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20020240440400 = 245264178082061
BaseRepresentation
bin1001000110101010100110…
…10100011101110001010000
32121212220201222102102010111
410203111103110131301100
510111002423023043100
6110325101013011104
74134262135644124
oct443252324356120
977786658372114
1020020240440400
116419599890532
1222b4082023a94
13b22b92734aa5
144d2db0451584
1524ab8bc986ba
hex12355351dc50

20020240440400 has 60 divisors (see below), whose sum is σ = 48173665135644. Its totient is φ = 7995602944000.

The previous prime is 20020240440373. The next prime is 20020240440401. The reversal of 20020240440400 is 404404202002.

It can be written as a sum of positive squares in 6 ways, for example, as 492820848144 + 19527419592256 = 702012^2 + 4418984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020240440401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38784631 + ... + 39297430.

Almost surely, 220020240440400 is an apocalyptic number.

20020240440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020240440400 is an abundant number, since it is smaller than the sum of its proper divisors (28153424695244).

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

20020240440400 is a wasteful number, since it uses less digits than its factorization.

20020240440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78082720 (or 78082709 counting only the distinct ones).

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

Adding to 20020240440400 its reverse (404404202002), we get a palindrome (20424644642402).

The spelling of 20020240440400 in words is "twenty trillion, twenty billion, two hundred forty million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 641 1282 2564 3205 5128 6410 10256 12820 16025 25640 32050 51280 64100 128200 256400 78082061 156164122 312328244 390410305 624656488 780820610 1249312976 1561641220 1952051525 3123282440 3904103050 6246564880 7808206100 15616412200 31232824400 50050601101 100101202202 200202404404 250253005505 400404808808 500506011010 800809617616 1001012022020 1251265027525 2002024044040 2502530055050 4004048088080 5005060110100 10010120220200 20020240440400