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41064246014 = 21121924773137
BaseRepresentation
bin100110001111100111…
…101010101011111110
310220222211121211120112
4212033213222223332
51133044421333024
630510433150022
72652416221601
oct461747525376
9126884554515
1041064246014
1116462772900
127b603bb312
133b456c522c
141db7a80338
15110515900e
hex98f9eaafe

41064246014 has 144 divisors (see below), whose sum is σ = 74516065344. Its totient is φ = 16945251840.

The previous prime is 41064245987. The next prime is 41064246017.

41064246014 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41064246017) 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 71 ways as a sum of consecutive naturals, for example, 299738954 + ... + 299739090.

It is an arithmetic number, because the mean of its divisors is an integer number (517472676).

Almost surely, 241064246014 is an apocalyptic number.

41064246014 is a deficient number, since it is larger than the sum of its proper divisors (33451819330).

41064246014 is a wasteful number, since it uses less digits than its factorization.

41064246014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 41064246014 in words is "forty-one billion, sixty-four million, two hundred forty-six thousand, fourteen".

Divisors: 1 2 11 19 22 38 47 73 94 121 137 146 209 242 274 361 418 517 722 803 893 1034 1387 1507 1606 1786 2299 2603 2774 3014 3431 3971 4598 5206 5687 6439 6862 7942 8833 9823 10001 11374 12878 15257 16577 16967 17666 19646 20002 26353 28633 30514 33154 33934 37741 43681 49457 52706 57266 65189 70829 75482 87362 98914 108053 110011 122341 130378 141658 167827 186637 190019 216106 220022 244682 289883 314963 335654 373274 380038 415151 470047 544027 579766 629926 717079 779119 830302 940094 1088054 1210121 1238591 1345751 1434158 1558238 2053007 2090209 2324479 2420242 2477182 2691502 3188713 3610361 4106014 4180418 4648958 5170517 5984297 6377426 7220722 7887869 8930893 10341034 11968594 13624501 14803261 15775738 17861786 22992299 25569269 27249002 29606522 39713971 45984598 51138538 56875687 79427942 98239823 113751374 149869511 169686967 196479646 281261959 299739022 339373934 436853681 562523918 873707362 1080638053 1866556637 2161276106 3733113274 20532123007 41064246014