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20423434144320 = 263257091470189
BaseRepresentation
bin1001010010011001100111…
…00010011000101001000000
32200022110110020111202021200
410221030303202120221000
510134104143120104240
6111234221321221200
74205354510613234
oct451146342305100
980273406452250
1020423434144320
116564591155959
12235a246931800
13b51bc9918c5c
145086dc8405c4
152563d8c49930
hex129333898a40

20423434144320 has 84 divisors (see below), whose sum is σ = 70248103702140. Its totient is φ = 5446249104384.

The previous prime is 20423434144319. The next prime is 20423434144357. The reversal of 20423434144320 is 2344143432402.

20423434144320 is a `hidden beast` number, since 2 + 0 + 4 + 234 + 3 + 414 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15658608753216 + 4764825391104 = 3957096^2 + 2182848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3545732215 + ... + 3545737974.

It is an arithmetic number, because the mean of its divisors is an integer number (836286948835).

Almost surely, 220423434144320 is an apocalyptic number.

20423434144320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20423434144320 is an abundant number, since it is smaller than the sum of its proper divisors (49824669557820).

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

20423434144320 is a wasteful number, since it uses less digits than its factorization.

20423434144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091470212 (or 7091470199 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20423434144320 its reverse (2344143432402), we get a palindrome (22767577576722).

The spelling of 20423434144320 in words is "twenty trillion, four hundred twenty-three billion, four hundred thirty-four million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7091470189 14182940378 21274410567 28365880756 35457350945 42548821134 56731761512 63823231701 70914701890 85097642268 106372052835 113463523024 127646463402 141829403780 170195284536 212744105670 226927046048 255292926804 283658807560 319116158505 340390569072 425488211340 453854092096 510585853608 567317615120 638232317010 680781138144 850976422680 1021171707216 1134635230240 1276464634020 1361562276288 1701952845360 2042343414432 2269270460480 2552929268040 3403905690720 4084686828864 5105858536080 6807811381440 10211717072160 20423434144320