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434213451020200 = 23522971730753031
BaseRepresentation
bin110001010111010100011001…
…0100000010011011110101000
32002221102101210222101212220211
41202232220302200103132220
5423403123121430121300
64135254523340230504
7160313613046145215
oct14256506240233650
92087371728355824
10434213451020200
111163989881a8035
124084958623b434
13158391ca73c737
147932086626b0c
15352ed4d1794ba
hex18aea328137a8

434213451020200 has 48 divisors (see below), whose sum is σ = 1009886075163360. Its totient is φ = 173626919928000.

The previous prime is 434213451020189. The next prime is 434213451020243. The reversal of 434213451020200 is 2020154312434.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364782316 + ... + 365970715.

It is an arithmetic number, because the mean of its divisors is an integer number (21039293232570).

Almost surely, 2434213451020200 is an apocalyptic number.

434213451020200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434213451020200 is an abundant number, since it is smaller than the sum of its proper divisors (575672624143160).

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

434213451020200 is a wasteful number, since it uses less digits than its factorization.

434213451020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730756018 (or 730756009 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 434213451020200 in words is "four hundred thirty-four trillion, two hundred thirteen billion, four hundred fifty-one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2971 5942 11884 14855 23768 29710 59420 74275 118840 148550 297100 594200 730753031 1461506062 2923012124 3653765155 5846024248 7307530310 14615060620 18268825775 29230121240 36537651550 73075303100 146150606200 2171067255101 4342134510202 8684269020404 10855336275505 17368538040808 21710672551010 43421345102020 54276681377525 86842690204040 108553362755050 217106725510100 434213451020200