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350212442401341 = 3213213129321792753
BaseRepresentation
bin100111110100001000011000…
…0001110011010101000111101
31200220222222112020222000101200
41033220100300032122220331
5331400340040223320331
63240501212555330113
7133524004540632612
oct11750206016325075
91626888466860350
10350212442401341
11a1652298797023
1233341626450939
1312054b78b47900
14626a5307c0509
152a74c68e505e6
hex13e843039aa3d

350212442401341 has 144 divisors (see below), whose sum is σ = 554288838143040. Its totient is φ = 212965060239360.

The previous prime is 350212442401321. The next prime is 350212442401373. The reversal of 350212442401341 is 143104244212053.

350212442401341 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 1 + 244 + 2 + 401 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 350212442401341 - 29 = 350212442400829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350212442401296 and 350212442401305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350212442401321) 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 143 ways as a sum of consecutive naturals, for example, 127211201821 + ... + 127211204573.

It is an arithmetic number, because the mean of its divisors is an integer number (3849228042660).

Almost surely, 2350212442401341 is an apocalyptic number.

It is an amenable number.

350212442401341 is a deficient number, since it is larger than the sum of its proper divisors (204076395741699).

350212442401341 is a wasteful number, since it uses less digits than its factorization.

350212442401341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 350212442401341 its reverse (143104244212053), we get a palindrome (493316686613394).

The spelling of 350212442401341 in words is "three hundred fifty trillion, two hundred twelve billion, four hundred forty-two million, four hundred one thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 131 169 293 393 507 879 1179 1521 1703 2179 2637 2753 3809 5109 6537 8259 11427 15327 19611 22139 24777 28327 34281 35789 38383 49517 66417 84981 107367 115149 148551 199251 254943 285449 322101 345447 360643 368251 445653 465257 498979 638447 806629 856347 1081929 1104753 1395771 1496937 1915341 2419887 2569041 3245787 3314259 3710837 4187313 4490811 4688359 5746023 5998787 6486727 7259661 8299811 10486177 11132511 14065077 17996361 19460181 24899433 31458531 33397533 42195231 48240881 53989083 58380543 60948667 74698299 77984231 83636557 94375593 105668399 107897543 136320301 144722643 182846001 233952693 250909671 317005197 323692629 408960903 434167929 548538003 701858079 752729013 785841097 951015591 971077887 1013795003 1087275241 1226882709 1373689187 1757644591 2357523291 3041385009 3261825723 4121067561 5272933773 7072569873 9124155027 9785477169 10215934261 12363202683 14134578133 15818801319 17857959431 22849379683 30647802783 42403734399 53573878293 68548139049 91943408349 127211203197 132807145393 160721634879 205644417147 230251441421 297041935879 398421436179 690754324263 891125807637 1195264308537 2072262972789 2673377422911 2993268738473 8979806215419 26939418646257 38912493600149 116737480800447 350212442401341