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424134111753 = 3211219412631901
BaseRepresentation
bin1100010110000000101…
…11001111001000001001
31111112202122011021102200
412023000113033020021
523422111313034003
6522502225550413
742433303315602
oct6130027171011
91445678137380
10424134111753
11153968715800
126a2497a5409
1330cc3662841
141675754cda9
15b07557b6a3
hex62c05cf209

424134111753 has 144 divisors (see below), whose sum is σ = 729270622080. Its totient is φ = 236554560000.

The previous prime is 424134111697. The next prime is 424134111799. The reversal of 424134111753 is 357111431424.

424134111753 is a `hidden beast` number, since 4 + 241 + 341 + 1 + 1 + 75 + 3 = 666.

It is not a de Polignac number, because 424134111753 - 217 = 424133980681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424134111353) 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, 223110103 + ... + 223112003.

It is an arithmetic number, because the mean of its divisors is an integer number (5064379320).

Almost surely, 2424134111753 is an apocalyptic number.

It is an amenable number.

424134111753 is a deficient number, since it is larger than the sum of its proper divisors (305136510327).

424134111753 is a wasteful number, since it uses less digits than its factorization.

424134111753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2238 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 424134111753 in words is "four hundred twenty-four billion, one hundred thirty-four million, one hundred eleven thousand, seven hundred fifty-three".

Divisors: 1 3 9 11 19 33 41 57 99 121 123 171 209 263 363 369 451 627 779 789 1089 1353 1881 1901 2299 2337 2367 2893 4059 4961 4997 5703 6897 7011 8569 8679 10783 14883 14991 17109 20691 20911 25707 26037 31823 32349 36119 44649 44973 54967 62733 77121 77941 94259 95469 97047 108357 118613 164901 188199 204877 230021 233823 282777 286407 325071 355839 397309 494703 499963 604637 614631 690063 701469 848331 857351 1067517 1191927 1304743 1480879 1499889 1813911 1843893 2070189 2253647 2572053 3575781 3914229 4370399 4442637 4499667 5441733 5499593 6760941 7716159 9430861 9499297 11742687 13111197 13327911 16289669 16498779 20282823 20498483 24790117 28292583 28497891 39333591 48869007 49496337 60495523 61495449 74370351 84877749 85493673 104492267 146607021 179186359 181486569 184486347 223111053 225483313 313476801 389471177 537559077 544459707 676449939 940430403 1149414937 1168413531 1612677231 2029349817 2480316443 3448244811 3505240593 4284182947 7440949329 10344734433 12852548841 22322847987 38557646523 47126012417 141378037251 424134111753