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1141342416 = 24327925989
BaseRepresentation
bin100010000000111…
…1000000011010000
32221112122012110100
41010001320003100
54314140424131
6305130532400
740166151624
oct10401700320
92845565410
101141342416
115362924a5
1227a297100
131525c7556
14ab821184
156a3007e6
hex440780d0

1141342416 has 30 divisors (see below), whose sum is σ = 3194173970. Its totient is φ = 380447424.

The previous prime is 1141342403. The next prime is 1141342427. The reversal of 1141342416 is 6142431411.

1141342416 is a `hidden beast` number, since 1 + 1 + 413 + 4 + 241 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1141088400 + 254016 = 33780^2 + 504^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1141342416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3962851 + ... + 3963138.

Almost surely, 21141342416 is an apocalyptic number.

1141342416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141342416 is an abundant number, since it is smaller than the sum of its proper divisors (2052831554).

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

1141342416 is a wasteful number, since it uses less digits than its factorization.

1141342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926003 (or 7925994 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1141342416 is about 33783.7596486833. The cubic root of 1141342416 is about 1045.0538088789.

Adding to 1141342416 its reverse (6142431411), we get a palindrome (7283773827).

The spelling of 1141342416 in words is "one billion, one hundred forty-one million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7925989 15851978 23777967 31703956 47555934 63407912 71333901 95111868 126815824 142667802 190223736 285335604 380447472 570671208 1141342416