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434141320314 = 2313101499110437
BaseRepresentation
bin1100101000101001101…
…01101101010001111010
31112111121001111010211210
412110110311231101322
524103110134222224
6531235231103550
743236266223012
oct6242465552172
91474531433753
10434141320314
111581335036a9
1270181071bb6
1331c299a5120
141702662ac42
15b45ddb0429
hex6514d6d47a

434141320314 has 64 divisors (see below), whose sum is σ = 946232784000. Its totient is φ = 131993107200.

The previous prime is 434141320313. The next prime is 434141320397. The reversal of 434141320314 is 413023141434.

It is not an unprimeable number, because it can be changed into a prime (434141320313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3875904 + ... + 3986340.

It is an arithmetic number, because the mean of its divisors is an integer number (14784887250).

Almost surely, 2434141320314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434141320314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473116392000).

434141320314 is an abundant number, since it is smaller than the sum of its proper divisors (512091463686).

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

434141320314 is a wasteful number, since it uses less digits than its factorization.

434141320314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111055.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 434141320314 its reverse (413023141434), we get a palindrome (847164461748).

The spelling of 434141320314 in words is "four hundred thirty-four billion, one hundred forty-one million, three hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 499 606 998 1313 1497 2626 2994 3939 6487 7878 12974 19461 38922 50399 100798 110437 151197 220874 302394 331311 655187 662622 1310374 1435681 1965561 2871362 3931122 4307043 8614086 11154137 22308274 33462411 55108063 66924822 110216126 145003781 165324189 290007562 330648378 435011343 716404819 870022686 1432809638 2149214457 4298428914 5565914363 11131828726 16697743089 33395486178 72356886719 144713773438 217070660157 434141320314