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42142069000 = 235342142069
BaseRepresentation
bin100111001111110111…
…001111000100001000
311000202221201220202101
4213033313033010020
51142301332202000
631205414443144
73021214450633
oct471767170410
9130687656671
1042142069000
11169661101a9
1282013634b4
133c87aac905
14207ac88c1a
151169aade6a
hex9cfdcf108

42142069000 has 32 divisors (see below), whose sum is σ = 98612443800. Its totient is φ = 16856827200.

The previous prime is 42142068967. The next prime is 42142069069. The reversal of 42142069000 is 96024124.

It can be written as a sum of positive squares in 4 ways, for example, as 12026631556 + 30115437444 = 109666^2 + 173538^2 .

It is a super-2 number, since 2×421420690002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42142069000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21070035 + ... + 21072034.

Almost surely, 242142069000 is an apocalyptic number.

42142069000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142069000 is an abundant number, since it is smaller than the sum of its proper divisors (56470374800).

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

42142069000 is a wasteful number, since it uses less digits than its factorization.

42142069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42142090 (or 42142076 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 42142069000 in words is "forty-two billion, one hundred forty-two million, sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42142069 84284138 168568276 210710345 337136552 421420690 842841380 1053551725 1685682760 2107103450 4214206900 5267758625 8428413800 10535517250 21071034500 42142069000