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5734123088040 = 233251722310212347
BaseRepresentation
bin101001101110001010001…
…0111101010100010101000
3202022011202220020000000200
41103130110113222202220
51222421441002304130
620110115250032200
71131163626023304
oct123342427524250
922264686200020
105734123088040
111910911aa4266
1278738a278660
13327957b83359
1415b76692ad04
159e25738d760
hex537145ea8a8

5734123088040 has 576 divisors, whose sum is σ = 20686378527360. Its totient is φ = 1374646394880.

The previous prime is 5734123087999. The next prime is 5734123088041. The reversal of 5734123088040 is 408803214375.

5734123088040 is a `hidden beast` number, since 573 + 4 + 1 + 2 + 30 + 8 + 8 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5734123088041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2443170147 + ... + 2443172493.

It is an arithmetic number, because the mean of its divisors is an integer number (35913851610).

Almost surely, 25734123088040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5734123088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343189263680).

5734123088040 is an abundant number, since it is smaller than the sum of its proper divisors (14952255439320).

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

5734123088040 is a wasteful number, since it uses less digits than its factorization.

5734123088040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5734123088040 in words is "five trillion, seven hundred thirty-four billion, one hundred twenty-three million, eighty-eight thousand, forty".