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1143781344 = 253329191239
BaseRepresentation
bin100010000101100…
…1011011111100000
32221201020010001000
41010023023133200
54320302000334
6305255112000
740225660326
oct10413133740
92851203030
101143781344
115376a8942
1227b072600
13152c6c6c4
14abc97d16
156a633299
hex442cb7e0

1143781344 has 192 divisors, whose sum is σ = 3483648000. Its totient is φ = 364654080.

The previous prime is 1143781337. The next prime is 1143781351. The reversal of 1143781344 is 4431873411.

It is an interprime number because it is at equal distance from previous prime (1143781337) and next prime (1143781351).

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

It is a junction number, because it is equal to n+sod(n) for n = 1143781299 and 1143781308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4785577 + ... + 4785815.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 21143781344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143781344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

1143781344 is an abundant number, since it is smaller than the sum of its proper divisors (2339866656).

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

1143781344 is a wasteful number, since it uses less digits than its factorization.

1143781344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1143781344 is about 33819.8365460272. The cubic root of 1143781344 is about 1045.7976690910.

The spelling of 1143781344 in words is "one billion, one hundred forty-three million, seven hundred eighty-one thousand, three hundred forty-four".