Search a number
-
+
20042434103220 = 22325200355590043
BaseRepresentation
bin1001000111010011111100…
…01010100100011110110100
32121222001000200201022001100
410203221332022210132310
510111333401112300340
6110343211144130100
74136006125654344
oct443517612443664
977861020638040
1020042434103220
116427a48600931
1222b8436766930
13b24cbb732759
144d40b7c04d24
1524b53a3cd830
hex123a7e2a47b4

20042434103220 has 72 divisors (see below), whose sum is σ = 60825736704096. Its totient is φ = 5341980676032.

The previous prime is 20042434103203. The next prime is 20042434103231. The reversal of 20042434103220 is 2230143424002.

20042434103220 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 2 + 434 + 1 + 0 + 3 + 220 = 666.

It is a super-2 number, since 2×200424341032202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27434482 + ... + 28155561.

It is an arithmetic number, because the mean of its divisors is an integer number (844801898668).

Almost surely, 220042434103220 is an apocalyptic number.

20042434103220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042434103220 is an abundant number, since it is smaller than the sum of its proper divisors (40783302600876).

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

20042434103220 is a wasteful number, since it uses less digits than its factorization.

20042434103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55592061 (or 55592056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20042434103220 its reverse (2230143424002), we get a palindrome (22272577527222).

The spelling of 20042434103220 in words is "twenty trillion, forty-two billion, four hundred thirty-four million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2003 4006 6009 8012 10015 12018 18027 20030 24036 30045 36054 40060 60090 72108 90135 120180 180270 360540 55590043 111180086 166770129 222360172 277950215 333540258 500310387 555900430 667080516 833850645 1000620774 1111800860 1667701290 2001241548 2501551935 3335402580 5003103870 10006207740 111346856129 222693712258 334040568387 445387424516 556734280645 668081136774 1002121705161 1113468561290 1336162273548 1670202841935 2004243410322 2226937122580 3340405683870 4008486820644 5010608525805 6680811367740 10021217051610 20042434103220