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2300205450042 = 233377499153521
BaseRepresentation
bin100001011110001110111…
…011011100001100111010
322010220020021100211012000
4201132032323130030322
5300141310043400132
64520411053401430
7325120143504213
oct41361673341472
98126207324160
102300205450042
1180756a012805
12311966199276
13138ba6b07b46
147d48add240a
153ec7872087c
hex2178eedc33a

2300205450042 has 64 divisors (see below), whose sum is σ = 5250452400000. Its totient is φ = 745908238080.

The previous prime is 2300205450013. The next prime is 2300205450061. The reversal of 2300205450042 is 2400545020032.

It is a happy number.

2300205450042 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 205 + 450 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×23002054500422 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300205449988 and 2300205450015.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14906242 + ... + 15059762.

It is an arithmetic number, because the mean of its divisors is an integer number (82038318750).

Almost surely, 22300205450042 is an apocalyptic number.

2300205450042 is an abundant number, since it is smaller than the sum of its proper divisors (2950246949958).

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

2300205450042 is a wasteful number, since it uses less digits than its factorization.

2300205450042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161068 (or 161062 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 2300205450042 in words is "two trillion, three hundred billion, two hundred five million, four hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 7499 14998 22497 44994 67491 134982 153521 202473 277463 307042 404946 460563 554926 832389 921126 1381689 1664778 2497167 2763378 4145067 4994334 5680277 7491501 8290134 11360554 14983002 17040831 34081662 51122493 102244986 153367479 306734958 1151253979 2302507958 3453761937 6907523874 10361285811 20722571622 31083857433 42596397223 62167714866 85192794446 127789191669 255578383338 383367575007 766735150014 1150102725021 2300205450042