Search a number
-
+
12222142440444 = 22324364451122503
BaseRepresentation
bin1011000111011011000001…
…1101010110001111111100
31121021102111010021022022200
42301312300131112033330
53100221421431043234
641554435201311500
72401010040421326
oct261666035261774
947242433238280
1012222142440444
113992421860262
121454896935590
136a870a213b11
143037aa71c616
15162dd525cd99
hexb1db07563fc

12222142440444 has 72 divisors (see below), whose sum is σ = 31614093743232. Its totient is φ = 3979207965600.

The previous prime is 12222142440419. The next prime is 12222142440511. The reversal of 12222142440444 is 44404424122221.

12222142440444 is a `hidden beast` number, since 1 + 2 + 2 + 221 + 4 + 24 + 404 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12222142440399 and 12222142440408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99708897 + ... + 99831399.

Almost surely, 212222142440444 is an apocalyptic number.

It is an amenable number.

12222142440444 is an abundant number, since it is smaller than the sum of its proper divisors (19391951302788).

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

12222142440444 is a wasteful number, since it uses less digits than its factorization.

12222142440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187007 (or 187002 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 12222142440444 its reverse (44404424122221), we get a palindrome (56626566562665).

The spelling of 12222142440444 in words is "twelve trillion, two hundred twenty-two billion, one hundred forty-two million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 64451 122503 128902 193353 245006 257804 367509 386706 490012 580059 735018 773412 1102527 1160118 1470036 2205054 2320236 2771393 4410108 5267629 5542786 8314179 10535258 11085572 15802887 16628358 21070516 24942537 31605774 33256716 47408661 49885074 63211548 94817322 99770148 189634644 7895440853 15790881706 23686322559 31581763412 47372645118 71058967677 94745290236 142117935354 284235870708 339503956679 679007913358 1018511870037 1358015826716 2037023740074 3055535610111 4074047480148 6111071220222 12222142440444