Almost surely, 2114066141 is an apocalyptic number.

It is an amenable number.

114066141 is a deficient number, since it is larger than the sum of its proper divisors (74486307).

114066141 is a wasteful number, since it uses less digits than its factorization.

114066141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114066141 is about 10680.1751390134. The cubic root of 114066141 is about 484.9745138413.

The spelling of 114066141 in words is "one hundred fourteen million, sixty-six thousand, one hundred forty-one".

Divisors: 1 3 7 17 21 41 51 119 123 287 357 697 861 2091 4879 7793 14637 23379 54551 132481 163653 319513 397443 927367 958539 2236591 2782101 5431721 6709773 16295163 38022047 114066141