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41456315420564 = 221141210914934511
BaseRepresentation
bin10010110110100010011001…
…11101000100111110010100
312102210011222220022120202112
421123101030331010332110
520413210013221424224
6224100433545530152
711506056066631262
oct1133211475047624
9172704886276675
1041456315420564
1112233585322350
1247966181a3958
131a19410476aa5
14a346d408d432
154bd591db230e
hex25b44cf44f94

41456315420564 has 144 divisors (see below), whose sum is σ = 82417347936000. Its totient is φ = 18092737152000.

The previous prime is 41456315420551. The next prime is 41456315420573. The reversal of 41456315420564 is 46502451365414.

It is a happy number.

41456315420564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1201232069 + ... + 1201266579.

It is an arithmetic number, because the mean of its divisors is an integer number (572342694000).

Almost surely, 241456315420564 is an apocalyptic number.

41456315420564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41456315420564 is a deficient number, since it is larger than the sum of its proper divisors (40961032515436).

41456315420564 is a wasteful number, since it uses less digits than its factorization.

41456315420564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34866 (or 34823 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

Adding to 41456315420564 its reverse (46502451365414), we get a palindrome (87958766785978).

The spelling of 41456315420564 in words is "forty-one trillion, four hundred fifty-six billion, three hundred fifteen million, four hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 41 44 82 109 149 164 218 298 436 451 596 902 1199 1639 1681 1804 2398 3278 3362 4469 4796 6109 6556 6724 8938 12218 16241 17876 18491 24436 32482 34511 36982 49159 64964 67199 69022 73964 98318 134398 138044 178651 183229 196636 250469 268796 357302 366458 379621 500938 665881 714604 732916 759242 1001876 1331762 1414951 1518484 2015519 2663524 2755159 2829902 3761699 4031038 5142139 5510318 5659804 7324691 7523398 8062076 10284278 11020636 14649382 15046796 15564461 20568556 27301121 29298764 31128922 41378689 54602242 56563529 58012991 62257844 82757378 109204484 113127058 116025982 154229659 165514756 210827699 226254116 232051964 300312331 308459318 421655398 560493151 600624662 616918636 638142901 843310796 1120986302 1201249324 1276285802 1696526249 2241972604 2319104689 2552571604 3393052498 4638209378 6165424661 6323416019 6786104996 8643935659 9276418756 12330849322 12646832038 17287871318 22980219191 24661698644 25293664076 34575742636 45960438382 69557576209 91920876764 95083292249 139115152418 190166584498 252782411101 278230304836 380333168996 505564822202 942188986831 1011129644404 1884377973662 3768755947324 10364078855141 20728157710282 41456315420564