Search a number
-
+
20006444044400 = 24521110145019001
BaseRepresentation
bin1001000110010000111001…
…11111011001000001110000
32121211121010111001212201212
410203020130333121001300
510110241144133410100
6110314500012215252
74133263222343222
oct443103477310160
977747114055655
1020006444044400
11641375a106a70
1222b147176a528
13b217a4372768
144d2462018412
1524a630982635
hex12321cfd9070

20006444044400 has 120 divisors (see below), whose sum is σ = 52954231368528. Its totient is φ = 7203040000000.

The previous prime is 20006444044333. The next prime is 20006444044429. The reversal of 20006444044400 is 444044460002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22065101 + ... + 22953900.

Almost surely, 220006444044400 is an apocalyptic number.

20006444044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006444044400 is an abundant number, since it is smaller than the sum of its proper divisors (32947787324128).

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

20006444044400 is a wasteful number, since it uses less digits than its factorization.

20006444044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45019131 (or 45019120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 20006444044400 in words is "twenty trillion, six billion, four hundred forty-four million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 45019001 90038002 180076004 225095005 360152008 450190010 495209011 720304016 900380020 990418022 1125475025 1800760040 1980836044 2250950050 2476045055 3601520080 3961672088 4501900100 4546919101 4952090110 7923344176 9003800200 9093838202 9904180220 12380225275 18007600400 18187676404 19808360440 22734595505 24760450550 36375352808 39616720880 45469191010 49520901100 50016110111 72750705616 90938382020 99041802200 100032220222 113672977525 181876764040 198083604400 200064440444 227345955050 250080550555 363753528080 400128880888 454691910100 500161101110 800257761776 909383820200 1000322202220 1250402752775 1818767640400 2000644404440 2500805505550 4001288808880 5001611011100 10003222022200 20006444044400