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134533545335431 = 112411391634212843
BaseRepresentation
bin11110100101101110001000…
…001011100001101010000111
3122122100021121002101022020021
4132211232020023201222013
5120113144200101213211
61154043505120120011
740223504445222064
oct3645561013415207
9578307532338207
10134533545335431
11399593a1072300
1213109604166007
135a0b5c7244298
14253165b969c6b
1510847d6175771
hex7a5b882e1a87

134533545335431 has 96 divisors (see below), whose sum is σ = 153927018766080. Its totient is φ = 117414069696000.

The previous prime is 134533545335411. The next prime is 134533545335471.

134533545335431 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-134533545335431 is a prime.

It is a super-2 number, since 2×1345335453354312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134533545335401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47320978296 + ... + 47320981138.

It is an arithmetic number, because the mean of its divisors is an integer number (1603406445480).

Almost surely, 2134533545335431 is an apocalyptic number.

134533545335431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134533545335431 is a deficient number, since it is larger than the sum of its proper divisors (19393473430649).

134533545335431 is a wasteful number, since it uses less digits than its factorization.

134533545335431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3618 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 52.

The spelling of 134533545335431 in words is "one hundred thirty-four trillion, five hundred thirty-three billion, five hundred forty-five million, three hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 11 41 121 139 163 421 451 1529 1793 2843 4631 4961 5699 6683 16819 17261 19723 22657 31273 50941 58519 62689 68623 73513 116563 189871 249227 344003 395177 463409 643709 689579 754853 808643 928937 1196903 1282193 2088581 2399279 2741497 2813543 4346947 5097499 7080799 8303383 9538597 10218307 13165933 14104123 16202257 18999769 26392069 30948973 47816417 49073023 56072489 64413851 104924567 112401377 144825263 166369517 178224827 195095189 208997459 290312759 340438703 391082477 539803253 708552361 1154170237 1830064687 1960473097 2146047079 2298972049 2640967891 4301907247 5937835783 6821150197 7794075971 7998902749 20130711557 23606517869 27118231271 29050646801 47320979717 75032652167 87987930239 298300543981 319557114811 825359173837 967867232629 1111847482111 3281305983791 12230322303221 134533545335431