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541400521221 = 32721227665581
BaseRepresentation
bin1111110000011011111…
…11000101101000000101
31220202110010121002200100
413320031333011220011
532332242013134341
61052414352034313
754054260333400
oct7701577055005
91822403532610
10541400521221
1119967453089a
1288b15b32999
133c091402101
141c2bd7dad37
15e13a5643b6
hex7e0dfc5a05

541400521221 has 18 divisors (see below), whose sum is σ = 909700196262. Its totient is φ = 309371726160.

The previous prime is 541400521219. The next prime is 541400521229. The reversal of 541400521221 is 122125004145.

It is a happy number.

541400521221 is a `hidden beast` number, since 5 + 41 + 400 + 5 + 212 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 537604236225 + 3796284996 = 733215^2 + 61614^2 .

It is not a de Polignac number, because 541400521221 - 21 = 541400521219 is a prime.

It is a super-2 number, since 2×5414005212212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541400521229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 613832350 + ... + 613833231.

Almost surely, 2541400521221 is an apocalyptic number.

It is an amenable number.

541400521221 is a deficient number, since it is larger than the sum of its proper divisors (368299675041).

541400521221 is a wasteful number, since it uses less digits than its factorization.

541400521221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227665601 (or 1227665591 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 541400521221 its reverse (122125004145), we get a palindrome (663525525366).

The spelling of 541400521221 in words is "five hundred forty-one billion, four hundred million, five hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1227665581 3682996743 8593659067 11048990229 25780977201 60155613469 77342931603 180466840407 541400521221