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441418338401 = 11329631318379
BaseRepresentation
bin1100110110001101001…
…01010101000001100001
31120012101012110222000012
412123012211111001201
524213011043312101
6534441302534305
743614520653125
oct6330645250141
91505335428005
10441418338401
11160228165037
1271672137395
13328194c03a1
1417516c97585
15b737b98bbb
hex66c6955061

441418338401 has 8 divisors (see below), whose sum is σ = 445475328480. Its totient is φ = 437363991232.

The previous prime is 441418338391. The next prime is 441418338437. The reversal of 441418338401 is 104833814144.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 441418338401 - 218 = 441418076257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (441418338601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324371 + ... + 994008.

It is an arithmetic number, because the mean of its divisors is an integer number (55684416060).

Almost surely, 2441418338401 is an apocalyptic number.

It is an amenable number.

441418338401 is a deficient number, since it is larger than the sum of its proper divisors (4056990079).

441418338401 is a wasteful number, since it uses less digits than its factorization.

441418338401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321455.

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 441418338401 in words is "four hundred forty-one billion, four hundred eighteen million, three hundred thirty-eight thousand, four hundred one".

Divisors: 1 113 2963 334819 1318379 148976827 3906356977 441418338401