Search a number
-
+
1141800000 = 2635511173
BaseRepresentation
bin100010000001110…
…0111110001000000
32221120111110010220
41010003213301000
54314300100000
6305144423040
740203065655
oct10403476100
92846443126
101141800000
11536575270
1227a477a80
13152727903
14ab8ddc2c
156a3911a0
hex440e7c40

1141800000 has 336 divisors, whose sum is σ = 4143109824. Its totient is φ = 275200000.

The previous prime is 1141799987. The next prime is 1141800043. The reversal of 1141800000 is 81411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599914 + ... + 6600086.

It is an arithmetic number, because the mean of its divisors is an integer number (12330684).

Almost surely, 21141800000 is an apocalyptic number.

1141800000 is a gapful number since it is divisible by the number (10) 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 1141800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071554912).

1141800000 is an abundant number, since it is smaller than the sum of its proper divisors (3001309824).

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

1141800000 is an equidigital number, since it uses as much as digits as its factorization.

1141800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1141800000 is about 33790.5312180794. The cubic root of 1141800000 is about 1045.1934502939.

Adding to 1141800000 its reverse (81411), we get a palindrome (1141881411).

The spelling of 1141800000 in words is "one billion, one hundred forty-one million, eight hundred thousand".