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34132244414303 = 71011447231114437
BaseRepresentation
bin1111100001011000010000…
…10011011011111101011111
311110212000021210120202122202
413300230020103123331133
513433210314032224203
6200332045302002115
710121654556360530
oct760541023337537
9143760253522582
1034132244414303
11a96a449167502
1239b308371633b
1316078700c19b9
1486001bcb4687
153e2cd0b89388
hex1f0b084dbf5f

34132244414303 has 32 divisors (see below), whose sum is σ = 39441514948608. Its totient is φ = 28931996016000.

The previous prime is 34132244414299. The next prime is 34132244414341. The reversal of 34132244414303 is 30341444223143.

It is not a de Polignac number, because 34132244414303 - 22 = 34132244414299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132244414003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364212801 + ... + 2364227237.

It is an arithmetic number, because the mean of its divisors is an integer number (1232547342144).

Almost surely, 234132244414303 is an apocalyptic number.

34132244414303 is a deficient number, since it is larger than the sum of its proper divisors (5309270534305).

34132244414303 is a wasteful number, since it uses less digits than its factorization.

34132244414303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18303.

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 34132244414303 its reverse (30341444223143), we get a palindrome (64473688637446).

The spelling of 34132244414303 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred forty-four million, four hundred fourteen thousand, three hundred three".

Divisors: 1 7 101 707 1447 2311 10129 14437 16177 101059 146147 233411 1023029 1458137 1633877 3344017 10206959 20890339 23408119 33363907 146232373 233547349 337745717 2109924239 2364220019 3369754607 14769469673 23588282249 48277573429 337943014003 4876034916329 34132244414303