Search a number
-
+
20411431200 = 2532522834921
BaseRepresentation
bin10011000000100111…
…011011100100100000
31221200111201010202100
4103000213123210200
5313300311244300
613213223450400
71321546205526
oct230047334440
957614633670
1020411431200
1187247a2406
123b578b6a00
131c039bc354
14db8bc4316
157e6e3b700
hex4c09db920

20411431200 has 108 divisors (see below), whose sum is σ = 71975834658. Its totient is φ = 5443046400.

The previous prime is 20411431171. The next prime is 20411431301. The reversal of 20411431200 is 213411402.

20411431200 is a `hidden beast` number, since 20 + 4 + 11 + 431 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8188802064 + 12222629136 = 90492^2 + 110556^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1410261 + ... + 1424660.

Almost surely, 220411431200 is an apocalyptic number.

20411431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20411431200 is an abundant number, since it is smaller than the sum of its proper divisors (51564403458).

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

20411431200 is a wasteful number, since it uses less digits than its factorization.

20411431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834947 (or 2834931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20411431200 its reverse (213411402), we get a palindrome (20624842602).

The spelling of 20411431200 in words is "twenty billion, four hundred eleven million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 2834921 5669842 8504763 11339684 14174605 17009526 22679368 25514289 28349210 34019052 42523815 45358736 51028578 56698420 68038104 70873025 85047630 90717472 102057156 113396840 127571445 136076208 141746050 170095260 204114312 212619075 226793680 255142890 272152416 283492100 340190520 408228624 425238150 453587360 510285780 566984200 637857225 680381040 816457248 850476300 1020571560 1133968400 1275714450 1360762080 1700952600 2041143120 2267936800 2551428900 3401905200 4082286240 5102857800 6803810400 10205715600 20411431200