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1144143000 = 23325371113127
BaseRepresentation
bin100010000110010…
…0011110010011000
32221201220111010200
41010030203302120
54320400034000
6305310542200
740232024610
oct10414436230
92851814120
101144143000
11537925630
1227b207960
131530681c0
14abd4da40
156a6a5500
hex44323c98

1144143000 has 768 divisors, whose sum is σ = 5233213440. Its totient is φ = 217728000.

The previous prime is 1144142957. The next prime is 1144143031. The reversal of 1144143000 is 3414411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9008937 + ... + 9009063.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 21144143000 is an apocalyptic number.

1144143000 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 1144143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616606720).

1144143000 is an abundant number, since it is smaller than the sum of its proper divisors (4089070440).

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

1144143000 is a wasteful number, since it uses less digits than its factorization.

1144143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1144143000 is about 33825.1829263346. The cubic root of 1144143000 is about 1045.9078822150.

Adding to 1144143000 its reverse (3414411), we get a palindrome (1147557411).

The spelling of 1144143000 in words is "one billion, one hundred forty-four million, one hundred forty-three thousand".