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41441135012123 = 7211313463952951
BaseRepresentation
bin10010110110000110001000…
…01000011010100100011011
312102201201210221200221012212
421123003010020122210123
520412432421030341443
6224045443345025335
711505010646402600
oct1133030410324433
9172651727627185
1041441135012123
11122280a5389850
1247936a032524b
131a17b61442ca2
14a33a93d066a7
154bcea4313618
hex25b0c421a91b

41441135012123 has 48 divisors (see below), whose sum is σ = 52769879009280. Its totient is φ = 32181078384000.

The previous prime is 41441135012113. The next prime is 41441135012171. The reversal of 41441135012123 is 32121053114414.

It is not a de Polignac number, because 41441135012123 - 226 = 41441067903259 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41441135012123.

It is not an unprimeable number, because it can be changed into a prime (41441135012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782605298 + ... + 782658248.

It is an arithmetic number, because the mean of its divisors is an integer number (1099372479360).

Almost surely, 241441135012123 is an apocalyptic number.

41441135012123 is a deficient number, since it is larger than the sum of its proper divisors (11328743997157).

41441135012123 is a wasteful number, since it uses less digits than its factorization.

41441135012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57928 (or 57921 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 41441135012123 its reverse (32121053114414), we get a palindrome (73562188126537).

The spelling of 41441135012123 in words is "forty-one trillion, four hundred forty-one billion, one hundred thirty-five million, twelve thousand, one hundred twenty-three".

Divisors: 1 7 11 49 77 313 539 2191 3443 4639 15337 24101 32473 51029 52951 168707 227311 357203 370657 582461 1452007 2500421 2594599 4077227 10164049 15972077 16573663 28540589 71148343 111804539 116015641 182310293 245639689 782631773 812109487 1276172051 1719477823 2702036579 8933204357 12036344761 18914256053 76885222657 132399792371 538196558599 845737449227 3767375910193 5920162144589 41441135012123