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114400310000 = 245417672943
BaseRepresentation
bin110101010001011001…
…0100011001011110000
3101221021202100212220112
41222202302203023300
53333242434410000
6124315455400452
711156642406404
oct1524262431360
9357252325815
10114400310000
1144575aa1149
121a208523128
13aa3203b032
14577377d104
152e98593235
hex1aa2ca32f0

114400310000 has 100 divisors (see below), whose sum is σ = 293267649312. Its totient is φ = 43068288000.

The previous prime is 114400309981. The next prime is 114400310023. The reversal of 114400310000 is 13004411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×1144003100003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166472 + ... + 506471.

Almost surely, 2114400310000 is an apocalyptic number.

114400310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114400310000 is an abundant number, since it is smaller than the sum of its proper divisors (178867339312).

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

114400310000 is an equidigital number, since it uses as much as digits as its factorization.

114400310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672988 (or 672967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 114400310000 its reverse (13004411), we get a palindrome (114413314411).

The spelling of 114400310000 in words is "one hundred fourteen billion, four hundred million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 672943 1345886 2691772 3364715 5383544 6729430 10767088 11440031 13458860 16823575 22880062 26917720 33647150 45760124 53835440 57200155 67294300 84117875 91520248 114400310 134588600 168235750 183040496 228800620 269177200 286000775 336471500 420589375 457601240 572001550 672943000 841178750 915202480 1144003100 1345886000 1430003875 1682357500 2288006200 2860007750 3364715000 4576012400 5720015500 6729430000 7150019375 11440031000 14300038750 22880062000 28600077500 57200155000 114400310000