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4424303041344 = 263225130601919
BaseRepresentation
bin100000001100001110100…
…0000101101101101000000
3120122221220021201111012100
41000120131000231231000
51034441433034310334
613224255144430400
7634434232232064
oct100303500555500
916587807644170
104424303041344
1114563777a86aa
125b5562178400
132612964572c4
141141cd0a3aa4
157a1462a4c99
hex4061d02db40

4424303041344 has 84 divisors (see below), whose sum is σ = 12731990019840. Its totient is φ = 1468892064000.

The previous prime is 4424303041297. The next prime is 4424303041349. The reversal of 4424303041344 is 4431403034244.

4424303041344 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 3 + 0 + 304 + 1 + 344 = 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 = 4424303041299 and 4424303041308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424303041349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15156384 + ... + 15445535.

It is an arithmetic number, because the mean of its divisors is an integer number (151571309760).

Almost surely, 24424303041344 is an apocalyptic number.

It is an amenable number.

4424303041344 is an abundant number, since it is smaller than the sum of its proper divisors (8307686978496).

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

4424303041344 is a wasteful number, since it uses less digits than its factorization.

4424303041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30602188 (or 30602175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4424303041344 its reverse (4431403034244), we get a palindrome (8855706075588).

The spelling of 4424303041344 in words is "four trillion, four hundred twenty-four billion, three hundred three million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 288 502 576 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 16064 18072 24096 36144 48192 72288 144576 30601919 61203838 91805757 122407676 183611514 244815352 275417271 367223028 489630704 550834542 734446056 979261408 1101669084 1468892112 1958522816 2203338168 2937784224 4406676336 5875568448 7681081669 8813352672 15362163338 17626705344 23043245007 30724326676 46086490014 61448653352 69129735021 92172980028 122897306704 138259470042 184345960056 245794613408 276518940084 368691920112 491589226816 553037880168 737383840224 1106075760336 1474767680448 2212151520672 4424303041344