Search a number
-
+
1141400000 = 265513439
BaseRepresentation
bin100010000001000…
…0110000111000000
32221112202010110002
41010002012013000
54314144300000
6305132055132
740166511536
oct10402060700
92845663402
101141400000
11536321794
1227a3044a8
13152617820
14ab838156
156a3128d5
hex440861c0

1141400000 has 168 divisors, whose sum is σ = 3055741920. Its totient is φ = 420480000.

The previous prime is 1141399969. The next prime is 1141400003. The reversal of 1141400000 is 41411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2599781 + ... + 2600219.

It is an arithmetic number, because the mean of its divisors is an integer number (18188940).

Almost surely, 21141400000 is an apocalyptic number.

1141400000 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 1141400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527870960).

1141400000 is an abundant number, since it is smaller than the sum of its proper divisors (1914341920).

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

1141400000 is an frugal number, since it uses more digits than its factorization.

1141400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1141400000 is about 33784.6118817428. The cubic root of 1141400000 is about 1045.0713839044.

Adding to 1141400000 its reverse (41411), we get a palindrome (1141441411).

The spelling of 1141400000 in words is "one billion, one hundred forty-one million, four hundred thousand".