Search a number
-
+
20544144000 = 27353428003
BaseRepresentation
bin10011001000100001…
…101100001010000000
31222000202102122111020
4103020201230022000
5314033300102000
613234324145440
71325050225362
oct231041541200
958022378436
1020544144000
1187926a7506
123b94238280
131c25347833
14dcc68cd32
15803903ba0
hex4c886c280

20544144000 has 128 divisors (see below), whose sum is σ = 68103996480. Its totient is φ = 5478425600.

The previous prime is 20544143993. The next prime is 20544144001. The reversal of 20544144000 is 44144502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20544144001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 166002 + ... + 262001.

Almost surely, 220544144000 is an apocalyptic number.

20544144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20544144000 is an abundant number, since it is smaller than the sum of its proper divisors (47559852480).

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

20544144000 is an equidigital number, since it uses as much as digits as its factorization.

20544144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428035 (or 428013 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20544144000 its reverse (44144502), we get a palindrome (20588288502).

The spelling of 20544144000 in words is "twenty billion, five hundred forty-four million, one hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 428003 856006 1284009 1712012 2140015 2568018 3424024 4280030 5136036 6420045 6848048 8560060 10272072 10700075 12840090 13696096 17120120 20544144 21400150 25680180 27392192 32100225 34240240 41088288 42800300 51360360 53500375 54784384 64200450 68480480 82176576 85600600 102720720 107000750 128400900 136960960 160501125 164353152 171201200 205441440 214001500 256801800 273921920 321002250 342402400 410882880 428003000 513603600 642004500 684804800 821765760 856006000 1027207200 1284009000 1369609600 1712012000 2054414400 2568018000 3424024000 4108828800 5136036000 6848048000 10272072000 20544144000