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1142188816 = 243715712289
BaseRepresentation
bin100010000010100…
…0110101100010000
32221121020012111111
41010011012230100
54314400020231
6305201023104
740206305356
oct10405065420
92847205444
101142188816
115368103aa
1227a624a94
13152832892
14ab9a17d6
156a41b4b1
hex44146b10

1142188816 has 40 divisors (see below), whose sum is σ = 2287463960. Its totient is φ = 552075264.

The previous prime is 1142188811. The next prime is 1142188891. The reversal of 1142188816 is 6188812411.

It can be written as a sum of positive squares in 4 ways, for example, as 450288400 + 691900416 = 21220^2 + 26304^2 .

It is not an unprimeable number, because it can be changed into a prime (1142188811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86800 + ... + 99088.

It is an arithmetic number, because the mean of its divisors is an integer number (57186599).

Almost surely, 21142188816 is an apocalyptic number.

1142188816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1142188816 is an abundant number, since it is smaller than the sum of its proper divisors (1145275144).

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

1142188816 is a wasteful number, since it uses less digits than its factorization.

1142188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12491 (or 12485 counting only the distinct ones).

The product of its digits is 24576, while the sum is 40.

The square root of 1142188816 is about 33796.2840560911. The cubic root of 1142188816 is about 1045.3120763861.

The spelling of 1142188816 in words is "one billion, one hundred forty-two million, one hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 37 74 148 157 296 314 592 628 1256 2512 5809 11618 12289 23236 24578 46472 49156 92944 98312 196624 454693 909386 1818772 1929373 3637544 3858746 7275088 7717492 15434984 30869968 71386801 142773602 285547204 571094408 1142188816