Search a number
-
+
8863140000 = 2535411131033
BaseRepresentation
bin10000100000100100…
…01100100010100000
3211212200120011101110
420100102030202200
5121122430440000
64023251503320
7432431306211
oct102022144240
924780504343
108863140000
1138390142a0
1218742b7b40
13ab3302250
1460118b408
1536d195850
hex21048c8a0

8863140000 has 480 divisors, whose sum is σ = 34188606144. Its totient is φ = 1981440000.

The previous prime is 8863139963. The next prime is 8863140001. The reversal of 8863140000 is 413688.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8863140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8863140001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8579484 + ... + 8580516.

Almost surely, 28863140000 is an apocalyptic number.

8863140000 is a gapful number since it is divisible by the number (80) 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 8863140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094303072).

8863140000 is an abundant number, since it is smaller than the sum of its proper divisors (25325466144).

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

8863140000 is a wasteful number, since it uses less digits than its factorization.

8863140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8863140000 is about 94144.2510193798. The cubic root of 8863140000 is about 2069.4862082201.

Adding to 8863140000 its reverse (413688), we get a palindrome (8863553688).

The spelling of 8863140000 in words is "eight billion, eight hundred sixty-three million, one hundred forty thousand".