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16443417415141 = 472441928115443
BaseRepresentation
bin1110111101001000100000…
…0011011100110111100101
32011012222100000212101111001
43233102020003130313211
54123402104324241031
654550000210113301
73314666132606653
oct357221003346745
964188300771431
1016443417415141
11526a6834a7442
121a16a1727b831
139237b8bbb732
1440bc194addd3
151d7ae7303861
hexef4880dcde5

16443417415141 has 16 divisors (see below), whose sum is σ = 16803055196928. Its totient is φ = 16084189542400.

The previous prime is 16443417415129. The next prime is 16443417415147. The reversal of 16443417415141 is 14151471434461.

It is a cyclic number.

It is not a de Polignac number, because 16443417415141 - 27 = 16443417415013 is a prime.

It is a super-3 number, since 3×164434174151413 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16443417415091 and 16443417415100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16443417415147) 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 15 ways as a sum of consecutive naturals, for example, 1064773566 + ... + 1064789008.

It is an arithmetic number, because the mean of its divisors is an integer number (1050190949808).

Almost surely, 216443417415141 is an apocalyptic number.

It is an amenable number.

16443417415141 is a deficient number, since it is larger than the sum of its proper divisors (359637781787).

16443417415141 is a wasteful number, since it uses less digits than its factorization.

16443417415141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27212.

The product of its digits is 645120, while the sum is 46.

The spelling of 16443417415141 in words is "sixteen trillion, four hundred forty-three billion, four hundred seventeen million, four hundred fifteen thousand, one hundred forty-one".

Divisors: 1 47 2441 9281 15443 114727 436207 725821 22654921 37696363 143326483 1064781287 1771729061 6736344701 349859945003 16443417415141