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20430340000 = 25547145931
BaseRepresentation
bin10011000001101111…
…100011111110100000
31221201211021210202021
4103001233203332200
5313320131340000
613215141031224
71322166011320
oct230157437640
957654253667
1020430340000
118734437914
123b620b5514
131c078acba5
14dbb507280
157e892411a
hex4c1be3fa0

20430340000 has 120 divisors (see below), whose sum is σ = 57442337568. Its totient is φ = 7004640000.

The previous prime is 20430339929. The next prime is 20430340001. The reversal of 20430340000 is 4303402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20430340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67035 + ... + 212965.

Almost surely, 220430340000 is an apocalyptic number.

20430340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721168784).

20430340000 is an abundant number, since it is smaller than the sum of its proper divisors (37011997568).

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

20430340000 is an equidigital number, since it uses as much as digits as its factorization.

20430340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145968 (or 145945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20430340000 its reverse (4303402), we get a palindrome (20434643402).

The spelling of 20430340000 in words is "twenty billion, four hundred thirty million, three hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 145931 291862 583724 729655 1021517 1167448 1459310 2043034 2334896 2918620 3648275 4086068 4669792 5107585 5837240 7296550 8172136 10215170 11674480 14593100 16344272 18241375 20430340 23348960 25537925 29186200 32688544 36482750 40860680 51075850 58372400 72965500 81721360 91206875 102151700 116744800 127689625 145931000 163442720 182413750 204303400 255379250 291862000 364827500 408606800 510758500 583724000 638448125 729655000 817213600 1021517000 1276896250 1459310000 2043034000 2553792500 2918620000 4086068000 5107585000 10215170000 20430340000