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302142130000 = 245445176689
BaseRepresentation
bin1000110010110010001…
…00110000011101010000
31001212212210201111200021
410121121010300131100
514422241341130000
6350445134233224
730554235505324
oct4313104603520
91055783644607
10302142130000
111071573a0277
124a682955814
132265187a959
14108a3837984
157cd579911a
hex4659130750

302142130000 has 100 divisors (see below), whose sum is σ = 731787643620. Its totient is φ = 120812032000.

The previous prime is 302142129953. The next prime is 302142130019. The reversal of 302142130000 is 31241203.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 271557716544 + 30584413456 = 521112^2 + 174884^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45166656 + ... + 45173344.

Almost surely, 2302142130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302142130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365893821810).

302142130000 is an abundant number, since it is smaller than the sum of its proper divisors (429645513620).

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

302142130000 is an equidigital number, since it uses as much as digits as its factorization.

302142130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 302142130000 its reverse (31241203), we get a palindrome (302173371203).

The spelling of 302142130000 in words is "three hundred two billion, one hundred forty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4517 5000 6689 9034 10000 13378 18068 22585 26756 33445 36136 45170 53512 66890 72272 90340 107024 112925 133780 167225 180680 225850 267560 334450 361360 451700 535120 564625 668900 836125 903400 1129250 1337800 1672250 1806800 2258500 2675600 2823125 3344500 4180625 4517000 5646250 6689000 8361250 9034000 11292500 13378000 16722500 22585000 30214213 33445000 45170000 60428426 66890000 120856852 151071065 241713704 302142130 483427408 604284260 755355325 1208568520 1510710650 2417137040 3021421300 3776776625 6042842600 7553553250 12085685200 15107106500 18883883125 30214213000 37767766250 60428426000 75535532500 151071065000 302142130000