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5321414141235 = 325312263467881
BaseRepresentation
bin100110101101111110011…
…1111111110010100110011
3200211201111111112020111100
41031123330333332110303
51144141224010004420
615152342433015443
71056313413612243
oct115337477762463
920751444466440
105321414141235
111771887610045
1271b3aa9b4583
132c7a6555aa5a
141457b4923b23
159364ed86190
hex4d6fcffe533

5321414141235 has 72 divisors (see below), whose sum is σ = 9567183760992. Its totient is φ = 2736087379200.

The previous prime is 5321414141227. The next prime is 5321414141243.

5321414141235 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 4 + 1 + 414 + 1 + 235 = 666.

5321414141235 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5321414141227) and next prime (5321414141243).

It is not a de Polignac number, because 5321414141235 - 23 = 5321414141227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5321414141235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11139495 + ... + 11607375.

It is an arithmetic number, because the mean of its divisors is an integer number (132877552236).

Almost surely, 25321414141235 is an apocalyptic number.

5321414141235 is a deficient number, since it is larger than the sum of its proper divisors (4245769619757).

5321414141235 is a wasteful number, since it uses less digits than its factorization.

5321414141235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468217 (or 468183 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 5321414141235 in words is "five trillion, three hundred twenty-one billion, four hundred fourteen million, one hundred forty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 263 279 465 789 961 1315 1395 2367 2883 3945 4805 8153 8649 11835 14415 24459 40765 43245 73377 122295 252743 366885 467881 758229 1263715 1403643 2274687 2339405 3791145 4210929 7018215 11373435 14504311 21054645 43512933 72521555 123052703 130538799 217564665 369158109 449633641 615263515 652693995 1107474327 1348900923 1845790545 2248168205 3814633793 4046702769 5537371635 6744504615 11443901379 19073168965 20233513845 34331704137 57219506895 118253647583 171658520685 354760942749 591268237915 1064282828247 1773804713745 5321414141235