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4000224424440 = 2335161471206447
BaseRepresentation
bin111010001101011111111…
…101001011000111111000
3112011102021111222122101110
4322031133331023013320
51011014424423040230
612301402220120320
7562002201404556
oct72153775130770
915142244878343
104000224424440
111302538447012
1254732b0960a0
132302b1454c6a
14db87d07cbd6
156e0c5a3b4b0
hex3a35ff4b1f8

4000224424440 has 64 divisors (see below), whose sum is σ = 12000805724160. Its totient is φ = 1066714739840.

The previous prime is 4000224424439. The next prime is 4000224424451. The reversal of 4000224424440 is 444244220004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4000224424398 and 4000224424407.

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, 19273297 + ... + 19479743.

It is an arithmetic number, because the mean of its divisors is an integer number (187512589440).

Almost surely, 24000224424440 is an apocalyptic number.

4000224424440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000224424440 is an abundant number, since it is smaller than the sum of its proper divisors (8000581299720).

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

4000224424440 is a wasteful number, since it uses less digits than its factorization.

4000224424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367932 (or 367928 counting only the distinct ones).

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

Adding to 4000224424440 its reverse (444244220004), we get a palindrome (4444468644444).

The spelling of 4000224424440 in words is "four trillion, two hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 161471 206447 322942 412894 484413 619341 645884 807355 825788 968826 1032235 1238682 1291768 1614710 1651576 1937652 2064470 2422065 2477364 3096705 3229420 3875304 4128940 4844130 4954728 6193410 6458840 8257880 9688260 12386820 19376520 24773640 33335203537 66670407074 100005610611 133340814148 166676017685 200011221222 266681628296 333352035370 400022442444 500028053055 666704070740 800044884888 1000056106110 1333408141480 2000112212220 4000224424440