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1421186145687 = 3271123117334763
BaseRepresentation
bin10100101011100101010…
…010111001110110010111
312000212022220110111201100
4110223211102321312113
5141241042123130222
63004514531201143
7204451213630440
oct24534522716627
95025286414640
101421186145687
114a87a3590100
121ab5284461b3
13a402bc64c59
144cb002562c7
1526e7d0cb4ac
hex14ae54b9d97

1421186145687 has 144 divisors (see below), whose sum is σ = 2677404248064. Its totient is φ = 710312803200.

The previous prime is 1421186145683. The next prime is 1421186145703. The reversal of 1421186145687 is 7865416811241.

1421186145687 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 18 + 61 + 4 + 568 + 7 = 666.

It is not a de Polignac number, because 1421186145687 - 22 = 1421186145683 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421186145683) 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 143 ways as a sum of consecutive naturals, for example, 40864768 + ... + 40899530.

It is an arithmetic number, because the mean of its divisors is an integer number (18593085056).

Almost surely, 21421186145687 is an apocalyptic number.

1421186145687 is a deficient number, since it is larger than the sum of its proper divisors (1256218102377).

1421186145687 is a wasteful number, since it uses less digits than its factorization.

1421186145687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35002 (or 34988 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 1421186145687 in words is "one trillion, four hundred twenty-one billion, one hundred eighty-six million, one hundred forty-five thousand, six hundred eighty-seven".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 121 173 217 231 279 341 363 519 651 693 847 1023 1089 1211 1557 1903 1953 2387 2541 3069 3633 3751 5363 5709 7161 7623 10899 11253 13321 16089 17127 20933 21483 26257 33759 34763 37541 39963 48267 58993 62799 78771 104289 112623 119889 146531 176979 188397 236313 243341 312867 337869 382393 412951 439593 530937 648923 730023 1077653 1147179 1238853 1318779 1946769 2190069 2676751 3232959 3441537 3716559 4206323 4542461 5840307 6013999 7543571 8030253 9698877 11854183 12618969 13627383 18041997 22630713 24090759 29444261 35562549 37856907 40882149 42097993 54125991 66153989 67892139 82979281 88332783 106687647 126293979 130396013 186433969 198461967 248937843 264998349 378881937 391188039 463077923 559301907 595385901 727693879 746813529 912772091 1173564117 1305037783 1389233769 1677905721 2050773659 2183081637 2738316273 3915113349 4167701307 5093857153 6152320977 6549244911 8214948819 11745340047 14355415613 15281571459 18456962931 22558510249 43066246839 45844714377 67675530747 129198740517 157909571743 203026592241 473728715229 1421186145687