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342143253156105 = 34517193770688491
BaseRepresentation
bin100110111001011010110111…
…1000100010001000100001001
31122212102120112120210210010000
41031302311233010101010021
5324321133340301443410
63211402235101513213
7132032014524012252
oct11562655704210411
91585376476723100
10342143253156105
119a021158828885
12324597a3272809
13118bac7ca8626b
14606bb71093b29
152984de7b77dc0
hex1372d6f111109

342143253156105 has 160 divisors (see below), whose sum is σ = 702055482226560. Its totient is φ = 158306025093120.

The previous prime is 342143253156073. The next prime is 342143253156113. The reversal of 342143253156105 is 501651352341243.

342143253156105 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 3 + 2 + 531 + 5 + 6 + 105 = 666.

It is not a de Polignac number, because 342143253156105 - 25 = 342143253156073 is a prime.

It is a super-3 number, since 3×3421432531561053 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30504091 + ... + 40184400.

It is an arithmetic number, because the mean of its divisors is an integer number (4387846763916).

Almost surely, 2342143253156105 is an apocalyptic number.

It is an amenable number.

342143253156105 is an abundant number, since it is smaller than the sum of its proper divisors (359912229070455).

342143253156105 is a wasteful number, since it uses less digits than its factorization.

342143253156105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70688581 (or 70688572 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 342143253156105 in words is "three hundred forty-two trillion, one hundred forty-three billion, two hundred fifty-three million, one hundred fifty-six thousand, one hundred five".

Divisors: 1 3 5 9 15 17 19 27 37 45 51 57 81 85 95 111 135 153 171 185 255 285 323 333 405 459 513 555 629 703 765 855 969 999 1377 1539 1615 1665 1887 2109 2295 2565 2907 2997 3145 3515 4845 4995 5661 6327 6885 7695 8721 9435 10545 11951 14535 14985 16983 18981 26163 28305 31635 35853 43605 50949 56943 59755 84915 94905 107559 130815 179265 254745 284715 322677 537795 968031 1613385 4840155 70688491 212065473 353442455 636196419 1060327365 1201704347 1343081329 1908589257 2615474167 3180982095 3605113041 4029243987 5725767771 6008521735 6715406645 7846422501 9542946285 10815339123 12087731961 13077370835 18025565205 20146219935 22832382593 23539267503 28628838855 32446017369 36263195883 39232112505 44463060839 49694009173 54076695615 60438659805 68497147779 70617802509 97338052107 108789587649 114161912965 117696337515 133389182517 149082027519 162230086845 181315979415 205491443337 211853407527 222315304195 248470045865 342485738895 353089012545 400167547551 447246082557 486690260535 543947938245 616474330011 666945912585 745410137595 844798155941 1027457216685 1059267037635 1200502642653 1341738247671 1849422990033 2000837737755 2236230412785 2534394467823 3082371650055 3601507927959 4025214743013 4223990779705 6002513213265 6708691238355 7603183403469 9247114950165 12671972339115 18007539639795 20126073715065 22809550210407 38015917017345 68428650631221 114047751052035 342143253156105