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20042240000440 = 2357233330681281
BaseRepresentation
bin1001000111010011100101…
…00110001000000110111000
32121222000112011110212002111
410203221302212020012320
510111333001420003230
6110343140011542104
74136001251061130
oct443516246100670
977860464425074
1020042240000440
116427958a86609
1222b83a175a934
13b24c8a461738
144d409a119ac0
1524b52833b92a
hex123a729881b8

20042240000440 has 64 divisors (see below), whose sum is σ = 51559280775360. Its totient is φ = 6868679516160.

The previous prime is 20042240000413. The next prime is 20042240000441. The reversal of 20042240000440 is 4400004224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042240000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14687401 + ... + 15993880.

It is an arithmetic number, because the mean of its divisors is an integer number (805613762115).

Almost surely, 220042240000440 is an apocalyptic number.

20042240000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042240000440 is an abundant number, since it is smaller than the sum of its proper divisors (31517040774920).

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

20042240000440 is a wasteful number, since it uses less digits than its factorization.

20042240000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30683632 (or 30683628 counting only the distinct ones).

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

Adding to 20042240000440 its reverse (4400004224002), we get a palindrome (24442244224442).

The spelling of 20042240000440 in words is "twenty trillion, forty-two billion, two hundred forty million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2333 4666 9332 11665 16331 18664 23330 32662 46660 65324 81655 93320 130648 163310 326620 653240 30681281 61362562 122725124 153406405 214768967 245450248 306812810 429537934 613625620 859075868 1073844835 1227251240 1718151736 2147689670 4295379340 8590758680 71579428573 143158857146 286317714292 357897142865 501056000011 572635428584 715794285730 1002112000022 1431588571460 2004224000044 2505280000055 2863177142920 4008448000088 5010560000110 10021120000220 20042240000440