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42555123132000 = 253533546260261
BaseRepresentation
bin10011010110100001000101…
…11111110110011001100000
312120200020012200212211001120
421223100202333312121200
521034210343010211000
6230301315332332240
711651335423236003
oct1153204277663140
9176606180784046
1042555123132000
1112617587664296
124933574774080
131a98c1422a86b
14a7197107353a
154dbe52d4c6a0
hex26b422ff6660

42555123132000 has 96 divisors (see below), whose sum is σ = 139410583419744. Its totient is φ = 11348032832000.

The previous prime is 42555123131947. The next prime is 42555123132007. The reversal of 42555123132000 is 23132155524.

42555123132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555123132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773118131 + ... + 1773142130.

It is an arithmetic number, because the mean of its divisors is an integer number (1452193577289).

Almost surely, 242555123132000 is an apocalyptic number.

42555123132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42555123132000 is an abundant number, since it is smaller than the sum of its proper divisors (96855460287744).

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

42555123132000 is a wasteful number, since it uses less digits than its factorization.

42555123132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546260289 (or 3546260271 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 42555123132000 its reverse (23132155524), we get a palindrome (42578255287524).

The spelling of 42555123132000 in words is "forty-two trillion, five hundred fifty-five billion, one hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3546260261 7092520522 10638780783 14185041044 17731301305 21277561566 28370082088 35462602610 42555123132 53193903915 56740164176 70925205220 85110246264 88656506525 106387807830 113480328352 141850410440 170220492528 177313013050 212775615660 265969519575 283700820880 340440985056 354626026100 425551231320 443282532625 531939039150 567401641760 709252052200 851102462640 886565065250 1063878078300 1329847597875 1418504104400 1702204925280 1773130130500 2127756156600 2659695195750 2837008208800 3546260261000 4255512313200 5319390391500 7092520522000 8511024626400 10638780783000 14185041044000 21277561566000 42555123132000