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355413144020121 = 35111491667535319
BaseRepresentation
bin101000011001111110001001…
…0001100101010010010011001
31201121102011110002120202100000
41100303330102030222102121
5333041042104332120441
63255522313324203213
7134601516014204625
oct12063742214522231
91647364402522300
10355413144020121
11a327796021a310
1233a41546999509
13123414146b6185
1463aa1334c4185
152b151a14d82b6
hex1433f1232a499

355413144020121 has 96 divisors (see below), whose sum is σ = 585037095552000. Its totient is φ = 213827507570880.

The previous prime is 355413144020119. The next prime is 355413144020153. The reversal of 355413144020121 is 121020441314553.

355413144020121 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 1 + 3 + 1 + 440 + 201 + 2 + 1 = 666.

It is not a de Polignac number, because 355413144020121 - 21 = 355413144020119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (355413144020171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663660100 + ... + 664195418.

It is an arithmetic number, because the mean of its divisors is an integer number (6094136412000).

Almost surely, 2355413144020121 is an apocalyptic number.

It is an amenable number.

355413144020121 is a deficient number, since it is larger than the sum of its proper divisors (229623951531879).

355413144020121 is a wasteful number, since it uses less digits than its factorization.

355413144020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537161 (or 537149 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 355413144020121 its reverse (121020441314553), we get a palindrome (476433585334674).

The spelling of 355413144020121 in words is "three hundred fifty-five trillion, four hundred thirteen billion, one hundred forty-four million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 149 243 297 447 891 1341 1639 1667 2673 4023 4917 5001 12069 14751 15003 18337 36207 44253 45009 55011 132759 135027 165033 248383 398277 405081 495099 535319 745149 1485297 1605957 2235447 2732213 4455891 4817871 5888509 6706341 8196639 14453613 17665527 20119023 24589917 43360839 52996581 60357069 73769751 79762531 130082517 158989743 221309253 239287593 476969229 663927759 717862779 877387841 892376773 1430907687 2153588337 2632163523 2677130319 6460765011 7896490569 8031390957 9816144503 19382295033 23689471707 24094172871 29448433509 71068415121 72282518613 88345300527 132964139177 213205245363 216847555839 265035901581 398892417531 795107704743 1196677252593 1462605530947 2385323114229 3590031757779 4387816592841 10770095273337 13163449778523 32310285820011 39490349335569 118471048006707 355413144020121