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20020404420400 = 24521671193251221
BaseRepresentation
bin1001000110101010111010…
…00101111111111100110000
32121212221011101222110101211
410203111131011333330300
510111003242012423100
6110325125151405504
74134266166520666
oct443253505777460
977787141873354
1020020404420400
11641967340109a
1222b4108b23894
13b22bba6b9c87
144d2dc8138c36
1524ab9b38a1ba
hex12355d17ff30

20020404420400 has 120 divisors (see below), whose sum is σ = 48427791610464. Its totient is φ = 7953504614400.

The previous prime is 20020404420383. The next prime is 20020404420413. The reversal of 20020404420400 is 402440402002.

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, 79566790 + ... + 79818010.

Almost surely, 220020404420400 is an apocalyptic number.

20020404420400 is a gapful number since it is divisible by the number (20) 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 20020404420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213895805232).

20020404420400 is an abundant number, since it is smaller than the sum of its proper divisors (28407387190064).

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

20020404420400 is a wasteful number, since it uses less digits than its factorization.

20020404420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252599 (or 252588 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20020404420400 its reverse (402440402002), we get a palindrome (20422844822402).

The spelling of 20020404420400 in words is "twenty trillion, twenty billion, four hundred four million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1193 1336 1670 2386 2672 3340 4175 4772 5965 6680 8350 9544 11930 13360 16700 19088 23860 29825 33400 47720 59650 66800 95440 119300 199231 238600 251221 398462 477200 502442 796924 996155 1004884 1256105 1593848 1992310 2009768 2512210 3187696 3984620 4019536 4980775 5024420 6280525 7969240 9961550 10048840 12561050 15938480 19923100 20097680 25122100 39846200 41953907 50244200 79692400 83907814 100488400 167815628 209769535 299706653 335631256 419539070 599413306 671262512 839078140 1048847675 1198826612 1498533265 1678156280 2097695350 2397653224 2997066530 3356312560 4195390700 4795306448 5994133060 7492666325 8390781400 11988266120 14985332650 16781562800 23976532240 29970665300 50051011051 59941330600 100102022102 119882661200 200204044204 250255055255 400408088408 500510110510 800816176816 1001020221020 1251275276275 2002040442040 2502550552550 4004080884080 5005101105100 10010202210200 20020404420400