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42120035055 = 3257724718451
BaseRepresentation
bin100111001110100011…
…001011101011101111
311000201102021110212100
4213032203023223233
51142230212110210
631203310310143
73020526251010
oct471643135357
9130642243770
1042120035055
111695473082a
1281b5ab8353
133c83366787
142077d91007
151167baa5c0
hex9ce8cbaef

42120035055 has 48 divisors (see below), whose sum is σ = 83453819904. Its totient is φ = 19251172800.

The previous prime is 42120035011. The next prime is 42120035081. The reversal of 42120035055 is 55053002124.

It is a happy number.

42120035055 is a `hidden beast` number, since 421 + 200 + 35 + 0 + 5 + 5 = 666.

42120035055 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42120035055 - 212 = 42120030959 is a prime.

42120035055 is strictly pandigital in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273580 + ... + 2292030.

It is an arithmetic number, because the mean of its divisors is an integer number (1738621248).

Almost surely, 242120035055 is an apocalyptic number.

42120035055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42120035055 is a deficient number, since it is larger than the sum of its proper divisors (41333784849).

42120035055 is a wasteful number, since it uses less digits than its factorization.

42120035055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25716 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 42120035055 its reverse (55053002124), we get a palindrome (97173037179).

The spelling of 42120035055 in words is "forty-two billion, one hundred twenty million, thirty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 7247 18451 21741 36235 50729 55353 65223 92255 108705 129157 152187 166059 253645 276765 326115 387471 456561 645785 760935 830295 1162413 1937355 2282805 5812065 133714397 401143191 668571985 936000779 1203429573 2005715955 2808002337 4680003895 6017147865 8424007011 14040011685 42120035055