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42427030200 = 2335270711717
BaseRepresentation
bin100111100000110110…
…010001101010111000
311001111210221110000220
4213200312101222320
51143342304431300
631253554300040
73031244543412
oct474066215270
9131453843026
1042427030200
1116aa1a52825
128280887620
134001b434c9
1420a6a659b2
151184aebda0
hex9e0d91ab8

42427030200 has 48 divisors (see below), whose sum is σ = 131523795480. Its totient is φ = 11313874560.

The previous prime is 42427030199. The next prime is 42427030231. The reversal of 42427030200 is 203072424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35355259 + ... + 35356458.

Almost surely, 242427030200 is an apocalyptic number.

42427030200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42427030200 is an abundant number, since it is smaller than the sum of its proper divisors (89096765280).

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

42427030200 is a wasteful number, since it uses less digits than its factorization.

42427030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70711736 (or 70711727 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The spelling of 42427030200 in words is "forty-two billion, four hundred twenty-seven million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70711717 141423434 212135151 282846868 353558585 424270302 565693736 707117170 848540604 1060675755 1414234340 1697081208 1767792925 2121351510 2828468680 3535585850 4242703020 5303378775 7071171700 8485406040 10606757550 14142343400 21213515100 42427030200