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134140143441240 = 233254142732126863
BaseRepresentation
bin11110011111111111101111…
…100110011001010101011000
3122120221200011020022102211200
4132133333233212121111120
5120040223003210104430
61153143044200154200
740153206542256126
oct3637775746312530
9576850136272750
10134140143441240
1139817573a45512
1213065312768960
1359b0490886381
14251a5bbbc8916
15107945db5b460
hex79ffef999558

134140143441240 has 192 divisors, whose sum is σ = 446693250407040. Its totient is φ = 34890065141760.

The previous prime is 134140143441233. The next prime is 134140143441287. The reversal of 134140143441240 is 42144341041431.

134140143441240 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 401 + 4 + 3 + 4 + 4 + 1 + 240 = 666.

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 = 134140143441195 and 134140143441204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62006049 + ... + 64132911.

It is an arithmetic number, because the mean of its divisors is an integer number (2326527345870).

Almost surely, 2134140143441240 is an apocalyptic number.

134140143441240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134140143441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223346625203520).

134140143441240 is an abundant number, since it is smaller than the sum of its proper divisors (312553106965800).

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

134140143441240 is a wasteful number, since it uses less digits than its factorization.

134140143441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131194 (or 2131187 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 134140143441240 its reverse (42144341041431), we get a palindrome (176284484482671).

The spelling of 134140143441240 in words is "one hundred thirty-four trillion, one hundred forty billion, one hundred forty-three million, four hundred forty-one thousand, two hundred forty".