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4102442334 = 2322352318947
BaseRepresentation
bin1111010010000110…
…0100110101011110
3101120220110122220200
43310201210311132
531400211123314
61515025324330
7203443120164
oct36441446536
911526418820
104102442334
1118157a3711
12965a966a6
13504c0ba93
142acbbd234
1519025d709
hexf4864d5e

4102442334 has 48 divisors (see below), whose sum is σ = 9293311872. Its totient is φ = 1305455184.

The previous prime is 4102442317. The next prime is 4102442353. The reversal of 4102442334 is 4332442014.

It is a happy number.

4102442334 is a `hidden beast` number, since 410 + 244 + 2 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4102442298 and 4102442307.

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 23 ways as a sum of consecutive naturals, for example, 207049 + ... + 225995.

It is an arithmetic number, because the mean of its divisors is an integer number (193610664).

Almost surely, 24102442334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102442334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646655936).

4102442334 is an abundant number, since it is smaller than the sum of its proper divisors (5190869538).

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

4102442334 is a wasteful number, since it uses less digits than its factorization.

4102442334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19501 (or 19498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4102442334 is about 64050.3109594325. The cubic root of 4102442334 is about 1600.8384061681.

Adding to 4102442334 its reverse (4332442014), we get a palindrome (8434884348).

The spelling of 4102442334 in words is "four billion, one hundred two million, four hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 523 1046 1569 3138 4707 9414 12029 18947 24058 36087 37894 56841 72174 108261 113682 170523 216522 341046 435781 871562 1307343 2614686 3922029 7844058 9909281 19818562 29727843 59455686 89183529 178367058 227913463 455826926 683740389 1367480778 2051221167 4102442334