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20400040446420 = 2235583675825221
BaseRepresentation
bin1001010001101110000010…
…01010100000100111010100
32200020020001220010202201010
410220313001022200213110
510133213240323241140
6111215352121132220
74203566006510325
oct450670112404724
980206056122633
1020400040446420
116555677005428
1223557b832a070
13b4c93c113b6b
1450751d94c44c
152559ba0bd880
hex128dc12a09d4

20400040446420 has 48 divisors (see below), whose sum is σ = 57121101692928. Its totient is φ = 5439916648320.

The previous prime is 20400040446413. The next prime is 20400040446427. The reversal of 20400040446420 is 2464404000402.

It is an interprime number because it is at equal distance from previous prime (20400040446413) and next prime (20400040446427).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400040446427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589410 + ... + 6414630.

It is an arithmetic number, because the mean of its divisors is an integer number (1190022951936).

Almost surely, 220400040446420 is an apocalyptic number.

20400040446420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400040446420 is an abundant number, since it is smaller than the sum of its proper divisors (36721061246508).

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

20400040446420 is a wasteful number, since it uses less digits than its factorization.

20400040446420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883600 (or 5883598 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20400040446420 its reverse (2464404000402), we get a palindrome (22864444446822).

The spelling of 20400040446420 in words is "twenty trillion, four hundred billion, forty million, four hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 58367 116734 175101 233468 291835 350202 583670 700404 875505 1167340 1751010 3502020 5825221 11650442 17475663 23300884 29126105 34951326 58252210 69902652 87378315 116504420 174756630 349513260 340000674107 680001348214 1020002022321 1360002696428 1700003370535 2040004044642 3400006741070 4080008089284 5100010111605 6800013482140 10200020223210 20400040446420