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1141463268 = 2232112882483
BaseRepresentation
bin100010000001001…
…0101100011100100
32221112212100020100
41010002111203210
54314203311033
6305133304100
740200164151
oct10402254344
92845770210
101141463268
11536365280
1227a335030
1315263a56a
14ab853228
156a326513
hex440958e4

1141463268 has 36 divisors (see below), whose sum is σ = 3147672528. Its totient is φ = 345897840.

The previous prime is 1141463231. The next prime is 1141463269. The reversal of 1141463268 is 8623641411.

1141463268 is a `hidden beast` number, since 1 + 1 + 4 + 14 + 632 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1141463269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1440846 + ... + 1441637.

It is an arithmetic number, because the mean of its divisors is an integer number (87435348).

Almost surely, 21141463268 is an apocalyptic number.

1141463268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1141463268 is an abundant number, since it is smaller than the sum of its proper divisors (2006209260).

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

1141463268 is a wasteful number, since it uses less digits than its factorization.

1141463268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882504 (or 2882499 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1141463268 is about 33785.5482122164. The cubic root of 1141463268 is about 1045.0906930437.

The spelling of 1141463268 in words is "one billion, one hundred forty-one million, four hundred sixty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2882483 5764966 8647449 11529932 17294898 25942347 31707313 34589796 51884694 63414626 95121939 103769388 126829252 190243878 285365817 380487756 570731634 1141463268