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4024442224000 = 27531122866149
BaseRepresentation
bin111010100100000011011…
…100101111110110000000
3112020201210022001022220201
4322210003130233312000
51011414024202132000
612320445255414544
7563520300325312
oct72440334576600
915221708038821
104024442224000
11131183579a2a0
1254bb69684454
132326708cb283
14dcad95b17b2
156ea41c0096a
hex3a90372fd80

4024442224000 has 128 divisors (see below), whose sum is σ = 10915385364000. Its totient is φ = 1463433472000.

The previous prime is 4024442223973. The next prime is 4024442224039. The reversal of 4024442224000 is 4222444204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40244422240002 (a number of 26 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 4024442224000.

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, 11257075 + ... + 11609074.

Almost surely, 24024442224000 is an apocalyptic number.

4024442224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024442224000 is an abundant number, since it is smaller than the sum of its proper divisors (6890943140000).

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

4024442224000 is a wasteful number, since it uses less digits than its factorization.

4024442224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22866189 (or 22866167 counting only the distinct ones).

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

Adding to 4024442224000 its reverse (4222444204), we get a palindrome (4028664668204).

The spelling of 4024442224000 in words is "four trillion, twenty-four billion, four hundred forty-two million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 22866149 45732298 91464596 114330745 182929192 228661490 251527639 365858384 457322980 503055278 571653725 731716768 914645960 1006110556 1143307450 1257638195 1463433536 1829291920 2012221112 2286614900 2515276390 2858268625 2926867072 3658583840 4024442224 4573229800 5030552780 5716537250 6288190975 7317167680 8048884448 9146459600 10061105560 11433074500 12576381950 14634335360 16097768896 18292919200 20122211120 22866149000 25152763900 31440954875 32195537792 36585838400 40244422240 45732298000 50305527800 62881909750 73171676800 80488844480 91464596000 100611055600 125763819500 160977688960 182929192000 201222111200 251527639000 365858384000 402444222400 503055278000 804888444800 1006110556000 2012221112000 4024442224000