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4144133244320 = 25589291020593
BaseRepresentation
bin111100010011100001100…
…101110000010110100000
3112200011201202211010222022
4330103201211300112200
51020344141102304240
612451442153401012
7605255325241316
oct74234145602640
915604652733868
104144133244320
1113585761a7403
1256b1b1a09168
13240a36a92514
141048118880b6
1572be99c19b5
hex3c4e19705a0

4144133244320 has 48 divisors (see below), whose sum is σ = 9900520607880. Its totient is φ = 1639027974144.

The previous prime is 4144133244319. The next prime is 4144133244331. The reversal of 4144133244320 is 234423314414.

It can be written as a sum of positive squares in 4 ways, for example, as 3336715982224 + 807417262096 = 1826668^2 + 898564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145496057 + ... + 145524536.

Almost surely, 24144133244320 is an apocalyptic number.

4144133244320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144133244320 is an abundant number, since it is smaller than the sum of its proper divisors (5756387363560).

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

4144133244320 is a wasteful number, since it uses less digits than its factorization.

4144133244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291020697 (or 291020689 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 4144133244320 its reverse (234423314414), we get a palindrome (4378556558734).

The spelling of 4144133244320 in words is "four trillion, one hundred forty-four billion, one hundred thirty-three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 291020593 582041186 1164082372 1455102965 2328164744 2910205930 4656329488 5820411860 9312658976 11640823720 23281647440 25900832777 46563294880 51801665554 103603331108 129504163885 207206662216 259008327770 414413324432 518016655540 828826648864 1036033311080 2072066622160 4144133244320