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42032240000 = 27541035101
BaseRepresentation
bin100111001001010100…
…010001010110000000
311000111022002000200122
4213021110101112000
51142040223140000
631150452435412
73015412100522
oct471124212600
9130438060618
1042032240000
111690a116033
128190618b68
133c6b10733a
14206a459a12
151160117085
hex9c9511580

42032240000 has 160 divisors (see below), whose sum is σ = 105673236240. Its totient is φ = 16646400000.

The previous prime is 42032239999. The next prime is 42032240027. The reversal of 42032240000 is 4223024.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8237450 + ... + 8242550.

Almost surely, 242032240000 is an apocalyptic number.

42032240000 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 42032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52836618120).

42032240000 is an abundant number, since it is smaller than the sum of its proper divisors (63640996240).

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

42032240000 is an equidigital number, since it uses as much as digits as its factorization.

42032240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 42032240000 its reverse (4223024), we get a palindrome (42036463024).

The spelling of 42032240000 in words is "forty-two billion, thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 320 400 412 500 515 625 640 800 824 1000 1030 1250 1600 1648 2000 2060 2500 2575 3200 3296 4000 4120 5000 5101 5150 6592 8000 8240 10000 10202 10300 12875 13184 16000 16480 20000 20404 20600 25505 25750 32960 40000 40808 41200 51010 51500 64375 65920 80000 81616 82400 102020 103000 127525 128750 163232 164800 204040 206000 255050 257500 326464 329600 408080 412000 510100 515000 525403 637625 652928 816160 824000 1020200 1030000 1050806 1275250 1632320 1648000 2040400 2060000 2101612 2550500 2627015 3188125 3264640 4080800 4120000 4203224 5101000 5254030 6376250 8161600 8240000 8406448 10202000 10508060 12752500 13135075 16323200 16812896 20404000 21016120 25505000 26270150 33625792 40808000 42032240 51010000 52540300 65675375 67251584 81616000 84064480 102020000 105080600 131350750 168128960 204040000 210161200 262701500 328376875 336257920 408080000 420322400 525403000 656753750 840644800 1050806000 1313507500 1681289600 2101612000 2627015000 4203224000 5254030000 8406448000 10508060000 21016120000 42032240000