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42423412301 = 2331792772719
BaseRepresentation
bin100111100000101000…
…011110011001001101
311001111120010122012122
4213200220132121031
51143340343143201
631253344542325
73031202024534
oct474050363115
9131446118178
1042423412301
1116a9aa01626
12827b6219a5
13400117783a
1420a63a331b
151184634e1b
hex9e0a1e64d

42423412301 has 32 divisors (see below), whose sum is σ = 46458470400. Its totient is φ = 38618648640.

The previous prime is 42423412231. The next prime is 42423412327. The reversal of 42423412301 is 10321432424.

It is a de Polignac number, because none of the positive numbers 2k-42423412301 is a prime.

It is a super-3 number, since 3×424234123013 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423412351) 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 31 ways as a sum of consecutive naturals, for example, 15601220 + ... + 15603938.

It is an arithmetic number, because the mean of its divisors is an integer number (1451827200).

Almost surely, 242423412301 is an apocalyptic number.

It is an amenable number.

42423412301 is a deficient number, since it is larger than the sum of its proper divisors (4035058099).

42423412301 is a wasteful number, since it uses less digits than its factorization.

42423412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42423412301 its reverse (10321432424), we get a palindrome (52744844725).

The spelling of 42423412301 in words is "forty-two billion, four hundred twenty-three million, four hundred twelve thousand, three hundred one".

Divisors: 1 23 31 79 277 713 1817 2449 2719 6371 8587 21883 56327 62537 84289 197501 214801 503309 678373 753163 1938647 4940423 6658831 15602579 17322749 23348053 59499877 153153113 537005219 1368497171 1844496187 42423412301