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1223440414344 = 233216992227977
BaseRepresentation
bin10001110011011010101…
…110110011011010001000
311022221220122222112110200
4101303122232303122020
5130021101221224334
62334012450012200
7154250664636321
oct21633256633210
94287818875420
101223440414344
11431949245355
1217913b877060
138b4a6998775
14433016db448
1521c579e3799
hex11cdabb3688

1223440414344 has 24 divisors (see below), whose sum is σ = 3313484455710. Its totient is φ = 407813471424.

The previous prime is 1223440414333. The next prime is 1223440414351. The reversal of 1223440414344 is 4434140443221.

1223440414344 is a `hidden beast` number, since 1 + 2 + 234 + 4 + 0 + 414 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1188182841444 + 35257572900 = 1090038^2 + 187770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 1223440414299 and 1223440414308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8496113917 + ... + 8496114060.

Almost surely, 21223440414344 is an apocalyptic number.

It is an amenable number.

1223440414344 is an abundant number, since it is smaller than the sum of its proper divisors (2090044041366).

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

1223440414344 is a wasteful number, since it uses less digits than its factorization.

1223440414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992227989 (or 16992227982 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1223440414344 its reverse (4434140443221), we get a palindrome (5657580857565).

The spelling of 1223440414344 in words is "one trillion, two hundred twenty-three billion, four hundred forty million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 16992227977 33984455954 50976683931 67968911908 101953367862 135937823816 152930051793 203906735724 305860103586 407813471448 611720207172 1223440414344