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1143240400 = 24522858101
BaseRepresentation
bin100010000100100…
…0111011011010000
32221200012122000001
41010021013123100
54320132143100
6305235335344
740221245251
oct10411073320
92850178001
101143240400
11537369485
1227aa51554
13152b10413
14abb96b28
156a577d6a
hex442476d0

1143240400 has 30 divisors (see below), whose sum is σ = 2746636022. Its totient is φ = 457296000.

The previous prime is 1143240383. The next prime is 1143240401. The reversal of 1143240400 is 40423411.

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 1142710416 = 728^2 + 33804^2 .

It is a super-2 number, since 2×11432404002 = 2613997224384320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143240401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1428651 + ... + 1429450.

Almost surely, 21143240400 is an apocalyptic number.

1143240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143240400 is an abundant number, since it is smaller than the sum of its proper divisors (1603395622).

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

1143240400 is a wasteful number, since it uses less digits than its factorization.

1143240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858119 (or 2858108 counting only the distinct ones).

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

The square root of 1143240400 is about 33811.8381635782. The cubic root of 1143240400 is about 1045.6327753419.

Adding to 1143240400 its reverse (40423411), we get a palindrome (1183663811).

The spelling of 1143240400 in words is "one billion, one hundred forty-three million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2858101 5716202 11432404 14290505 22864808 28581010 45729616 57162020 71452525 114324040 142905050 228648080 285810100 571620200 1143240400