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421440441114321 = 3210921431221116417
BaseRepresentation
bin101111111010011000011111…
…1110010010101111011010001
32001021012022102221210212212100
41133310300333302111323101
5420214340010411124241
64052155022121151013
7154525032002265546
oct13764607762257321
92037168387725770
10421440441114321
11112313984096752
123b325b9302b469
13151208809c62a5
14760db7d0a6bcd
1533ac9766e19b6
hex17f4c3fc95ed1

421440441114321 has 48 divisors (see below), whose sum is σ = 614706584926720. Its totient is φ = 278213038709760.

The previous prime is 421440441114271. The next prime is 421440441114353. The reversal of 421440441114321 is 123411144044124.

421440441114321 is a `hidden beast` number, since 4 + 2 + 1 + 440 + 44 + 11 + 143 + 21 = 666.

It is not a de Polignac number, because 421440441114321 - 218 = 421440440852177 is a prime.

It is a super-2 number, since 2×4214404411143212 (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 (421440441114221) 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, 25670969505 + ... + 25670985921.

Almost surely, 2421440441114321 is an apocalyptic number.

It is an amenable number.

421440441114321 is a deficient number, since it is larger than the sum of its proper divisors (193266143812399).

421440441114321 is a wasteful number, since it uses less digits than its factorization.

421440441114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30886 (or 30883 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 421440441114321 its reverse (123411144044124), we get a palindrome (544851585158445).

The spelling of 421440441114321 in words is "four hundred twenty-one trillion, four hundred forty billion, four hundred forty-one million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 109 327 981 2143 6429 12211 16417 19287 36633 49251 109899 147753 233587 700761 1330999 1789453 2102283 3992997 5368359 11978991 16105077 26168173 35181631 78504519 105544893 200467987 235513557 316634679 601403961 1804211883 2852330857 3834797779 8556992571 11504393337 21851010583 25670977713 34513180011 65553031749 196659095247 429602896141 1288808688423 3866426065269 46826715679369 140480147038107 421440441114321