Search a number
-
+
8436000911240 = 2357171994219901
BaseRepresentation
bin111101011000010100011…
…0101100110111110001000
31002212110210102000112220002
41322300220311212332020
52101203412213124430
625535240104422132
71530323652421160
oct172605065467610
932773712015802
108436000911240
112762762652041
12b42b53777948
13492685922036
14212439c555a0
15e968e200845
hex7ac28d66f88

8436000911240 has 256 divisors, whose sum is σ = 24182490124800. Its totient is φ = 2578397184000.

The previous prime is 8436000911213. The next prime is 8436000911249. The reversal of 8436000911240 is 421190006348.

It is a super-2 number, since 2×84360009112402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 8436000911194 and 8436000911203.

It is not an unprimeable number, because it can be changed into a prime (8436000911249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852030290 + ... + 852040190.

It is an arithmetic number, because the mean of its divisors is an integer number (94462852050).

Almost surely, 28436000911240 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 8436000911240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091245062400).

8436000911240 is an abundant number, since it is smaller than the sum of its proper divisors (15746489213560).

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

8436000911240 is a wasteful number, since it uses less digits than its factorization.

8436000911240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19376 (or 19372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

Adding to 8436000911240 its reverse (421190006348), we get a palindrome (8857190917588).

The spelling of 8436000911240 in words is "eight trillion, four hundred thirty-six billion, nine hundred eleven thousand, two hundred forty".