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12403400430421 = 7211131998895197
BaseRepresentation
bin1011010001111110010001…
…0001101101001101010101
31121220202100022011020101201
42310133210101231031111
53111204131002233141
642214013221152501
72420054553052600
oct264374421551525
947822308136351
1012403400430421
113a52286206980
121483a4185b731
136bc835674920
1430c483621337
15167993109031
hexb47e446d355

12403400430421 has 48 divisors (see below), whose sum is σ = 17036083209600. Its totient is φ = 8876693992320.

The previous prime is 12403400430371. The next prime is 12403400430433.

12403400430421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12403400430421 - 229 = 12402863559509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12403400430421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403400430821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3053206 + ... + 5841991.

It is an arithmetic number, because the mean of its divisors is an integer number (354918400200).

Almost surely, 212403400430421 is an apocalyptic number.

12403400430421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12403400430421 is a deficient number, since it is larger than the sum of its proper divisors (4632682779179).

12403400430421 is a wasteful number, since it uses less digits than its factorization.

12403400430421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895434 (or 8895427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 12403400 and 430421, that added together give a palindrome (12833821).

The spelling of 12403400430421 in words is "twelve trillion, four hundred three billion, four hundred million, four hundred thirty thousand, four hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 199 539 637 1001 1393 2189 2587 7007 9751 15323 18109 28457 107261 126763 199199 1394393 8895197 62266379 97847167 115637561 435864653 684930169 809462927 1272013171 1770144203 4794511183 5666240489 8904092197 12391009421 19471586233 23011874639 62328645379 86737065947 136301103631 161083122473 253130621029 954107725417 1127581857311 1771914347203 12403400430421