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20012041200040 = 2351792931678657
BaseRepresentation
bin1001000110011011010101…
…00110110110000110101000
32121212010120120002211211121
410203031222212312012220
510110334130021400130
6110321223234505024
74133552015362231
oct443155246660650
977763516084747
1020012041200040
1164160715a992a
1222b2574135174
13b22186b42386
144d2833522088
1524a85c043d7a
hex12336a9b61a8

20012041200040 has 64 divisors (see below), whose sum is σ = 47727066142800. Its totient is φ = 7525834948608.

The previous prime is 20012041200017. The next prime is 20012041200079. The reversal of 20012041200040 is 4000214021002.

It can be written as a sum of positive squares in 8 ways, for example, as 6326140493124 + 13685900706916 = 2515182^2 + 3699446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20012041199987 and 20012041200023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15207609 + ... + 16471048.

Almost surely, 220012041200040 is an apocalyptic number.

20012041200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012041200040 is an abundant number, since it is smaller than the sum of its proper divisors (27715024942760).

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

20012041200040 is a wasteful number, since it uses less digits than its factorization.

20012041200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31679614 (or 31679610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20012041200040 its reverse (4000214021002), we get a palindrome (24012255221042).

The spelling of 20012041200040 in words is "twenty trillion, twelve billion, forty-one million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 929 1858 3716 4645 7432 9290 15793 18580 31586 37160 63172 78965 126344 157930 315860 631720 31678657 63357314 126714628 158393285 253429256 316786570 538537169 633573140 1077074338 1267146280 2154148676 2692685845 4308297352 5385371690 10770743380 21541486760 29429472353 58858944706 117717889412 147147361765 235435778824 294294723530 500301030001 588589447060 1000602060002 1177178894120 2001204120004 2501505150005 4002408240008 5003010300010 10006020600020 20012041200040