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13324404202434 = 2341364328433461
BaseRepresentation
bin1100000111100101010001…
…1000010001101111000010
31202011210121122020111020000
43001321110120101233002
53221301334433434214
644201051412300430
72543441105001213
oct301712430215702
952153548214200
1013324404202434
114277936895536
1215b2438011716
137586417666a0
14340c9433d40a
151818e957a809
hexc1e54611bc2

13324404202434 has 160 divisors (see below), whose sum is σ = 32223831925824. Its totient is φ = 4090818453120.

The previous prime is 13324404202429. The next prime is 13324404202469. The reversal of 13324404202434 is 43420240442331.

13324404202434 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 4 + 404 + 2 + 0 + 243 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3849869464 + ... + 3849872924.

Almost surely, 213324404202434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13324404202434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111915962912).

13324404202434 is an abundant number, since it is smaller than the sum of its proper divisors (18899427723390).

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

13324404202434 is a wasteful number, since it uses less digits than its factorization.

13324404202434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13324404202434 its reverse (43420240442331), we get a palindrome (56744644644765).

The spelling of 13324404202434 in words is "thirteen trillion, three hundred twenty-four billion, four hundred four million, two hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 643 702 1053 1286 1929 2106 2843 3461 3858 5686 5787 6922 8359 8529 10383 11574 16718 17058 17361 20766 25077 25587 31149 34722 36959 44993 50154 51174 52083 62298 73918 75231 76761 89986 93447 104166 110877 134979 150462 153522 186894 221754 225693 230283 269958 280341 332631 404937 451386 460566 560682 665262 677079 809874 997893 1214811 1354158 1828049 1995786 2225423 2429622 2993679 3644433 3656098 4450846 5484147 5987358 6676269 7288866 9839623 10968294 13352538 16452441 19679246 20028807 23764637 28930499 29518869 32904882 40057614 47529274 49357323 57860998 59037738 60086421 71293911 86791497 88556607 98714646 120172842 127915099 142587822 148071969 173582994 177113214 180259263 213881733 255830198 260374491 265669821 296143938 360518526 383745297 427763466 520748982 531339642 641645199 767490594 781123473 797009463 1151235891 1283290398 1562246946 1594018926 1924935597 2302471782 2343370419 3453707673 3849871194 4686740838 6326877589 6907415346 10361123019 12653755178 18980632767 20722246038 37961265534 56941898301 82249408657 113883796602 164498817314 170825694903 246748225971 341651389806 493496451942 512477084709 740244677913 1024954169418 1480489355826 2220734033739 4441468067478 6662202101217 13324404202434