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142062171328 = 26711313741613
BaseRepresentation
bin1000010001001110010…
…0001011010011000000
3111120200120001001000001
42010103210023103000
54311420403440303
6145132405205344
713156301350420
oct2042344132300
9446616031001
10142062171328
1155280434a70
1223648400854
131051cb9670c
146c3946c480
153a66cb531d
hex211390b4c0

142062171328 has 448 divisors, whose sum is σ = 382319271936. Its totient is φ = 50761728000.

The previous prime is 142062171323. The next prime is 142062171337. The reversal of 142062171328 is 823171260241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (142062171323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231748750 + ... + 231749362.

It is an arithmetic number, because the mean of its divisors is an integer number (853391232).

Almost surely, 2142062171328 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 142062171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191159635968).

142062171328 is an abundant number, since it is smaller than the sum of its proper divisors (240257100608).

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

142062171328 is a wasteful number, since it uses less digits than its factorization.

142062171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 142062171328 in words is "one hundred forty-two billion, sixty-two million, one hundred seventy-one thousand, three hundred twenty-eight".