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11446145141016 = 23323113183502391
BaseRepresentation
bin1010011010010000001101…
…1010100100100100011000
31111112020111112110002112010
42212210003122210210120
53000013201124003031
640202141514145520
72260646101255215
oct246440332444430
944466445402463
1011446145141016
113713312593793
12134a40aa222a0
1365049cc9aa61
142b7dd40d6b0c
1514cb192e2246
hexa69036a4918

11446145141016 has 64 divisors (see below), whose sum is σ = 30123752670720. Its totient is φ = 3617199111680.

The previous prime is 11446145140987. The next prime is 11446145141017. The reversal of 11446145141016 is 61014154164411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446145141017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91688820 + ... + 91813571.

It is an arithmetic number, because the mean of its divisors is an integer number (470683635480).

Almost surely, 211446145141016 is an apocalyptic number.

It is an amenable number.

11446145141016 is an abundant number, since it is smaller than the sum of its proper divisors (18677607529704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11446145141016 is a wasteful number, since it uses less digits than its factorization.

11446145141016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183502536 (or 183502532 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11446145141016 in words is "eleven trillion, four hundred forty-six billion, one hundred forty-five million, one hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 184 226 276 339 452 552 678 904 1356 2599 2712 5198 7797 10396 15594 20792 31188 62376 183502391 367004782 550507173 734009564 1101014346 1468019128 2202028692 4220554993 4404057384 8441109986 12661664979 16882219972 20735770183 25323329958 33764439944 41471540366 50646659916 62207310549 82943080732 101293319832 124414621098 165886161464 248829242196 476922714209 497658484392 953845428418 1430768142627 1907690856836 2861536285254 3815381713672 5723072570508 11446145141016