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134401434554052 = 22324777778141641
BaseRepresentation
bin11110100011110011000101…
…110000111000111011000100
3122121212122121001122020220100
4132203303011300320323010
5120104013114221212202
61153503055555404100
740211116561135131
oct3643630560707304
9577778531566810
10134401434554052
1139908367a70956
12130a7a945b3630
1359cc001c784b3
1425290c8009588
151081152d6a41c
hex7a3cc5c38ec4

134401434554052 has 36 divisors (see below), whose sum is σ = 339744074804316. Its totient is φ = 44799539911680.

The previous prime is 134401434553999. The next prime is 134401434554077. The reversal of 134401434554052 is 250455434104431.

134401434554052 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 1 + 43 + 4 + 554 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30387259351296 + 104014175202756 = 5512464^2 + 10198734^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1344014345540522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134401434553989 and 134401434554007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37350849 + ... + 40790792.

It is an arithmetic number, because the mean of its divisors is an integer number (9437335411231).

Almost surely, 2134401434554052 is an apocalyptic number.

134401434554052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134401434554052 is an abundant number, since it is smaller than the sum of its proper divisors (205342640250264).

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

134401434554052 is a wasteful number, since it uses less digits than its factorization.

134401434554052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78189428 (or 78189423 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 134401434554052 its reverse (250455434104431), we get a palindrome (384856868658483).

The spelling of 134401434554052 in words is "one hundred thirty-four trillion, four hundred one billion, four hundred thirty-four million, five hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47777 95554 143331 191108 286662 429993 573324 859986 1719972 78141641 156283282 234424923 312566564 468849846 703274769 937699692 1406549538 2813099076 3733373182057 7466746364114 11200119546171 14933492728228 22400239092342 33600358638513 44800478184684 67200717277026 134401434554052