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4100424030000 = 24325445560267
BaseRepresentation
bin111011101010110100010…
…100010101011100110000
3112111222220121012222222200
4323222310110111130300
51014140132022430000
612415413033303200
7602150221115514
oct73526424253460
915458817188880
104100424030000
111340a86515791
12562833864b00
1323988c4112ac
1410266681c144
15719dc553500
hex3bab4515730

4100424030000 has 150 divisors (see below), whose sum is σ = 14339775431124. Its totient is φ = 1093446384000.

The previous prime is 4100424029983. The next prime is 4100424030011. The reversal of 4100424030000 is 304240014.

4100424030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22690134 + ... + 22870133.

Almost surely, 24100424030000 is an apocalyptic number.

4100424030000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100424030000 is an abundant number, since it is smaller than the sum of its proper divisors (10239351401124).

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

4100424030000 is a wasteful number, since it uses less digits than its factorization.

4100424030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45560301 (or 45560277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4100424030000 its reverse (304240014), we get a palindrome (4100728270014).

The spelling of 4100424030000 in words is "four trillion, one hundred billion, four hundred twenty-four million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 45560267 91120534 136680801 182241068 227801335 273361602 364482136 410042403 455602670 546723204 683404005 728964272 820084806 911205340 1093446408 1139006675 1366808010 1640169612 1822410680 2050212015 2186892816 2278013350 2733616020 3280339224 3417020025 3644821360 4100424030 4556026700 5467232040 5695033375 6560678448 6834040050 8200848060 9112053400 10251060075 10934464080 11390066750 13668080100 16401696120 17085100125 18224106800 20502120150 22780133500 27336160200 28475166875 32803392240 34170200250 41004240300 45560267000 51255300375 54672320400 56950333750 68340400500 82008480600 85425500625 91120534000 102510600750 113900667500 136680801000 164016961200 170851001250 205021201500 227801335000 256276501875 273361602000 341702002500 410042403000 455602670000 512553003750 683404005000 820084806000 1025106007500 1366808010000 2050212015000 4100424030000