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424242404400 = 243521918607123
BaseRepresentation
bin1100010110001101101…
…00010101110000110000
31111120001011221010000110
412023012310111300300
523422322023420100
6522521055021320
742436056636603
oct6130664256060
91446034833013
10424242404400
11153a13860661
126a279b0a840
133100cc1aa29
1416767a9c33a
15b07ed1d250
hex62c6d15c30

424242404400 has 120 divisors (see below), whose sum is σ = 1430515693120. Its totient is φ = 107177022720.

The previous prime is 424242404297. The next prime is 424242404429. The reversal of 424242404400 is 4404242424.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 9280762 + ... + 9326361.

Almost surely, 2424242404400 is an apocalyptic number.

424242404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424242404400 is an abundant number, since it is smaller than the sum of its proper divisors (1006273288720).

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

424242404400 is a wasteful number, since it uses less digits than its factorization.

424242404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607163 (or 18607152 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 424242404400 its reverse (4404242424), we get a palindrome (428646646824).

The spelling of 424242404400 in words is "four hundred twenty-four billion, two hundred forty-two million, four hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 18607123 37214246 55821369 74428492 93035615 111642738 148856984 186071230 223285476 279106845 297713968 353535337 372142460 446570952 465178075 558213690 707070674 744284920 893141904 930356150 1060606011 1116427380 1395534225 1414141348 1488569840 1767676685 1860712300 2121212022 2232854760 2791068450 2828282696 3535353370 3721424600 4242424044 4465709520 5303030055 5582136900 5656565392 7070706740 7442849200 8484848088 8838383425 10606060110 11164273800 14141413480 16969696176 17676766850 21212120220 22328547600 26515150275 28282826960 35353533700 42424240440 53030300550 70707067400 84848480880 106060601100 141414134800 212121202200 424242404400