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342042575056 = 24713709331339
BaseRepresentation
bin1001111101000110101…
…00111000000011010000
31012200212112110010110121
410332203110320003100
521101000344400211
6421044315240024
733466063626430
oct4764324700320
91180775403417
10342042575056
111220721311a6
1256359449014
1326340114160
14127aaacc2c0
158d6d668271
hex4fa35380d0

342042575056 has 80 divisors (see below), whose sum is σ = 816792860800. Its totient is φ = 135122287104.

The previous prime is 342042575053. The next prime is 342042575099. The reversal of 342042575056 is 650575240243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342042575051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866635 + ... + 1197973.

It is an arithmetic number, because the mean of its divisors is an integer number (10209910760).

Almost surely, 2342042575056 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 342042575056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408396430400).

342042575056 is an abundant number, since it is smaller than the sum of its proper divisors (474750285744).

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

342042575056 is a wasteful number, since it uses less digits than its factorization.

342042575056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332076 (or 332070 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 43.

The spelling of 342042575056 in words is "three hundred forty-two billion, forty-two million, five hundred seventy-five thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 709 728 1418 1456 2836 4963 5672 9217 9926 11344 18434 19852 36868 39704 64519 73736 79408 129038 147472 258076 331339 516152 662678 1032304 1325356 2319373 2650712 4307407 4638746 5301424 8614814 9277492 17229628 18554984 30151849 34459256 37109968 60303698 68918512 120607396 234919351 241214792 469838702 482429584 939677404 1644435457 1879354808 3053951563 3288870914 3758709616 6107903126 6577741828 12215806252 13155483656 21377660941 24431612504 26310967312 42755321882 48863225008 85510643764 171021287528 342042575056