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1143424000 = 210538933
BaseRepresentation
bin100010000100111…
…0100010000000000
32221200112221212001
41010021310100000
54320204032000
6305243313344
740222641445
oct10411642000
92850487761
101143424000
11537484414
1227ab1b854
13152b75b64
14abc039cc
156a5b246a
hex44274400

1143424000 has 88 divisors (see below), whose sum is σ = 2852912088. Its totient is φ = 457318400.

The previous prime is 1143423997. The next prime is 1143424013. The reversal of 1143424000 is 4243411.

It can be written as a sum of positive squares in 4 ways, for example, as 127599616 + 1015824384 = 11296^2 + 31872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123534 + ... + 132466.

Almost surely, 21143424000 is an apocalyptic number.

1143424000 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 1143424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426456044).

1143424000 is an abundant number, since it is smaller than the sum of its proper divisors (1709488088).

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

1143424000 is an frugal number, since it uses more digits than its factorization.

1143424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1143424000 is about 33814.5530799980. The cubic root of 1143424000 is about 1045.6887472096.

Adding to 1143424000 its reverse (4243411), we get a palindrome (1147667411).

The spelling of 1143424000 in words is "one billion, one hundred forty-three million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 8933 12800 16000 17866 25600 32000 35732 44665 64000 71464 89330 128000 142928 178660 223325 285856 357320 446650 571712 714640 893300 1116625 1143424 1429280 1786600 2233250 2286848 2858560 3573200 4466500 4573696 5717120 7146400 8933000 9147392 11434240 14292800 17866000 22868480 28585600 35732000 45736960 57171200 71464000 114342400 142928000 228684800 285856000 571712000 1143424000