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141326632305 = 3352631739779
BaseRepresentation
bin1000001110011110111…
…0010100010101110001
3111111210021222210011000
42003213232110111301
54303414104213210
6144531412112213
713132130360655
oct2034756242561
9444707883130
10141326632305
1154a33221681
1223482005669
1310433693121
146ba98c2a65
153a22422ac0
hex20e7b94571

141326632305 has 32 divisors (see below), whose sum is σ = 251263209600. Its totient is φ = 75369445056.

The previous prime is 141326632297. The next prime is 141326632397. The reversal of 141326632305 is 503236623141.

141326632305 is a `hidden beast` number, since 1 + 4 + 1 + 326 + 6 + 323 + 0 + 5 = 666.

141326632305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141326632305 - 23 = 141326632297 is a prime.

It is a super-2 number, since 2×1413266323052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141326632305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3532906 + ... + 3572684.

It is an arithmetic number, because the mean of its divisors is an integer number (7851975300).

Almost surely, 2141326632305 is an apocalyptic number.

141326632305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141326632305 is a deficient number, since it is larger than the sum of its proper divisors (109936577295).

141326632305 is a wasteful number, since it uses less digits than its factorization.

141326632305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66110 (or 66104 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 141326632305 in words is "one hundred forty-one billion, three hundred twenty-six million, six hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 26317 39779 78951 119337 131585 198895 236853 358011 394755 596685 710559 1074033 1184265 1790055 3552795 5370165 1046863943 3140591829 5234319715 9421775487 15702959145 28265326461 47108877435 141326632305