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355443520013142 = 231141478931401829
BaseRepresentation
bin101000011010001100010010…
…0101111111000001101010110
31201121112001212001101002011120
41100310120210233320031112
5333042041312110410032
63255544255431144410
7134603642530660221
oct12064304457701526
91647461761332146
10355443520013142
11a3289828721480
1233a47403815106
1312344245935642
1463ab7b58445b8
152b15d7d13262c
hex1434624bf8356

355443520013142 has 128 divisors (see below), whose sum is σ = 820446917068800. Its totient is φ = 101691679795200.

The previous prime is 355443520013111. The next prime is 355443520013251. The reversal of 355443520013142 is 241310025344553.

It is a junction number, because it is equal to n+sod(n) for n = 355443520013094 and 355443520013103.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4381717 + ... + 27020112.

It is an arithmetic number, because the mean of its divisors is an integer number (6409741539600).

Almost surely, 2355443520013142 is an apocalyptic number.

355443520013142 is an abundant number, since it is smaller than the sum of its proper divisors (465003397055658).

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

355443520013142 is a wasteful number, since it uses less digits than its factorization.

355443520013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31402022.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 355443520013142 its reverse (241310025344553), we get a palindrome (596753545357695).

The spelling of 355443520013142 in words is "three hundred fifty-five trillion, four hundred forty-three billion, five hundred twenty million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 89 94 123 141 178 246 267 282 451 517 534 902 979 1034 1353 1551 1927 1958 2706 2937 3102 3649 3854 4183 5781 5874 7298 8366 10947 11562 12549 21197 21894 25098 40139 42394 46013 63591 80278 92026 120417 127182 138039 171503 240834 276078 343006 514509 1029018 1886533 3773066 5659599 11319198 31401829 62803658 94205487 188410974 345420119 690840238 1036260357 1287474989 1475885963 2072520714 2574949978 2794762781 2951771926 3862424967 4427657889 5589525562 7724849934 8384288343 8855315778 14162224879 16234745593 16768576686 28324449758 30742390591 32469491186 42486674637 48704236779 60511324483 61484781182 84973349274 92227171773 97408473558 114585274021 121022648966 131353850707 181533973449 184454343546 229170548042 262707701414 343755822063 363067946898 394061552121 665624569313 687511644126 788123104242 1260438014231 1331249138626 1444892357777 1996873707939 2520876028462 2889784715554 3781314042693 3993747415878 4334677073331 5385507878987 7562628085386 8669354146662 10771015757974 16156523636961 32313047273922 59240586668857 118481173337714 177721760006571 355443520013142