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42130547712 = 21033111923317
BaseRepresentation
bin100111001111001011…
…010010010000000000
311000202011001120112000
4213033023102100000
51142240410011322
631204323504000
73021014514111
oct471713222000
9130664046460
1042130547712
111695a661080
1281b9528000
133c855a7796
14207952a208
151168a853ac
hex9cf2d2400

42130547712 has 704 divisors, whose sum is σ = 149977958400. Its totient is φ = 11532533760.

The previous prime is 42130547681. The next prime is 42130547777. The reversal of 42130547712 is 21774503124.

42130547712 is a `hidden beast` number, since 42 + 1 + 3 + 0 + 547 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132903778 + ... + 132904094.

Almost surely, 242130547712 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 42130547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74988979200).

42130547712 is an abundant number, since it is smaller than the sum of its proper divisors (107847410688).

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

42130547712 is a wasteful number, since it uses less digits than its factorization.

42130547712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 42130547712 in words is "forty-two billion, one hundred thirty million, five hundred forty-seven thousand, seven hundred twelve".