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340101505242 = 233113206327017
BaseRepresentation
bin1001111001011111010…
…00010010000011011010
31012111212020222120021000
410330233220102003122
521033011441131432
6420123535325430
733400014044652
oct4745750220332
91174766876230
10340101505242
11121266484774
1255ab7380876
13260c0c30b35
1412664db3362
158ca804657c
hex4f2fa120da

340101505242 has 64 divisors (see below), whose sum is σ = 762867279360. Its totient is φ = 112305295872.

The previous prime is 340101505193. The next prime is 340101505259. The reversal of 340101505242 is 242505101043.

340101505242 is a `hidden beast` number, since 3 + 401 + 0 + 15 + 0 + 5 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12574918 + ... + 12601934.

It is an arithmetic number, because the mean of its divisors is an integer number (11919801240).

Almost surely, 2340101505242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340101505242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381433639680).

340101505242 is an abundant number, since it is smaller than the sum of its proper divisors (422765774118).

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

340101505242 is a wasteful number, since it uses less digits than its factorization.

340101505242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29204 (or 29198 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 340101505242 its reverse (242505101043), we get a palindrome (582606606285).

The spelling of 340101505242 in words is "three hundred forty billion, one hundred one million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 2063 3051 4126 6102 6189 12378 18567 27017 37134 54034 55701 81051 111402 162102 233119 243153 466238 486306 699357 729459 1398714 1458918 2098071 3052921 4196142 6105842 6294213 9158763 12588426 18317526 27476289 54952578 55736071 82428867 111472142 164857734 167208213 334416426 501624639 1003249278 1504873917 3009747834 6298176023 12596352046 18894528069 37789056138 56683584207 113367168414 170050752621 340101505242