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141137716489 = 74112172412
BaseRepresentation
bin1000001101110001110…
…1101010010100001001
3111111022010111212100221
42003130131222110021
54303022223411424
6144500543030041
713124344540000
oct2033435522411
9444263455327
10141137716489
115494661a400
122342a89b321
13104034ba013
146b8c787c37
153a10a579e4
hex20dc76a509

141137716489 has 135 divisors (see below), whose sum is σ = 197055428213. Its totient is φ = 100983590400.

The previous prime is 141137716487. The next prime is 141137716541. The reversal of 141137716489 is 984617731141.

The square root of 141137716489 is 375683.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9943081225 + 131194635264 = 99715^2 + 362208^2 .

It is not a de Polignac number, because 141137716489 - 21 = 141137716487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141137716487) 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 134 ways as a sum of consecutive naturals, for example, 3442383309 + ... + 3442383349.

Almost surely, 2141137716489 is an apocalyptic number.

141137716489 is the 375683-rd square number.

141137716489 is the 187842-nd centered octagonal number.

It is an amenable number.

141137716489 is a deficient number, since it is larger than the sum of its proper divisors (55917711724).

141137716489 is an frugal number, since it uses more digits than its factorization.

141137716489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 76 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The spelling of 141137716489 in words is "one hundred forty-one billion, one hundred thirty-seven million, seven hundred sixteen thousand, four hundred eighty-nine".

Divisors: 1 7 11 17 41 49 77 119 121 187 287 289 343 451 539 697 833 847 1309 1681 2009 2023 2057 2401 3157 3179 3773 4879 4961 5831 5929 7667 9163 11767 11849 14063 14161 14399 18491 22099 22253 26411 28577 34153 34727 34969 40817 41503 53669 64141 82369 82943 84337 98441 99127 100793 129437 130339 154693 155771 200039 203401 239071 243089 244783 290521 314347 375683 448987 485809 576583 580601 590359 693889 705551 906059 912373 1082851 1090397 1400273 1423807 1433729 1673497 1701623 1713481 2200429 2629781 3400663 3457817 4036081 4064207 4132513 4938857 5343899 6342413 6386611 7632779 9801911 9966649 10036103 11911361 11994367 15403003 18408467 23804641 24204719 28449449 28927591 37407293 44396891 44706277 58782889 68613377 69766543 70252721 83960569 107821021 166632487 169433033 202493137 261851051 312943939 411480223 488365801 491769047 754747147 1166427409 1186031231 1832957357 2880361561 3442383329 8302218617 12830701499 20162530927 141137716489