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1242433045200 = 243522935702099
BaseRepresentation
bin10010000101000110110…
…001111100001011010000
311101202221021222011001010
4102011012301330023100
5130324000324421300
62350433232010520
7155522435431044
oct22050661741320
94352837864033
101242433045200
11439a05077a96
12180960390a40
1390212755c89
14441c3cb8024
15224ba0c4a50
hex12146c7c2d0

1242433045200 has 120 divisors (see below), whose sum is σ = 4117166172000. Its totient is φ = 319890798080.

The previous prime is 1242433045169. The next prime is 1242433045303. The reversal of 1242433045200 is 25403342421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17816250 + ... + 17885849.

It is an arithmetic number, because the mean of its divisors is an integer number (34309718100).

Almost surely, 21242433045200 is an apocalyptic number.

1242433045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242433045200 is an abundant number, since it is smaller than the sum of its proper divisors (2874733126800).

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

1242433045200 is a wasteful number, since it uses less digits than its factorization.

1242433045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35702149 (or 35702138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1242433045200 its reverse (25403342421), we get a palindrome (1267836387621).

The spelling of 1242433045200 in words is "one trillion, two hundred forty-two billion, four hundred thirty-three million, forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 35702099 71404198 107106297 142808396 178510495 214212594 285616792 357020990 428425188 535531485 571233584 714041980 856850376 892552475 1035360871 1071062970 1428083960 1713700752 1785104950 2070721742 2142125940 2677657425 2856167920 3106082613 3570209900 4141443484 4284251880 5176804355 5355314850 6212165226 7140419800 8282886968 8568503760 10353608710 10710629700 12424330452 14280839600 15530413065 16565773936 20707217420 21421259400 24848660904 25884021775 31060826130 41414434840 42842518800 49697321808 51768043550 62121652260 77652065325 82828869680 103536087100 124243304520 155304130650 207072174200 248486609040 310608261300 414144348400 621216522600 1242433045200