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442413332441 = 17376113188019
BaseRepresentation
bin1100111000000011110…
…00111011011111011001
31120021221112201220020022
412130001320323133121
524222030303114231
6535124125040225
743651262164313
oct6340170733731
91507845656208
10442413332441
11160698879863
12718ab3b6075
1332947696b62
14175ad0a07b3
15b7951dbc7b
hex6701e3b7d9

442413332441 has 32 divisors (see below), whose sum is σ = 492723285120. Its totient is φ = 395447270400.

The previous prime is 442413332419. The next prime is 442413332461. The reversal of 442413332441 is 144233314244.

It is a cyclic number.

It is not a de Polignac number, because 442413332441 - 226 = 442346223577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442413332461) 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, 4982330 + ... + 5070348.

It is an arithmetic number, because the mean of its divisors is an integer number (15397602660).

Almost surely, 2442413332441 is an apocalyptic number.

It is an amenable number.

442413332441 is a deficient number, since it is larger than the sum of its proper divisors (50309952679).

442413332441 is a wasteful number, since it uses less digits than its factorization.

442413332441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88265.

The product of its digits is 110592, while the sum is 35.

Adding to 442413332441 its reverse (144233314244), we get a palindrome (586646646685).

The spelling of 442413332441 in words is "four hundred forty-two billion, four hundred thirteen million, three hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 17 37 61 131 629 1037 2227 2257 4847 7991 38369 82399 88019 135847 295667 1496323 3256703 5026339 5369159 11530489 55363951 91275703 196018313 198658883 426628093 703359829 3377201011 7252677581 11957117093 26024313673 442413332441