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431444134301201 = 7137615173140889
BaseRepresentation
bin110001000011001010110101…
…0010111011000111000010001
32002120121122201112102110122222
41202012111222113120320101
5423022240041340114301
64125334411000110425
7156606544564342640
oct14206255227307021
92076548645373588
10431444134301201
111155204800a672a
124048091b765415
131569801302b298
1478780168c1357
1534d2cba9a231b
hex188656a5d8e11

431444134301201 has 16 divisors (see below), whose sum is σ = 496758881829120. Its totient is φ = 367050232339200.

The previous prime is 431444134301171. The next prime is 431444134301237. The reversal of 431444134301201 is 102103431444134.

It is a cyclic number.

It is not a de Polignac number, because 431444134301201 - 26 = 431444134301137 is a prime.

It is a super-2 number, since 2×4314441343012012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431444134331201) 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, 30671636 + ... + 42469253.

It is an arithmetic number, because the mean of its divisors is an integer number (31047430114320).

Almost surely, 2431444134301201 is an apocalyptic number.

It is an amenable number.

431444134301201 is a deficient number, since it is larger than the sum of its proper divisors (65314747527919).

431444134301201 is a wasteful number, since it uses less digits than its factorization.

431444134301201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73147184.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 431444134301201 its reverse (102103431444134), we get a palindrome (533547565745335).

The spelling of 431444134301201 in words is "four hundred thirty-one trillion, four hundred forty-four billion, one hundred thirty-four million, three hundred one thousand, two hundred one".

Divisors: 1 7 137 959 6151 43057 842687 5898809 73140889 511986223 10020301793 70142112551 449889608239 3149227257673 61634876328743 431444134301201