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420011414200 = 23527300008153
BaseRepresentation
bin1100001110010101010…
…00011001001010111000
31111011010022120112120201
412013022220121022320
523340140410223300
6520541154131544
742226163054320
oct6071250311270
91434108515521
10420011414200
11152142548044
1269498b80bb4
13307b74b1431
1416485bba280
15add366b66a
hex61caa192b8

420011414200 has 48 divisors (see below), whose sum is σ = 1116030332880. Its totient is φ = 144003912960.

The previous prime is 420011414167. The next prime is 420011414237. The reversal of 420011414200 is 2414110024.

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 11 ways as a sum of consecutive naturals, for example, 150002677 + ... + 150005476.

It is an arithmetic number, because the mean of its divisors is an integer number (23250631935).

Almost surely, 2420011414200 is an apocalyptic number.

420011414200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420011414200 is an abundant number, since it is smaller than the sum of its proper divisors (696018918680).

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

420011414200 is a wasteful number, since it uses less digits than its factorization.

420011414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300008176 (or 300008167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 420011414200 its reverse (2414110024), we get a palindrome (422425524224).

The spelling of 420011414200 in words is "four hundred twenty billion, eleven million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 300008153 600016306 1200032612 1500040765 2100057071 2400065224 3000081530 4200114142 6000163060 7500203825 8400228284 10500285355 12000326120 15000407650 16800456568 21000570710 30000815300 42001141420 52501426775 60001630600 84002282840 105002853550 210005707100 420011414200