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43224342144 = 2731914939761
BaseRepresentation
bin101000010000010111…
…110001111010000000
311010120101020002101220
4220100113301322000
51202010412422034
631505035355040
73060065563134
oct502027617200
9133511202356
1043224342144
1117371018015
1284638b2a80
1340cb094a19
1421408d13c4
1511ceae2749
hexa105f1e80

43224342144 has 128 divisors (see below), whose sum is σ = 121671720000. Its totient is φ = 13557841920.

The previous prime is 43224342143. The next prime is 43224342149. The reversal of 43224342144 is 44124342234.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (43224342143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067224 + ... + 1106984.

Almost surely, 243224342144 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 43224342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60835860000).

43224342144 is an abundant number, since it is smaller than the sum of its proper divisors (78447377856).

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

43224342144 is a wasteful number, since it uses less digits than its factorization.

43224342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39946 (or 39934 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 43224342144 its reverse (44124342234), we get a palindrome (87348684378).

The spelling of 43224342144 in words is "forty-three billion, two hundred twenty-four million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 149 152 192 228 298 304 384 447 456 596 608 894 912 1192 1216 1788 1824 2384 2432 2831 3576 3648 4768 5662 7152 7296 8493 9536 11324 14304 16986 19072 22648 28608 33972 39761 45296 57216 67944 79522 90592 119283 135888 159044 181184 238566 271776 318088 362368 477132 543552 636176 755459 954264 1087104 1272352 1510918 1908528 2266377 2544704 3021836 3817056 4532754 5089408 5924389 6043672 7634112 9065508 11848778 12087344 15268224 17773167 18131016 23697556 24174688 35546334 36262032 47395112 48349376 71092668 72524064 94790224 96698752 112563391 142185336 145048128 189580448 225126782 284370672 290096256 337690173 379160896 450253564 568741344 675380346 758321792 900507128 1137482688 1350760692 1801014256 2274965376 2701521384 3602028512 5403042768 7204057024 10806085536 14408114048 21612171072 43224342144