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13333434043140 = 2232574074633573
BaseRepresentation
bin1100001000000110111010…
…0110011000101100000100
31202012122220221110220222200
43002001232212120230010
53221423333103340030
644205143421154500
72544210632245341
oct302015646305404
952178827426880
1013333434043140
11428074aa08502
1215b41380bba30
137594504642b3
143414ad6c17c8
15181c7719dd60
hexc206e998b04

13333434043140 has 36 divisors (see below), whose sum is σ = 40444749931404. Its totient is φ = 3555582411456.

The previous prime is 13333434043123. The next prime is 13333434043141. The reversal of 13333434043140 is 4134043433331.

13333434043140 is a `hidden beast` number, since 1 + 3 + 3 + 334 + 3 + 4 + 0 + 4 + 314 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8623431618624 + 4710002424516 = 2936568^2 + 2170254^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13333434043095 and 13333434043104.

It is not an unprimeable number, because it can be changed into a prime (13333434043141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37037316607 + ... + 37037316966.

Almost surely, 213333434043140 is an apocalyptic number.

13333434043140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13333434043140 is an abundant number, since it is smaller than the sum of its proper divisors (27111315888264).

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

13333434043140 is a wasteful number, since it uses less digits than its factorization.

13333434043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74074633588 (or 74074633583 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 13333434043140 its reverse (4134043433331), we get a palindrome (17467477476471).

The spelling of 13333434043140 in words is "thirteen trillion, three hundred thirty-three billion, four hundred thirty-four million, forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74074633573 148149267146 222223900719 296298534292 370373167865 444447801438 666671702157 740746335730 888895602876 1111119503595 1333343404314 1481492671460 2222239007190 2666686808628 3333358510785 4444478014380 6666717021570 13333434043140