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20424424240 = 24511171365269
BaseRepresentation
bin10011000001011000…
…111111101100110000
31221201102011020212001
4103001120333230300
5313312123033430
613214410143344
71322064512233
oct230130775460
957642136761
1020424424240
118731067260
123b60121b54
131c065bb33c
14dba80741a
157e81563ca
hex4c163fb30

20424424240 has 80 divisors (see below), whose sum is σ = 54851087520. Its totient is φ = 6990172160.

The previous prime is 20424424231. The next prime is 20424424253. The reversal of 20424424240 is 4242442402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20424424199 and 20424424208.

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 15 ways as a sum of consecutive naturals, for example, 667675 + ... + 697594.

It is an arithmetic number, because the mean of its divisors is an integer number (685638594).

Almost surely, 220424424240 is an apocalyptic number.

20424424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424424240 is an abundant number, since it is smaller than the sum of its proper divisors (34426663280).

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

20424424240 is a wasteful number, since it uses less digits than its factorization.

20424424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365310 (or 1365304 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20424424240 its reverse (4242442402), we get a palindrome (24666866642).

It can be divided in two parts, 204244 and 24240, that added together give a square (228484 = 4782).

The spelling of 20424424240 in words is "twenty billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 1365269 2730538 5461076 6826345 10922152 13652690 15017959 21844304 23209573 27305380 30035918 46419146 54610760 60071836 75089795 92838292 109221520 116047865 120143672 150179590 185676584 232095730 240287344 255305303 300359180 371353168 464191460 510610606 600718360 928382920 1021221212 1201436720 1276526515 1856765840 2042442424 2553053030 4084884848 5106106060 10212212120 20424424240