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14036984181 = 351113140087
BaseRepresentation
bin11010001001010101…
…10110000101110101
31100020021001200100000
431010222312011311
5212221431443211
610240513141513
71004564253063
oct150452660565
940207050300
1014036984181
115a53569a80
122878b5a899
13142918aacc
14972383033
155724db656
hex344ab6175

14036984181 has 48 divisors (see below), whose sum is σ = 23113778688. Its totient is φ = 8442111600.

The previous prime is 14036984161. The next prime is 14036984197. The reversal of 14036984181 is 18148963041.

14036984181 is a `hidden beast` number, since 1 + 403 + 69 + 8 + 4 + 181 = 666.

14036984181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14036984181 is a prime.

It is a super-2 number, since 2×140369841812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14036984131) 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 47 ways as a sum of consecutive naturals, for example, 330120 + ... + 370206.

It is an arithmetic number, because the mean of its divisors is an integer number (481537056).

Almost surely, 214036984181 is an apocalyptic number.

14036984181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14036984181 is a deficient number, since it is larger than the sum of its proper divisors (9076794507).

14036984181 is a wasteful number, since it uses less digits than its factorization.

14036984181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40244 (or 40232 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14036984181 in words is "fourteen billion, thirty-six million, nine hundred eighty-four thousand, one hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 131 243 297 393 891 1179 1441 2673 3537 4323 10611 12969 31833 38907 40087 116721 120261 350163 360783 440957 1082349 1322871 3247047 3968613 5251397 9741141 11905839 15754191 35717517 47262573 57765367 107152551 141787719 173296101 425363157 519888303 1276089471 1559664909 4678994727 14036984181