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22412113331140 = 2251386200435889
BaseRepresentation
bin1010001100010001110100…
…00011011100001111000100
32221100120120201020201001201
411012020322003130033010
510414200002003044030
6115355552134032244
74502136030032131
oct506107203341704
987316521221051
1022412113331140
117160a18769195
12261b74b4a8684
13c675b794b5b0
14576a7598d588
1528cecce172ca
hex14623a0dc3c4

22412113331140 has 24 divisors (see below), whose sum is σ = 50685856303320. Its totient is φ = 8275241845248.

The previous prime is 22412113331129. The next prime is 22412113331171. The reversal of 22412113331140 is 4113331121422.

It can be written as a sum of positive squares in 4 ways, for example, as 764477430336 + 21647635900804 = 874344^2 + 4652702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22412113331099 and 22412113331108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43100217685 + ... + 43100218204.

It is an arithmetic number, because the mean of its divisors is an integer number (2111910679305).

Almost surely, 222412113331140 is an apocalyptic number.

22412113331140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412113331140 is an abundant number, since it is smaller than the sum of its proper divisors (28273742972180).

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

22412113331140 is a wasteful number, since it uses less digits than its factorization.

22412113331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86200435911 (or 86200435909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 22412113331140 its reverse (4113331121422), we get a palindrome (26525444452562).

The spelling of 22412113331140 in words is "twenty-two trillion, four hundred twelve billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 86200435889 172400871778 344801743556 431002179445 862004358890 1120605666557 1724008717780 2241211333114 4482422666228 5603028332785 11206056665570 22412113331140