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424420240000 = 27545305253
BaseRepresentation
bin1100010110100010110…
…10101110101010000000
31111120111120120002121011
412023101122232222000
523423203040140000
6522550450410304
742443346342001
oct6132132565200
91446446502534
10424420240000
11153aa5185129
126a309590994
133103aa146b3
14167835511a8
15b09074a2ba
hex62d16aea80

424420240000 has 80 divisors (see below), whose sum is σ = 1056567860370. Its totient is φ = 169768064000.

The previous prime is 424420239967. The next prime is 424420240001. The reversal of 424420240000 is 42024424.

It can be written as a sum of positive squares in 5 ways, for example, as 92284718656 + 332135521344 = 303784^2 + 576312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (424420240001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2572627 + ... + 2732626.

Almost surely, 2424420240000 is an apocalyptic number.

424420240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424420240000 is an abundant number, since it is smaller than the sum of its proper divisors (632147620370).

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

424420240000 is an frugal number, since it uses more digits than its factorization.

424420240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305287 (or 5305260 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 424420240000 its reverse (42024424), we get a palindrome (424462264424).

The spelling of 424420240000 in words is "four hundred twenty-four billion, four hundred twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 5305253 10610506 21221012 26526265 42442024 53052530 84884048 106105060 132631325 169768096 212210120 265262650 339536192 424420240 530525300 663156625 679072384 848840480 1061050600 1326313250 1697680960 2122101200 2652626500 3315783125 3395361920 4244202400 5305253000 6631566250 8488404800 10610506000 13263132500 16976809600 21221012000 26526265000 42442024000 53052530000 84884048000 106105060000 212210120000 424420240000