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4054313873313 = 321123101912491399
BaseRepresentation
bin111010111111110111111…
…100000010111110100001
3112100120220002211100020200
4322333313330002332201
51012411213322421223
612342305344455413
7565625451213024
oct72776774027641
915316802740220
104054313873313
111323474538580
1255590561a569
13235421504502
141003309691bb
15706de424a43
hex3aff7f02fa1

4054313873313 has 96 divisors (see below), whose sum is σ = 6683040000000. Its totient is φ = 2344463447040.

The previous prime is 4054313873299. The next prime is 4054313873333. The reversal of 4054313873313 is 3133783134504.

4054313873313 is a `hidden beast` number, since 4 + 0 + 543 + 1 + 3 + 8 + 73 + 31 + 3 = 666.

It is not a de Polignac number, because 4054313873313 - 26 = 4054313873249 is a prime.

It is a super-2 number, since 2×40543138733132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4054313873333) 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, 2898007788 + ... + 2898009186.

It is an arithmetic number, because the mean of its divisors is an integer number (69615000000).

Almost surely, 24054313873313 is an apocalyptic number.

It is an amenable number.

4054313873313 is a deficient number, since it is larger than the sum of its proper divisors (2628726126687).

4054313873313 is a wasteful number, since it uses less digits than its factorization.

4054313873313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4054313873313 in words is "four trillion, fifty-four billion, three hundred thirteen million, eight hundred seventy-three thousand, three hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 1019 1249 1399 2277 3057 3747 4197 9171 11209 11241 12591 13739 15389 23437 28727 32177 33627 41217 46167 70311 86181 96531 100881 123651 138501 210933 257807 258543 289593 315997 353947 773421 947991 1061841 1272731 1425581 1747351 2320263 2843973 3185523 3818193 4276743 5242053 11454579 12830229 14000041 15681391 15726159 19220861 29272813 32788363 40189073 42000123 47044173 57662583 87818439 98365089 120567219 126000369 141132519 172987749 263455317 295095267 322000943 360671993 361701657 442079803 966002829 1082015979 1326239409 1780550669 2898008487 3246047937 3978718227 5341652007 16024956021 19586057359 40952665387 58758172077 122857996161 176274516231 368573988483 450479319257 1351437957771 4054313873313