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4243324100200 = 2352732069140473
BaseRepresentation
bin111101101111111001110…
…100110101111001101000
3120000122202112220201011021
4331233321310311321220
51024010311432201300
613005204533542224
7615366345510133
oct75577164657150
916018675821137
104243324100200
111396646916559
125864747a4974
1324a1b3a69c53
1410954127d21a
15755a2b79d1a
hex3dbf9d35e68

4243324100200 has 96 divisors (see below), whose sum is σ = 10005780403800. Its totient is φ = 1673257512960.

The previous prime is 4243324100189. The next prime is 4243324100233. The reversal of 4243324100200 is 20014233424.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 556299396 + 4242767800804 = 23586^2 + 2059798^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30137164 + ... + 30277636.

Almost surely, 24243324100200 is an apocalyptic number.

4243324100200 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 4243324100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002890201900).

4243324100200 is an abundant number, since it is smaller than the sum of its proper divisors (5762456303600).

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

4243324100200 is a wasteful number, since it uses less digits than its factorization.

4243324100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142631 (or 142622 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4243324100200 its reverse (20014233424), we get a palindrome (4263338333624).

The spelling of 4243324100200 in words is "four trillion, two hundred forty-three billion, three hundred twenty-four million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2069 2920 3650 4138 7300 8276 10345 14600 16552 20690 41380 51725 82760 103450 140473 151037 206900 280946 302074 413800 561892 604148 702365 755185 1123784 1208296 1404730 1510370 2809460 3020740 3511825 3775925 5618920 6041480 7023650 7551850 10254529 14047300 15103700 20509058 28094600 30207400 41018116 51272645 82036232 102545290 205090580 256363225 290638637 410181160 512726450 581277274 1025452900 1162554548 1453193185 2050905800 2325109096 2906386370 5812772740 7265965925 11625545480 14531931850 21216620501 29063863700 42433241002 58127727400 84866482004 106083102505 169732964008 212166205010 424332410020 530415512525 848664820040 1060831025050 2121662050100 4243324100200