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1143196416 = 2835172347
BaseRepresentation
bin100010000100011…
…1100101100000000
32221200010101200000
41010020330230000
54320124241131
6305234400000
740221003105
oct10410745400
92850111600
101143196416
1153733942a
1227aa30000
13152ac63ab
14abb84aac
156a569ce6
hex4423cb00

1143196416 has 432 divisors, whose sum is σ = 3856978944. Its totient is φ = 335757312.

The previous prime is 1143196361. The next prime is 1143196421. The reversal of 1143196416 is 6146913411.

1143196416 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24323305 + ... + 24323351.

It is an arithmetic number, because the mean of its divisors is an integer number (8928192).

Almost surely, 21143196416 is an apocalyptic number.

1143196416 is a gapful number since it is divisible by the number (16) 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 1143196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928489472).

1143196416 is an abundant number, since it is smaller than the sum of its proper divisors (2713782528).

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

1143196416 is an equidigital number, since it uses as much as digits as its factorization.

1143196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1143196416 is about 33811.1877342397. The cubic root of 1143196416 is about 1045.6193655925.

The spelling of 1143196416 in words is "one billion, one hundred forty-three million, one hundred ninety-six thousand, four hundred sixteen".