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4140430002 = 2321743331249
BaseRepresentation
bin1111011011001001…
…1111001010110010
3101200112221122012100
43312302133022302
531434422230002
61522503441230
7204414034332
oct36662371262
911615848170
104140430002
11183518a385
12976756216
1350ca4c6a7
142b3c6b0c2
1519376411c
hexf6c9f2b2

4140430002 has 48 divisors (see below), whose sum is σ = 9520875000. Its totient is φ = 1295917056.

The previous prime is 4140429991. The next prime is 4140430003. The reversal of 4140430002 is 2000340414.

It can be written as a sum of positive squares in 4 ways, for example, as 3540131001 + 600299001 = 59499^2 + 24501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4140430003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116874 + ... + 148122.

Almost surely, 24140430002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760437500).

4140430002 is an abundant number, since it is smaller than the sum of its proper divisors (5380444998).

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

4140430002 is a wasteful number, since it uses less digits than its factorization.

4140430002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31707 (or 31704 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140430002 is about 64346.1731729246. The cubic root of 4140430002 is about 1605.7643641369.

Adding to 4140430002 its reverse (2000340414), we get a palindrome (6140770416).

The spelling of 4140430002 in words is "four billion, one hundred forty million, four hundred thirty thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 433 866 1299 2598 3897 7361 7794 14722 22083 31249 44166 62498 66249 93747 132498 187494 281241 531233 562482 1062466 1593699 3187398 4781097 9562194 13530817 27061634 40592451 81184902 121777353 230023889 243554706 460047778 690071667 1380143334 2070215001 4140430002