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2314103040 = 2833566959
BaseRepresentation
bin1000100111101110…
…0110100100000000
312222021101121121000
42021323212210000
514214402244130
61021343132000
7111226360044
oct21173464400
95867347530
102314103040
11a88283957
12546ba4000
132ab572452
1417d4a0024
15d825a260
hex89ee6900

2314103040 has 144 divisors (see below), whose sum is σ = 8211974400. Its totient is φ = 617084928.

The previous prime is 2314103023. The next prime is 2314103041. The reversal of 2314103040 is 403014132.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2314103041) 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 15 ways as a sum of consecutive naturals, for example, 1081 + ... + 68039.

It is an arithmetic number, because the mean of its divisors is an integer number (57027600).

Almost surely, 22314103040 is an apocalyptic number.

2314103040 is a gapful number since it is divisible by the number (20) 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 2314103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105987200).

2314103040 is an abundant number, since it is smaller than the sum of its proper divisors (5897871360).

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

2314103040 is an equidigital number, since it uses as much as digits as its factorization.

2314103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66989 (or 66969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2314103040 is about 48105.1248829062. The cubic root of 2314103040 is about 1322.6986114235.

Adding to 2314103040 its reverse (403014132), we get a palindrome (2717117172).

The spelling of 2314103040 in words is "two billion, three hundred fourteen million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 66959 133918 200877 267836 334795 401754 535672 602631 669590 803508 1004385 1071344 1205262 1339180 1607016 1807893 2008770 2142688 2410524 2678360 3013155 3214032 3615786 4017540 4285376 4821048 5356720 6026310 6428064 7231572 8035080 8570752 9039465 9642096 10713440 12052620 12856128 14463144 16070160 17141504 18078930 19284192 21426880 24105240 25712256 28926288 32140320 36157860 38568384 42853760 48210480 51424512 57852576 64280640 72315720 77136768 85707520 96420960 115705152 128561280 144631440 154273536 192841920 231410304 257122560 289262880 385683840 462820608 578525760 771367680 1157051520 2314103040