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42434500000 = 255684869
BaseRepresentation
bin100111100001010010…
…110001010110100000
311001112022222221200011
4213201102301112200
51143401213000000
631254422334304
73031365204304
oct474122612640
9131468887604
1042434500000
1116aa6194a12
12828328a394
13400355a4c9
1420a7a4bd04
1511855c52ba
hex9e14b15a0

42434500000 has 84 divisors (see below), whose sum is σ = 104428546110. Its totient is φ = 16973600000.

The previous prime is 42434499997. The next prime is 42434500013. The reversal of 42434500000 is 543424.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 13456928016 + 28977571984 = 116004^2 + 170228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 457566 + ... + 542434.

Almost surely, 242434500000 is an apocalyptic number.

42434500000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52214273055).

42434500000 is an abundant number, since it is smaller than the sum of its proper divisors (61994046110).

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

42434500000 is an frugal number, since it uses more digits than its factorization.

42434500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84909 (or 84876 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The spelling of 42434500000 in words is "forty-two billion, four hundred thirty-four million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 50000 62500 84869 100000 125000 169738 250000 339476 424345 500000 678952 848690 1357904 1697380 2121725 2715808 3394760 4243450 6789520 8486900 10608625 13579040 16973800 21217250 33947600 42434500 53043125 67895200 84869000 106086250 169738000 212172500 265215625 339476000 424345000 530431250 848690000 1060862500 1326078125 1697380000 2121725000 2652156250 4243450000 5304312500 8486900000 10608625000 21217250000 42434500000