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4414130314144 = 251733592221031
BaseRepresentation
bin100000000111011111010…
…1010110101101110100000
3120121222122022221101220021
41000032332222311232200
51034310114330023034
613215453511523224
7633624156412225
oct100167652655640
916558568841807
104414130314144
111452027539141
125b35a3389514
13260334a413b5
1411390601b94c
1579c4d1786b4
hex403beab5ba0

4414130314144 has 48 divisors (see below), whose sum is σ = 8764903002240. Its totient is φ = 2188194292480.

The previous prime is 4414130314129. The next prime is 4414130314151.

4414130314144 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876909 + ... + 3097939.

It is an arithmetic number, because the mean of its divisors is an integer number (182602145880).

Almost surely, 24414130314144 is an apocalyptic number.

It is an amenable number.

4414130314144 is a deficient number, since it is larger than the sum of its proper divisors (4350772688096).

4414130314144 is a wasteful number, since it uses less digits than its factorization.

4414130314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221573 (or 2221565 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 4414130 and 314144, that added together give a palindrome (4728274).

The spelling of 4414130314144 in words is "four trillion, four hundred fourteen billion, one hundred thirty million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 173 346 359 692 718 1384 1436 2768 2872 5536 5744 11488 62107 124214 248428 496856 993712 1987424 2221031 4442062 8884124 17768248 35536496 71072992 384238363 768476726 797350129 1536953452 1594700258 3073906904 3189400516 6147813808 6378801032 12295627616 12757602064 25515204128 137941572317 275883144634 551766289268 1103532578536 2207065157072 4414130314144