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320404132401441 = 31164007151689911
BaseRepresentation
bin100100011011001111110011…
…0011111110001000100100001
31120000110100001212211012120220
41020312133212133301010201
5313444000130343321231
63053235343150153253
7124326302042321424
oct11066374637610441
91500410055735526
10320404132401441
11930aa6a1905260
122bb285737b2829
13109a1c981c512a
1459198dd9d39bb
1527096a7cb8896
hex12367e67f1121

320404132401441 has 16 divisors (see below), whose sum is σ = 466049658590208. Its totient is φ = 194181287589200.

The previous prime is 320404132401407. The next prime is 320404132401443. The reversal of 320404132401441 is 144104231404023.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 320404132401441 - 26 = 320404132401377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (320404132401443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73732725 + ... + 77957186.

It is an arithmetic number, because the mean of its divisors is an integer number (29128103661888).

Almost surely, 2320404132401441 is an apocalyptic number.

It is an amenable number.

320404132401441 is a deficient number, since it is larger than the sum of its proper divisors (145645526188767).

320404132401441 is a wasteful number, since it uses less digits than its factorization.

320404132401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151753932.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 320404132401441 its reverse (144104231404023), we get a palindrome (464508363805464).

The spelling of 320404132401441 in words is "three hundred twenty trillion, four hundred four billion, one hundred thirty-two million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 11 33 64007 192021 704077 2112231 151689911 455069733 1668589021 5005767063 9709216133377 29127648400131 106801377467147 320404132401441