Search a number
-
+
13524255033014 = 21141137349313589
BaseRepresentation
bin1100010011001101110001…
…1010101100011010110110
31202212220110120211120202002
43010303130122230122312
53233040133242024024
644432542413215302
72564044435015025
oct304633432543266
952786416746662
1013524255033014
114344671431520
121625111791532
13771440bb7a1b
1434a8126b08bc
15186be48866ae
hexc4cdc6ac6b6

13524255033014 has 64 divisors (see below), whose sum is σ = 22901352264000. Its totient is φ = 5936597145600.

The previous prime is 13524255033011. The next prime is 13524255033017. The reversal of 13524255033014 is 41033055242531.

It is an interprime number because it is at equal distance from previous prime (13524255033011) and next prime (13524255033017).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13524255033011) 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 31 ways as a sum of consecutive naturals, for example, 42970532 + ... + 43284120.

It is an arithmetic number, because the mean of its divisors is an integer number (357833629125).

Almost surely, 213524255033014 is an apocalyptic number.

13524255033014 is a deficient number, since it is larger than the sum of its proper divisors (9377097230986).

13524255033014 is a wasteful number, since it uses less digits than its factorization.

13524255033014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314129.

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 13524255033014 in words is "thirteen trillion, five hundred twenty-four billion, two hundred fifty-five million, thirty-three thousand, fourteen".

Divisors: 1 2 11 22 41 82 137 274 349 451 698 902 1507 3014 3839 5617 7678 11234 14309 28618 47813 61787 95626 123574 157399 313589 314798 525943 627178 1051886 1960333 3449479 3920666 6898958 12857149 21563663 25714298 42961693 43127326 85923386 109442561 141428639 218885122 282857278 472578623 945157246 1203868171 1761429413 2407736342 3522858826 4487145001 8974290002 14993630857 19375723543 29987261714 38751447086 49358595011 98717190022 164929939427 329859878854 614738865137 1229477730274 6762127516507 13524255033014