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4232705140100 = 22521717314392061
BaseRepresentation
bin111101100110000000111…
…000101110010110000100
3112222122100111110122101202
4331212000320232112010
51023322040003440400
613000251120442032
7614542244030603
oct75460070562604
915878314418352
104232705140100
111392097783678
125843b0479318
132491b0a75bc8
14108c14c39a3a
15751807a64d5
hex3d980e2e584

4232705140100 has 72 divisors (see below), whose sum is σ = 9781478585928. Its totient is φ = 1584277964800.

The previous prime is 4232705140039. The next prime is 4232705140171. The reversal of 4232705140100 is 10415072324.

It can be written as a sum of positive squares in 12 ways, for example, as 112917505024 + 4119787635076 = 336032^2 + 2029726^2 .

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 23 ways as a sum of consecutive naturals, for example, 6901931 + ... + 7490130.

It is an arithmetic number, because the mean of its divisors is an integer number (135853869249).

Almost surely, 24232705140100 is an apocalyptic number.

It is an amenable number.

4232705140100 is an abundant number, since it is smaller than the sum of its proper divisors (5548773445828).

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

4232705140100 is a wasteful number, since it uses less digits than its factorization.

4232705140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392265 (or 14392258 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 4232705140100 in words is "four trillion, two hundred thirty-two billion, seven hundred five million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 692 850 865 1700 1730 2941 3460 4325 5882 8650 11764 14705 17300 29410 58820 73525 147050 294100 14392061 28784122 57568244 71960305 143920610 244665037 287841220 359801525 489330074 719603050 978660148 1223325185 1439206100 2446650370 2489826553 4893300740 4979653106 6116625925 9959306212 12233251850 12449132765 24466503700 24898265530 42327051401 49796531060 62245663825 84654102802 124491327650 169308205604 211635257005 248982655300 423270514010 846541028020 1058176285025 2116352570050 4232705140100