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4242040402424 = 23112291011496167
BaseRepresentation
bin111101101110101101010…
…011111011000111111000
3120000112110002102002212012
4331232231103323013320
51024000144320334144
613004433315505052
7615322500325046
oct75565523730770
916015402362765
104242040402424
111396048243400
125861768b8188
1324a03ab1c276
1410945c9a3396
157552a109e9e
hex3dbad4fb1f8

4242040402424 has 96 divisors (see below), whose sum is σ = 9133656789600. Its totient is φ = 1843276512000.

The previous prime is 4242040402399. The next prime is 4242040402487.

4242040402424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2087189 + ... + 3583355.

It is an arithmetic number, because the mean of its divisors is an integer number (95142258225).

Almost surely, 24242040402424 is an apocalyptic number.

4242040402424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242040402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566828394800).

4242040402424 is an abundant number, since it is smaller than the sum of its proper divisors (4891616387176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4242040402424 is a wasteful number, since it uses less digits than its factorization.

4242040402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496325 (or 1496310 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4242040 and 402424, that added together give a palindrome (4644464).

The spelling of 4242040402424 in words is "four trillion, two hundred forty-two billion, forty million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 121 202 232 242 319 404 484 638 808 968 1111 1276 2222 2552 2929 3509 4444 5858 7018 8888 11716 12221 14036 23432 24442 28072 32219 48884 64438 97768 128876 257752 354409 708818 1417636 1496167 2835272 2992334 5984668 11969336 16457837 32915674 43388843 65831348 86777686 131662696 151112867 173555372 181036207 302225734 347110744 362072414 477277273 604451468 724144828 954554546 1208902936 1448289656 1662241537 1909109092 3324483074 3818218184 4382273143 5250050003 6648966148 8764546286 10500100006 13297932296 17529092572 18284656907 21000200012 35058185144 36569313814 42000400024 48205004573 73138627628 96410009146 146277255256 192820018292 385640036584 530255050303 1060510100606 2121020201212 4242040402424