Search a number
-
+
20430331342240 = 255196720503731
BaseRepresentation
bin1001010010100110011101…
…01001000110110110100000
32200100010020220210201010111
410221103032221012312200
510134212304310422430
6111241321544141104
74206020441050051
oct451231651066640
980303226721114
1020430331342240
116567500474826
12235b650767794
13b52758839b61
14508b9487a728
1525668e508c2a
hex1294cea46da0

20430331342240 has 48 divisors (see below), whose sum is σ = 50807008213920. Its totient is φ = 7742020296960.

The previous prime is 20430331342231. The next prime is 20430331342241. The reversal of 20430331342240 is 4224313303402.

It is a happy number.

20430331342240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (20430331342241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3360248826 + ... + 3360254905.

It is an arithmetic number, because the mean of its divisors is an integer number (1058479337790).

Almost surely, 220430331342240 is an apocalyptic number.

20430331342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430331342240 is an abundant number, since it is smaller than the sum of its proper divisors (30376676871680).

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

20430331342240 is a wasteful number, since it uses less digits than its factorization.

20430331342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720503765 (or 6720503757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 20430331342240 its reverse (4224313303402), we get a palindrome (24654644645642).

The spelling of 20430331342240 in words is "twenty trillion, four hundred thirty billion, three hundred thirty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 6720503731 13441007462 26882014924 33602518655 53764029848 67205037310 107528059696 127689570889 134410074620 215056119392 255379141778 268820149240 510758283556 537640298480 638447854445 1021516567112 1075280596960 1276895708890 2043033134224 2553791417780 4086066268448 5107582835560 10215165671120 20430331342240