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430540404124131 = 32723617168605249
BaseRepresentation
bin110000111100100101111111…
…1110110010110100111100011
32002110102021001000122202110100
41201321023333312112213203
5422412433221423433011
64123403310422033443
7156454342400521410
oct14171137766264743
92073367030582410
10430540404124131
11115202183a65674
1240355746278883
1315630a2a813b12
1478463a3d41107
1534b9525c4cd56
hex18792ffd969e3

430540404124131 has 96 divisors (see below), whose sum is σ = 764409574656000. Its totient is φ = 228208496947200.

The previous prime is 430540404124111. The next prime is 430540404124139. The reversal of 430540404124131 is 131421404045034.

It is a happy number.

430540404124131 is a `hidden beast` number, since 4 + 3 + 0 + 5 + 4 + 0 + 404 + 1 + 241 + 3 + 1 = 666.

It is not a de Polignac number, because 430540404124131 - 211 = 430540404122083 is a prime.

It is a super-2 number, since 2×4305404041241312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (430540404124139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28027006 + ... + 40578243.

It is an arithmetic number, because the mean of its divisors is an integer number (7962599736000).

Almost surely, 2430540404124131 is an apocalyptic number.

430540404124131 is a deficient number, since it is larger than the sum of its proper divisors (333869170531869).

430540404124131 is a wasteful number, since it uses less digits than its factorization.

430540404124131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68605417 (or 68605414 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 430540404124131 its reverse (131421404045034), we get a palindrome (561961808169165).

The spelling of 430540404124131 in words is "four hundred thirty trillion, five hundred forty billion, four hundred four million, one hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 61 63 69 71 161 183 207 213 427 483 497 549 639 1281 1403 1449 1491 1633 3843 4209 4331 4473 4899 9821 11431 12627 12993 14697 29463 30317 34293 38979 88389 90951 99613 102879 272853 298839 697291 896517 2091873 6275619 68605249 205815747 480236743 617447241 1440710229 1577920727 4184920189 4322130687 4733762181 4870972679 11045445089 12554760567 14201286543 14612918037 29294441323 33136335267 34096808753 37664281701 43838754111 87883323969 96253164347 99409005801 102290426259 112032371617 263649971907 288759493041 297129333419 306871278777 336097114851 673772150429 784226601319 866278479123 891388000257 1008291344553 2021316451287 2079905333933 2352679803957 2674164000771 6063949353861 6239716001799 6833974668637 7058039411871 18719148005397 20501924005911 47837822680459 61505772017733 143513468041377 430540404124131