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424144433104 = 247191487134039
BaseRepresentation
bin1100010110000001111…
…10100110111111010000
31111112210100120122122221
412023000332212333100
523422121433324404
6522503235110424
742433460124160
oct6130076467720
91445710518587
10424144433104
11153973525347
126a251142414
1330cc5837752
1416758a785a0
15b076419954
hex62c0fa6fd0

424144433104 has 80 divisors (see below), whose sum is σ = 989279539200. Its totient is φ = 172091924352.

The previous prime is 424144433099. The next prime is 424144433147. The reversal of 424144433104 is 401334441424.

It is a super-2 number, since 2×4241444331042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 424144433104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097317 + ... + 3231355.

It is an arithmetic number, because the mean of its divisors is an integer number (12365994240).

Almost surely, 2424144433104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424144433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494639769600).

424144433104 is an abundant number, since it is smaller than the sum of its proper divisors (565135106096).

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

424144433104 is a wasteful number, since it uses less digits than its factorization.

424144433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135560 (or 135554 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 424144433104 its reverse (401334441424), we get a palindrome (825478874528).

The spelling of 424144433104 in words is "four hundred twenty-four billion, one hundred forty-four million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1487 2128 2974 5948 10409 11896 20818 23792 28253 41636 56506 83272 113012 134039 166544 197771 226024 268078 395542 452048 536156 791084 938273 1072312 1582168 1876546 2144624 2546741 3164336 3753092 5093482 7506184 10186964 15012368 17827187 20373928 35654374 40747856 71308748 142617496 199315993 285234992 398631986 797263972 1395211951 1594527944 2790423902 3189055888 3787003867 5580847804 7574007734 11161695608 15148015468 22323391216 26509027069 30296030936 53018054138 60592061872 106036108276 212072216552 424144433104