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12433046232145 = 57115359101102251
BaseRepresentation
bin1011010011101100101101…
…0011011101110001010001
31122000120212100222000002011
42310323023103131301101
53112200334313412040
642235355041422521
72422154322160450
oct264731323356121
948016770860064
1012433046232145
113a63909518560
12148973603aa41
136c257b543936
1430da969c8b97
1516862aaba3ea
hexb4ecb4ddc51

12433046232145 has 128 divisors (see below), whose sum is σ = 19464330792960. Its totient is φ = 7401264000000.

The previous prime is 12433046232133. The next prime is 12433046232151. The reversal of 12433046232145 is 54123264033421.

It is not a de Polignac number, because 12433046232145 - 29 = 12433046231633 is a prime.

It is a super-2 number, since 2×124330462321452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12433046232098 and 12433046232107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121542270 + ... + 121644520.

It is an arithmetic number, because the mean of its divisors is an integer number (152065084320).

Almost surely, 212433046232145 is an apocalyptic number.

It is an amenable number.

12433046232145 is a deficient number, since it is larger than the sum of its proper divisors (7031284560815).

12433046232145 is a wasteful number, since it uses less digits than its factorization.

12433046232145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102487.

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 12433046232145 in words is "twelve trillion, four hundred thirty-three billion, forty-six million, two hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 53 55 59 77 101 265 295 371 385 413 505 583 649 707 1111 1855 2065 2915 3127 3245 3535 4081 4543 5353 5555 5959 7777 15635 20405 21889 22715 26765 29795 34397 37471 38885 41713 58883 65549 102251 109445 171985 187355 208565 240779 294415 315827 327745 412181 458843 511255 715757 1124761 1203895 1579135 2060905 2210789 2294215 3474097 3578785 5419303 5623805 6032809 7873327 10327351 11053945 17370485 24318679 27096515 30164045 37935121 39366635 42229663 51636755 59612333 66360899 72291457 113600861 121593395 189675605 211148315 298061665 319738877 331804495 361457285 417286331 464526293 547349603 568004305 609313709 795206027 1598694385 2086431655 2238172139 2322631465 2736748015 3046568545 3517127647 3831447221 3976030135 4265195963 6020845633 6702450799 11190860695 17585638235 19157236105 21325979815 24619893529 30104228165 32293626577 33512253995 42145919431 46917155593 123099467645 161468132885 210729597155 226055386039 234585777965 355229892347 1130276930195 1776149461735 2486609246429 12433046232145