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221440134321 = 32723191800119
BaseRepresentation
bin1100111000111011011…
…1000100110010110001
3210011120112200100122100
43032032313010302301
512112002133244241
6245421142331013
721666331041150
oct3161667046261
9704515610570
10221440134321
1185a0420147a
1236abba29a69
1317b601882a3
14aa09765597
155b608619b6
hex338edc4cb1

221440134321 has 48 divisors (see below), whose sum is σ = 383443107840. Its totient is φ = 120401756640.

The previous prime is 221440134319. The next prime is 221440134341. The reversal of 221440134321 is 123431044122.

221440134321 is a `hidden beast` number, since 2 + 214 + 4 + 0 + 13 + 432 + 1 = 666.

It is not a de Polignac number, because 221440134321 - 21 = 221440134319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221440134341) 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, 123301 + ... + 676818.

It is an arithmetic number, because the mean of its divisors is an integer number (7988398080).

Almost surely, 2221440134321 is an apocalyptic number.

221440134321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221440134321 is a deficient number, since it is larger than the sum of its proper divisors (162002973519).

221440134321 is a wasteful number, since it uses less digits than its factorization.

221440134321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800346 (or 800343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221440134321 its reverse (123431044122), we get a palindrome (344871178443).

The spelling of 221440134321 in words is "two hundred twenty-one billion, four hundred forty million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 191 207 483 573 1337 1449 1719 4011 4393 12033 13179 30751 39537 92253 276759 800119 2400357 5600833 7201071 16802499 18402737 50407497 55208211 128819159 152822729 165624633 386457477 458468187 1069759103 1159372431 1375404561 3209277309 3514922767 9627831927 10544768301 24604459369 31634304903 73813378107 221440134321