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124234121432421 = 327112133733882067
BaseRepresentation
bin11100001111110110000010…
…101011010100110101100101
3121021212122222112020210011100
4130033312002223110311211
5112240422440041314141
61120120211213430313
735111422225425150
oct3417660253246545
9537778875223140
10124234121432421
1136648438854200
1211b254a3a9b399
1354422c5736c70
142296d6c01cc97
15e5693441e0b6
hex70fd82ad4d65

124234121432421 has 144 divisors (see below), whose sum is σ = 249325398754432. Its totient is φ = 57962727947520.

The previous prime is 124234121432363. The next prime is 124234121432497.

124234121432421 is a `hidden beast` number, since 1 + 2 + 42 + 34 + 121 + 43 + 2 + 421 = 666.

124234121432421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 124234121432421 - 213 = 124234121424229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124234121432921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13274371 + ... + 20607696.

Almost surely, 2124234121432421 is an apocalyptic number.

124234121432421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124234121432421 is an abundant number, since it is smaller than the sum of its proper divisors (125091277322011).

124234121432421 is a wasteful number, since it uses less digits than its factorization.

124234121432421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33882152 (or 33882138 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 124234121432421 in words is "one hundred twenty-four trillion, two hundred thirty-four billion, one hundred twenty-one million, four hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 121 143 231 259 273 333 363 407 429 481 693 777 819 847 1001 1089 1221 1287 1443 1573 2331 2541 2849 3003 3367 3663 4329 4477 4719 5291 7623 8547 9009 10101 11011 13431 14157 15873 25641 30303 31339 33033 37037 40293 47619 58201 94017 99099 111111 174603 282051 333333 407407 523809 1222221 3666663 33882067 101646201 237174469 304938603 372702737 440466871 711523407 1118108211 1253636479 1321400613 2134570221 2608919159 3083268097 3354324633 3760909437 3964201839 4099730107 4845135581 7826757477 8775455353 9249804291 11282728311 12299190321 13790001269 14535406743 16297274227 23480272431 26326366059 27749412873 28698110749 33915949067 36897570963 41370003807 43606220229 48891822681 53296491391 78979098177 86094332247 96530008883 101747847201 114080919589 124110011421 146675468043 151690013959 159889474173 179270016497 258282996741 289590026649 305243541603 342242758767 373075439737 455070041877 479668422519 537810049491 868770079947 1026728276301 1061830097713 1119226319211 1254890115479 1365210125631 1613430148473 1971970181467 3185490293139 3357678957633 3764670346437 5915910544401 9556470879417 11294011039311 13803791270269 17747731633203 41411373810807 124234121432421