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20122144143400 = 23521321149365941
BaseRepresentation
bin1001001001101000011010…
…10000001111100000101000
32122020122202211012212221201
410210310031100033200220
510114140122400042100
6110443552503013544
74144530330064135
oct444641520174050
978218684185851
1020122144143400
1164588318708a2
12230b98143a2b4
13b2c6827736c0
144d7cba26158c
1524d6531c336a
hex124d0d40f828

20122144143400 has 96 divisors (see below), whose sum is σ = 50385273183000. Its totient is φ = 7429343155200.

The previous prime is 20122144143391. The next prime is 20122144143443. The reversal of 20122144143400 is 434144122102.

It can be written as a sum of positive squares in 12 ways, for example, as 33407797284 + 20088736346116 = 182778^2 + 4482046^2 .

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 23 ways as a sum of consecutive naturals, for example, 54804430 + ... + 55170370.

Almost surely, 220122144143400 is an apocalyptic number.

20122144143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122144143400 is an abundant number, since it is smaller than the sum of its proper divisors (30263129039600).

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

20122144143400 is a wasteful number, since it uses less digits than its factorization.

20122144143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387119 (or 387110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20122144143400 its reverse (434144122102), we get a palindrome (20556288265502).

The spelling of 20122144143400 in words is "twenty trillion, one hundred twenty-two billion, one hundred forty-four million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 21149 42298 84596 105745 169192 211490 274937 365941 422980 528725 549874 731882 845960 1057450 1099748 1374685 1463764 1829705 2114900 2199496 2749370 2927528 3659410 4229800 4757233 5498740 6873425 7318820 9148525 9514466 10997480 13746850 14637640 18297050 19028932 23786165 27493700 36594100 38057864 47572330 54987400 73188200 95144660 118930825 190289320 237861650 475723300 951446600 7739286209 15478572418 30957144836 38696431045 61914289672 77392862090 100610720717 154785724180 193482155225 201221441434 309571448360 386964310450 402442882868 503053603585 773928620900 804885765736 1006107207170 1547857241800 2012214414340 2515268017925 4024428828680 5030536035850 10061072071700 20122144143400