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2533234405140 = 2232514073524473
BaseRepresentation
bin100100110111010000100…
…010010110111100010100
322222011201110110021022200
4210313100202112330110
5313001031001431030
65215430220524500
7351006624110025
oct44672042267424
98864643407280
102533234405140
1189737a86480a
1234ab5b0b0730
13154b62ba0b1a
148a875900c4c
1545d66681d60
hex24dd0896f14

2533234405140 has 36 divisors (see below), whose sum is σ = 7684144362804. Its totient is φ = 675529174656.

The previous prime is 2533234405127. The next prime is 2533234405151. The reversal of 2533234405140 is 415044323352.

2533234405140 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 234 + 405 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411440142096 + 2121794263044 = 641436^2 + 1456638^2 .

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 = 2533234405095 and 2533234405104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7036762057 + ... + 7036762416.

Almost surely, 22533234405140 is an apocalyptic number.

2533234405140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2533234405140 is an abundant number, since it is smaller than the sum of its proper divisors (5150909957664).

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

2533234405140 is a wasteful number, since it uses less digits than its factorization.

2533234405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073524488 (or 14073524483 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 2533234405140 its reverse (415044323352), we get a palindrome (2948278728492).

The spelling of 2533234405140 in words is "two trillion, five hundred thirty-three billion, two hundred thirty-four million, four hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14073524473 28147048946 42220573419 56294097892 70367622365 84441146838 126661720257 140735244730 168882293676 211102867095 253323440514 281470489460 422205734190 506646881028 633308601285 844411468380 1266617202570 2533234405140