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420450204240 = 243251153087147
BaseRepresentation
bin1100001111001001100…
…10001111101001010000
31111012020220020101100200
412013210302033221100
523342040223013430
6521052511015200
742243101524503
oct6074462175120
91435226211320
10420450204240
111523481a7540
126959bb0a500
1330857384901
14164c819b13a
15ae0be43460
hex61e4c8fa50

420450204240 has 120 divisors (see below), whose sum is σ = 1540376686368. Its totient is φ = 101927320320.

The previous prime is 420450204149. The next prime is 420450204253. The reversal of 420450204240 is 42402054024.

420450204240 is a `hidden beast` number, since 4 + 2 + 0 + 450 + 204 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26535654 + ... + 26551493.

Almost surely, 2420450204240 is an apocalyptic number.

420450204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420450204240 is an abundant number, since it is smaller than the sum of its proper divisors (1119926482128).

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

420450204240 is a wasteful number, since it uses less digits than its factorization.

420450204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53087177 (or 53087168 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 420450204240 its reverse (42402054024), we get a palindrome (462852258264).

The spelling of 420450204240 in words is "four hundred twenty billion, four hundred fifty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 53087147 106174294 159261441 212348588 265435735 318522882 424697176 477784323 530871470 583958617 637045764 796307205 849394352 955568646 1061742940 1167917234 1274091528 1592614410 1751875851 1911137292 2123485880 2335834468 2388921615 2548183056 2919793085 3185228820 3503751702 3822274584 4246971760 4671668936 4777843230 5255627553 5839586170 6370457640 7007503404 7644549168 8759379255 9343337872 9555686460 10511255106 11679172340 12740915280 14015006808 17518758510 19111372920 21022510212 23358344680 26278137765 28030013616 35037517020 38222745840 42045020424 46716689360 52556275530 70075034040 84090040848 105112551060 140150068080 210225102120 420450204240