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420442104000 = 2635317518421
BaseRepresentation
bin1100001111001000100…
…11010110000011000000
31111012020022222211220210
412013210103112003000
523342031134312000
6521052021234120
742242642626602
oct6074423260300
91435208884823
10420442104000
11152343674726
1269599262940
13308557a9979
14164c708d172
15ae0b393350
hex61e44d60c0

420442104000 has 112 divisors (see below), whose sum is σ = 1388299906656. Its totient is φ = 112117888000.

The previous prime is 420442103999. The next prime is 420442104001. The reversal of 420442104000 is 401244024.

It is an interprime number because it is at equal distance from previous prime (420442103999) and next prime (420442104001).

It is not an unprimeable number, because it can be changed into a prime (420442104001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8735211 + ... + 8783210.

Almost surely, 2420442104000 is an apocalyptic number.

420442104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420442104000 is an abundant number, since it is smaller than the sum of its proper divisors (967857802656).

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

420442104000 is a wasteful number, since it uses less digits than its factorization.

420442104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518451 (or 17518431 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 420442104000 its reverse (401244024), we get a palindrome (420843348024).

The spelling of 420442104000 in words is "four hundred twenty billion, four hundred forty-two million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 17518421 35036842 52555263 70073684 87592105 105110526 140147368 175184210 210221052 262776315 280294736 350368420 420442104 437960525 525552630 560589472 700736840 840884208 875921050 1051105260 1121178944 1313881575 1401473680 1681768416 1751842100 2102210520 2189802625 2627763150 2802947360 3363536832 3503684200 4204421040 4379605250 5255526300 5605894720 6569407875 7007368400 8408842080 8759210500 10511052600 13138815750 14014736800 16817684160 17518421000 21022105200 26277631500 28029473600 35036842000 42044210400 52555263000 70073684000 84088420800 105110526000 140147368000 210221052000 420442104000