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42433044200 = 2352966121961
BaseRepresentation
bin100111100001001101…
…001101111011101000
311001112020020222200122
4213201031031323220
51143400324403300
631254331222412
73031346632061
oct474115157350
9131466228618
1042433044200
1116aa5390178
1282828a7a08
13400316a9a1
1420a778d568
1511853d8c85
hex9e134dee8

42433044200 has 48 divisors (see below), whose sum is σ = 98671532460. Its totient is φ = 16970688000.

The previous prime is 42433044193. The next prime is 42433044233. The reversal of 42433044200 is 244033424.

It can be written as a sum of positive squares in 6 ways, for example, as 6812521444 + 35620522756 = 82538^2 + 188734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42433044200.

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 11 ways as a sum of consecutive naturals, for example, 1921220 + ... + 1943180.

Almost surely, 242433044200 is an apocalyptic number.

42433044200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42433044200 is an abundant number, since it is smaller than the sum of its proper divisors (56238488260).

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

42433044200 is a wasteful number, since it uses less digits than its factorization.

42433044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31638 (or 31629 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 42433044200 its reverse (244033424), we get a palindrome (42677077624).

The spelling of 42433044200 in words is "forty-two billion, four hundred thirty-three million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9661 19322 21961 38644 43922 48305 77288 87844 96610 109805 175688 193220 219610 241525 386440 439220 483050 549025 878440 966100 1098050 1932200 2196100 4392200 212165221 424330442 848660884 1060826105 1697321768 2121652210 4243304420 5304130525 8486608840 10608261050 21216522100 42433044200