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114255323332000 = 255398292906077
BaseRepresentation
bin11001111110101000100011…
…111101011111110110100000
3112222112200221221010121211221
4121332220203331133312200
5104433424400233111000
61043000100530544424
733031450265164054
oct3176504375376640
9488480857117757
10114255323332000
1133450457433144
1210993544738114
134b9a2ccc94366
14202ddb6a7bc64
15d3209aa0a61a
hex67ea23f5fda0

114255323332000 has 96 divisors (see below), whose sum is σ = 280753986960720. Its totient is φ = 45697463884800.

The previous prime is 114255323331977. The next prime is 114255323332027. The reversal of 114255323332000 is 233323552411.

It can be written as a sum of positive squares in 8 ways, for example, as 10691565881616 + 103563757450384 = 3269796^2 + 10176628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37862962 + ... + 40769038.

Almost surely, 2114255323332000 is an apocalyptic number.

114255323332000 is a gapful number since it is divisible by the number (10) 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 114255323332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140376993480360).

114255323332000 is an abundant number, since it is smaller than the sum of its proper divisors (166498663628720).

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

114255323332000 is an equidigital number, since it uses as much as digits as its factorization.

114255323332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915931 (or 2915913 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 114255323332000 its reverse (233323552411), we get a palindrome (114488646884411).

The spelling of 114255323332000 in words is "one hundred fourteen trillion, two hundred fifty-five billion, three hundred twenty-three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 9829 19658 39316 49145 78632 98290 157264 196580 245725 314528 393160 491450 786320 982900 1228625 1572640 1965800 2457250 2906077 3931600 4914500 5812154 7863200 9829000 11624308 14530385 19658000 23248616 29060770 39316000 46497232 58121540 72651925 92994464 116243080 145303850 232486160 290607700 363259625 464972320 581215400 726519250 1162430800 1453038500 2324861600 2906077000 5812154000 11624308000 28563830833 57127661666 114255323332 142819154165 228510646664 285638308330 457021293328 571276616660 714095770825 914042586656 1142553233320 1428191541650 2285106466640 2856383083300 3570478854125 4570212933280 5712766166600 7140957708250 11425532333200 14281915416500 22851064666400 28563830833000 57127661666000 114255323332000