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2042433400200 = 233526750806801
BaseRepresentation
bin11101101110001010100…
…001000110110110001000
321020020212200202220222220
4131232022201012312020
5231430400422301300
64202140404014040
7300363255312054
oct35561241066610
97206780686886
102042433400200
11718211454476
1228ba06991320
1311a7a67c80bb
1470bd62d2c64
15381dd436da0
hex1db8a846d88

2042433400200 has 96 divisors (see below), whose sum is σ = 6426044316960. Its totient is φ = 536519808000.

The previous prime is 2042433400171. The next prime is 2042433400201. The reversal of 2042433400200 is 20043342402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2042433400201) by changing a digit.

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, 25363201 + ... + 25443600.

It is an arithmetic number, because the mean of its divisors is an integer number (66937961635).

Almost surely, 22042433400200 is an apocalyptic number.

2042433400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042433400200 is an abundant number, since it is smaller than the sum of its proper divisors (4383610916760).

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

2042433400200 is a wasteful number, since it uses less digits than its factorization.

2042433400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50806887 (or 50806878 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2042433400200 its reverse (20043342402), we get a palindrome (2062476742602).

The spelling of 2042433400200 in words is "two trillion, forty-two billion, four hundred thirty-three million, four hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 50806801 101613602 152420403 203227204 254034005 304840806 406454408 508068010 609681612 762102015 1016136020 1219363224 1270170025 1524204030 2032272040 2540340050 3048408060 3404055667 3810510075 5080680100 6096816120 6808111334 7621020150 10161360200 10212167001 13616222668 15242040300 17020278335 20424334002 27232445336 30484080600 34040556670 40848668004 51060835005 68081113340 81697336008 85101391675 102121670010 136162226680 170202783350 204243340020 255304175025 340405566700 408486680040 510608350050 680811133400 1021216700100 2042433400200