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1144330000 = 245411101103
BaseRepresentation
bin100010000110101…
…0001011100010000
32221202020222122121
41010031101130100
54320422030000
6305314544024
740233434032
oct10415213420
92852228577
101144330000
11537a43080
1227b298014
13153102358
14abd9bc52
156a6e0b1a
hex44351710

1144330000 has 200 divisors, whose sum is σ = 3081963456. Its totient is φ = 408000000.

The previous prime is 1144329997. The next prime is 1144330037. The reversal of 1144330000 is 334411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11443300002 = 2618982297800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11109949 + ... + 11110051.

Almost surely, 21144330000 is an apocalyptic number.

1144330000 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 1144330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540981728).

1144330000 is an abundant number, since it is smaller than the sum of its proper divisors (1937633456).

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

1144330000 is a wasteful number, since it uses less digits than its factorization.

1144330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1144330000 is about 33827.9470260907. The cubic root of 1144330000 is about 1045.9648605588.

Adding to 1144330000 its reverse (334411), we get a palindrome (1144664411).

The spelling of 1144330000 in words is "one billion, one hundred forty-four million, three hundred thirty thousand".