Search a number
-
+
140224144000 = 27538764009
BaseRepresentation
bin1000001010011000000…
…0101010001010000000
3111101221110110120111211
42002212000222022000
54244134340102000
6144230150015504
713062612362233
oct2024600521200
9441843416454
10140224144000
1154517967916
1223214947594
13102b9150995
146b032d741a
1539aa7497ba
hex20a602a280

140224144000 has 64 divisors (see below), whose sum is σ = 348632317800. Its totient is φ = 56089651200.

The previous prime is 140224143977. The next prime is 140224144007. The reversal of 140224144000 is 441422041.

It can be written as a sum of positive squares in 4 ways, for example, as 78835162176 + 61388981824 = 280776^2 + 247768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (140224144007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4366005 + ... + 4398004.

Almost surely, 2140224144000 is an apocalyptic number.

140224144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140224144000 is an abundant number, since it is smaller than the sum of its proper divisors (208408173800).

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

140224144000 is an frugal number, since it uses more digits than its factorization.

140224144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764038 (or 8764016 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 140224144000 its reverse (441422041), we get a palindrome (140665566041).

The spelling of 140224144000 in words is "one hundred forty billion, two hundred twenty-four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 8764009 17528018 35056036 43820045 70112072 87640090 140224144 175280180 219100225 280448288 350560360 438200450 560896576 701120720 876400900 1095501125 1121793152 1402241440 1752801800 2191002250 2804482880 3505603600 4382004500 5608965760 7011207200 8764009000 14022414400 17528018000 28044828800 35056036000 70112072000 140224144000