Search a number
-
+
431403403401 = 326110926772693
BaseRepresentation
bin1100100011100011010…
…01011000100010001001
31112020112020121112220200
412101301221120202021
524032003232402101
6530103424042413
743111402265655
oct6216151304211
91466466545820
10431403403401
11156a58a7a153
126b738163409
13318b16a4049
1416c46b67a65
15b34d83a986
hex6471a58889

431403403401 has 48 divisors (see below), whose sum is σ = 639640407120. Its totient is φ = 280083432960.

The previous prime is 431403403363. The next prime is 431403403429. The reversal of 431403403401 is 104304304134.

431403403401 is a `hidden beast` number, since 4 + 314 + 0 + 3 + 4 + 0 + 340 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125704993401 + 305698410000 = 354549^2 + 552900^2 .

It is not a de Polignac number, because 431403403401 - 27 = 431403403273 is a prime.

It is a super-2 number, since 2×4314034034012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431403403601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160193011 + ... + 160195703.

It is an arithmetic number, because the mean of its divisors is an integer number (13325841815).

Almost surely, 2431403403401 is an apocalyptic number.

It is an amenable number.

431403403401 is a deficient number, since it is larger than the sum of its proper divisors (208237003719).

431403403401 is a wasteful number, since it uses less digits than its factorization.

431403403401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 431403403401 its reverse (104304304134), we get a palindrome (535707707535).

The spelling of 431403403401 in words is "four hundred thirty-one billion, four hundred three million, four hundred three thousand, four hundred one".

Divisors: 1 3 9 61 109 183 327 549 981 2677 2693 6649 8031 8079 19947 24093 24237 59841 163297 164273 291793 293537 489891 492819 875379 880611 1469673 1478457 2626137 2641833 7209161 17799373 17905757 21627483 53398119 53717271 64882449 160194357 161151813 439758821 785798549 1319276463 2357395647 3957829389 7072186941 47933711489 143801134467 431403403401