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114300714 = 23112313503
BaseRepresentation
bin1101101000000…
…01011100101010
321222002002002210
412310001130222
5213230110324
615201505550
72555353143
oct664013452
9258062083
10114300714
1159579900
12323422b6
131a8aca78
1411274aca
15a07bd29
hex6d0172a

114300714 has 48 divisors (see below), whose sum is σ = 252576576. Its totient is φ = 34457280.

The previous prime is 114300691. The next prime is 114300749. The reversal of 114300714 is 417003411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226987 + ... + 227489.

It is an arithmetic number, because the mean of its divisors is an integer number (5262012).

Almost surely, 2114300714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114300714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126288288).

114300714 is an abundant number, since it is smaller than the sum of its proper divisors (138275862).

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

114300714 is a wasteful number, since it uses less digits than its factorization.

114300714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114300714 is about 10691.1512008764. The cubic root of 114300714 is about 485.3067305480.

The spelling of 114300714 in words is "one hundred fourteen million, three hundred thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 313 363 503 626 726 939 1006 1509 1878 3018 3443 5533 6886 10329 11066 16599 20658 33198 37873 60863 75746 113619 121726 157439 182589 227238 314878 365178 472317 944634 1731829 3463658 5195487 10390974 19050119 38100238 57150357 114300714