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353204421345 = 335295316710193
BaseRepresentation
bin1010010001111001001…
…11111100001011100001
31020202200102102200002000
411020330213330023201
521241330312440340
6430132044314213
734342510021356
oct5107447741341
91222612380060
10353204421345
1112687a762556
1258553542969
13273cb727729
141314928c62d
1592c3526d30
hex523c9fc2e1

353204421345 has 128 divisors (see below), whose sum is σ = 665855769600. Its totient is φ = 177362325504.

The previous prime is 353204421343. The next prime is 353204421359. The reversal of 353204421345 is 543124402353.

Adding to 353204421345 its reverse (543124402353), we get a palindrome (896328823698).

It is not a de Polignac number, because 353204421345 - 21 = 353204421343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353204421343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34646569 + ... + 34656761.

It is an arithmetic number, because the mean of its divisors is an integer number (5201998200).

Almost surely, 2353204421345 is an apocalyptic number.

It is an amenable number.

353204421345 is a deficient number, since it is larger than the sum of its proper divisors (312651348255).

353204421345 is a wasteful number, since it uses less digits than its factorization.

353204421345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 353204421345 in words is "three hundred fifty-three billion, two hundred four million, four hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 53 87 135 145 159 167 261 265 435 477 501 783 795 835 1305 1431 1503 1537 2385 2505 3915 4509 4611 4843 7155 7515 7685 8851 10193 13833 14529 22545 23055 24215 26553 30579 41499 43587 44255 50965 69165 72645 79659 91737 130761 132765 152895 207495 217935 238977 256679 275211 295597 398295 458685 540229 653805 770037 886791 1194885 1283395 1376055 1477985 1620687 1702231 2310111 2660373 2701145 3850185 4433955 4862061 5106693 6930333 7981119 8103435 8511155 11550555 13301865 14586183 15320079 15666641 24310305 25533465 34651665 39905595 45960237 46999923 49364699 72930915 76600395 78333205 90218243 140999769 148094097 229801185 234999615 246823495 270654729 422999307 444282291 451091215 704998845 740470485 811964187 1332846873 1353273645 2114996535 2221411455 2435892561 2616329047 4059820935 6664234365 7848987141 12179462805 13081645235 23546961423 39244935705 70640884269 117734807115 353204421345