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421350055341200 = 245216753269118411
BaseRepresentation
bin101111111001101110011010…
…0010111111110110010010000
32001020212200010211000212111122
41133303130310113332302100
5420211344403131404300
64052045313200301412
7154515352110013166
oct13763346427766220
92036780124025448
10421350055341200
111122896117375a7
123b310569011868
13151151a7ca41bb
147609646c69236
1533aa436561c85
hex17f37345fec90

421350055341200 has 120 divisors (see below), whose sum is σ = 1018382863283520. Its totient is φ = 167526240652800.

The previous prime is 421350055341151. The next prime is 421350055341209. The reversal of 421350055341200 is 2143550053124.

It is not an unprimeable number, because it can be changed into a prime (421350055341209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3558309995 + ... + 3558428405.

It is an arithmetic number, because the mean of its divisors is an integer number (8486523860696).

Almost surely, 2421350055341200 is an apocalyptic number.

421350055341200 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 421350055341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509191431641760).

421350055341200 is an abundant number, since it is smaller than the sum of its proper divisors (597032807942320).

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

421350055341200 is a wasteful number, since it uses less digits than its factorization.

421350055341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171865 (or 171854 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 421350055341200 in words is "four hundred twenty-one trillion, three hundred fifty billion, fifty-five million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 334 400 668 835 1336 1670 2672 3340 4175 6680 8350 13360 16700 33400 53269 66800 106538 118411 213076 236822 266345 426152 473644 532690 592055 852304 947288 1065380 1184110 1331725 1894576 2130760 2368220 2663450 2960275 4261520 4736440 5326900 5920550 8895923 9472880 10653800 11841100 17791846 19774637 21307600 23682200 35583692 39549274 44479615 47364400 71167384 79098548 88959230 98873185 142334768 158197096 177918460 197746370 222398075 316394192 355836920 395492740 444796150 494365925 711673840 790985480 889592300 988731850 1581970960 1779184600 1977463700 3558369200 3954927400 6307635559 7909854800 12615271118 25230542236 31538177795 50461084472 63076355590 100922168944 126152711180 157690888975 252305422360 315381777950 504610844720 630763555900 1053375138353 1261527111800 2106750276706 2523054223600 4213500553412 5266875691765 8427001106824 10533751383530 16854002213648 21067502767060 26334378458825 42135005534120 52668756917650 84270011068240 105337513835300 210675027670600 421350055341200