Search a number
-
+
1145440000 = 28547159
BaseRepresentation
bin100010001000110…
…0000011100000000
32221211100101021201
41010101200130000
54321213040000
6305354430544
740246036135
oct10421403400
92854311251
101145440000
11538631031
1227b732454
13153400663
14ac1aa58c
156a85e96a
hex44460700

1145440000 has 90 divisors (see below), whose sum is σ = 2857491560. Its totient is φ = 458112000.

The previous prime is 1145439989. The next prime is 1145440013. The reversal of 1145440000 is 445411.

It is a self number, because there is not a number n which added to its sum of digits gives 1145440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156421 + ... + 163579.

Almost surely, 21145440000 is an apocalyptic number.

1145440000 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 1145440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428745780).

1145440000 is an abundant number, since it is smaller than the sum of its proper divisors (1712051560).

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

1145440000 is an frugal number, since it uses more digits than its factorization.

1145440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1145440000 is about 33844.3496022600. The cubic root of 1145440000 is about 1046.3029465423.

Adding to 1145440000 its reverse (445411), we get a palindrome (1145885411).

The spelling of 1145440000 in words is "one billion, one hundred forty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 7159 8000 10000 14318 16000 20000 28636 32000 35795 40000 57272 71590 80000 114544 143180 160000 178975 229088 286360 357950 458176 572720 715900 894875 916352 1145440 1431800 1789750 1832704 2290880 2863600 3579500 4474375 4581760 5727200 7159000 8948750 9163520 11454400 14318000 17897500 22908800 28636000 35795000 45817600 57272000 71590000 114544000 143180000 229088000 286360000 572720000 1145440000