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124434434421 = 321117196163793
BaseRepresentation
bin111001111100011011…
…1101100100101110101
3102220012001100012221100
41303320313230211311
54014320203400141
6133055301440313
711663413145433
oct1637067544565
9386161305840
10124434434421
1148854aa3360
1220148a10099
13b970b1586b
146046265d53
1533844420b6
hex1cf8dec975

124434434421 has 96 divisors (see below), whose sum is σ = 222125604480. Its totient is φ = 66139545600.

The previous prime is 124434434419. The next prime is 124434434429.

124434434421 is a `hidden beast` number, since 1 + 244 + 344 + 34 + 42 + 1 = 666.

124434434421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 124434434421 - 21 = 124434434419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124434434429) 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 95 ways as a sum of consecutive naturals, for example, 1918701 + ... + 1982493.

It is an arithmetic number, because the mean of its divisors is an integer number (2313808380).

Almost surely, 2124434434421 is an apocalyptic number.

124434434421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124434434421 is a deficient number, since it is larger than the sum of its proper divisors (97691170059).

124434434421 is a wasteful number, since it uses less digits than its factorization.

124434434421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63907 (or 63904 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 124434 and 434421, that added together give a palindrome (558855).

The spelling of 124434434421 in words is "one hundred twenty-four billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 11 17 19 33 51 57 61 99 153 171 183 187 209 323 549 561 627 671 969 1037 1159 1683 1881 2013 2907 3111 3477 3553 6039 9333 10431 10659 11407 12749 19703 31977 34221 38247 59109 63793 102663 114741 177327 191379 216733 574137 650199 701723 1084481 1212067 1950597 2105169 3253443 3636201 3891373 6315507 9760329 10908603 11674119 11929291 13332737 20605139 35022357 35787873 39998211 42805103 61815417 66153341 73936087 107363619 119994633 128415309 185446251 198460023 221808261 226656529 385245927 595380069 665424783 679969587 727686751 813296957 1256913479 2039908761 2183060253 2439890871 3770740437 6549180759 7319672613 11312221311 13826048269 41478144807 124434434421