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42415414330240 = 27579467726413
BaseRepresentation
bin10011010010011100110111…
…01101000100001110000000
312120011212121011010100012101
421221032123231010032000
521024413232032031430
6230113212232040144
711635261336100110
oct1151163355041600
9176155534110171
1042415414330240
1112573304692756
124910484533054
131a889aaaa4323
14a68cba3a7040
154d84c799bdca
hex26939bb44380

42415414330240 has 64 divisors (see below), whose sum is σ = 115884971307360. Its totient is φ = 14542427768832.

The previous prime is 42415414330169. The next prime is 42415414330259. The reversal of 42415414330240 is 4203341451424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42415414330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4733858727 + ... + 4733867686.

Almost surely, 242415414330240 is an apocalyptic number.

42415414330240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42415414330240 is an abundant number, since it is smaller than the sum of its proper divisors (73469556977120).

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

42415414330240 is an equidigital number, since it uses as much as digits as its factorization.

42415414330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467726439 (or 9467726427 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 42415414330240 its reverse (4203341451424), we get a palindrome (46618755781664).

The spelling of 42415414330240 in words is "forty-two trillion, four hundred fifteen billion, four hundred fourteen million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9467726413 18935452826 37870905652 47338632065 66274084891 75741811304 94677264130 132548169782 151483622608 189354528260 265096339564 302967245216 331370424455 378709056520 530192679128 605934490432 662740848910 757418113040 1060385358256 1211868980864 1325481697820 1514836226080 2120770716512 2650963395640 3029672452160 4241541433024 5301926791280 6059344904320 8483082866048 10603853582560 21207707165120 42415414330240