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14181121603089 = 3272103217412
BaseRepresentation
bin1100111001011100110010…
…1101110011011000010001
31212012200221202011201012100
43032113030231303120101
53324320414112244324
650054414535351013
72662360261520400
oct316271455633021
955180852151170
1014181121603089
1145781a8497871
121710490b22469
137bb37407115c
143705271cb637
15198d3bd084c9
hexce5ccb73611

14181121603089 has 81 divisors (see below), whose sum is σ = 24075558904059. Its totient is φ = 8020214002080.

The previous prime is 14181121603067. The next prime is 14181121603091. The reversal of 14181121603089 is 98030612118141.

The square root of 14181121603089 is 3765783.

It is a perfect power (a square), and thus also a powerful number.

14181121603089 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 11 + 21 + 603 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16286098689 + 14164835504400 = 127617^2 + 3763620^2 .

It is not a de Polignac number, because 14181121603089 - 25 = 14181121603057 is a prime.

It is a super-2 number, since 2×141811216030892 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14181121603039) 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 80 ways as a sum of consecutive naturals, for example, 8145387759 + ... + 8145389499.

Almost surely, 214181121603089 is an apocalyptic number.

14181121603089 is the 3765783-rd square number.

14181121603089 is the 1882892-nd centered octagonal number.

It is an amenable number.

14181121603089 is a deficient number, since it is larger than the sum of its proper divisors (9894437300970).

14181121603089 is an frugal number, since it uses more digits than its factorization.

14181121603089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 14181121603089 in words is "fourteen trillion, one hundred eighty-one billion, one hundred twenty-one million, six hundred three thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 103 147 309 441 721 927 1741 2163 5047 5223 6489 10609 12187 15141 15669 31827 36561 45423 74263 85309 95481 109683 179323 222789 255927 519841 537969 668367 767781 1255261 1559523 1613907 3031081 3765783 4678569 8786827 9093243 11297349 18470269 21217567 26360481 27279729 55410807 63652701 79081443 129291883 148522969 166232421 190958103 312201343 387875649 445568907 905043181 936604029 1163626947 1336706721 2185409401 2715129543 2809812087 6556228203 8145388629 15297865807 19668684609 32156738329 45893597421 96470214987 137680792263 225097168303 289410644961 675291504909 1575680178121 2025874514727 4727040534363 14181121603089