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41003044402221 = 321125776910392017
BaseRepresentation
bin10010101001010110000111…
…11001010111010000101101
312101011212000122221002112100
421110223003321113100231
520333243213331332341
6223112312154525313
711431241443560006
oct1124530371272055
9171155018832470
1041003044402221
1112079325688460
1247227b8736839
1319b57554c3025
14a1a7b4da61ad
154b18b38983b6
hex254ac3e5742d

41003044402221 has 96 divisors (see below), whose sum is σ = 65041347571200. Its totient is φ = 24685408419840.

The previous prime is 41003044402219. The next prime is 41003044402223. The reversal of 41003044402221 is 12220444030014.

41003044402221 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 30 + 4 + 4 + 402 + 221 = 666.

41003044402221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41003044402219) and next prime (41003044402223).

It is not a de Polignac number, because 41003044402221 - 21 = 41003044402219 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41003044402223) 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, 20328727005 + ... + 20328729021.

It is an arithmetic number, because the mean of its divisors is an integer number (677514037200).

Almost surely, 241003044402221 is an apocalyptic number.

It is an amenable number.

41003044402221 is a deficient number, since it is larger than the sum of its proper divisors (24038303168979).

41003044402221 is a wasteful number, since it uses less digits than its factorization.

41003044402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41003044402221 its reverse (12220444030014), we get a palindrome (53223488432235).

The spelling of 41003044402221 in words is "forty-one trillion, three billion, forty-four million, four hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 257 769 771 1039 2017 2307 2313 2827 3117 6051 6921 8459 8481 9351 11429 18153 22187 25377 25443 34287 66561 76131 102861 197633 199683 267023 518369 592899 798991 801069 1551073 1555107 1778697 2095663 2173963 2396973 2403207 2937253 4653219 4665321 5702059 6286989 6521889 7190919 8788901 8811759 13959657 17061803 17106177 18860967 19565667 23052293 26366703 26435277 51185409 51318531 69156879 79100109 153556227 205340687 207470637 398625761 538585391 616022061 1195877283 1611564847 1615756173 1848066183 2258747557 3587631849 4384883371 4834694541 4847268519 5924439301 6776242671 13154650113 14504083623 17727213317 17773317903 20328728013 39463950339 53181639951 53319953709 159544919853 414172165679 1242516497037 3727549491111 4555893822469 13667681467407 41003044402221