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919110114 = 232139740493
BaseRepresentation
bin110110110010001…
…000000111100010
32101001110122001100
4312302020013202
53340243010424
6231111415230
731530210216
oct6662100742
92331418040
10919110114
114318a503a
12217984516
13118557a50
148a0d2946
1555a53dc9
hex36c881e2

919110114 has 48 divisors (see below), whose sum is σ = 2166752952. Its totient is φ = 279880704.

The previous prime is 919110113. The next prime is 919110131. The reversal of 919110114 is 411011919.

It can be written as a sum of positive squares in 4 ways, for example, as 402684489 + 516425625 = 20067^2 + 22725^2 .

It is not an unprimeable number, because it can be changed into a prime (919110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2452 + ... + 42944.

Almost surely, 2919110114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919110114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083376476).

919110114 is an abundant number, since it is smaller than the sum of its proper divisors (1247642838).

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

919110114 is a wasteful number, since it uses less digits than its factorization.

919110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40611 (or 40608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The square root of 919110114 is about 30316.8288908982. The cubic root of 919110114 is about 972.2751405722.

The spelling of 919110114 in words is "nine hundred nineteen million, one hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 7566 11349 22698 40493 80986 121479 242958 364437 526409 728874 1052818 1579227 3158454 3927821 4737681 7855642 9475362 11783463 23566926 35350389 51061673 70700778 102123346 153185019 306370038 459555057 919110114