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42133081000 = 235364912
BaseRepresentation
bin100111001111010100…
…111100101110101000
311000202022211021112111
4213033110330232220
51142242032043000
631204454052104
73021045164563
oct471724745650
9130668737474
1042133081000
11169610313aa
1281ba34a034
133c85c8387a
1420799c94da
151168dd5cba
hex9cf53cba8

42133081000 has 48 divisors (see below), whose sum is σ = 98606600820. Its totient is φ = 16850636000.

The previous prime is 42133080991. The next prime is 42133081007. The reversal of 42133081000 is 18033124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 28481962756 + 13651118244 = 168766^2 + 116838^2 .

It is a super-2 number, since 2×421330810002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42133081007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487755 + ... + 6494245.

Almost surely, 242133081000 is an apocalyptic number.

42133081000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42133081000 is an abundant number, since it is smaller than the sum of its proper divisors (56473519820).

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

42133081000 is an frugal number, since it uses more digits than its factorization.

42133081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 42133081000 in words is "forty-two billion, one hundred thirty-three million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6491 12982 25964 32455 51928 64910 129820 162275 259640 324550 649100 811375 1298200 1622750 3245500 6491000 42133081 84266162 168532324 210665405 337064648 421330810 842661620 1053327025 1685323240 2106654050 4213308100 5266635125 8426616200 10533270250 21066540500 42133081000