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43224131440 = 2457271284819
BaseRepresentation
bin101000010000010110…
…111110011101110000
311010120100211101101001
4220100112332131300
51202010334201230
631505031051344
73060064024630
oct502026763560
9133510741331
1043224131440
1117370993786
128463810b54
1340cb01cb49
1421408786c0
1511ceaa00ca
hexa105be770

43224131440 has 80 divisors (see below), whose sum is σ = 115276907520. Its totient is φ = 14764965120.

The previous prime is 43224131429. The next prime is 43224131443. The reversal of 43224131440 is 4413142234.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 43224131399 and 43224131408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43224131443) by changing a digit.

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, 9351 + ... + 294169.

It is an arithmetic number, because the mean of its divisors is an integer number (1440961344).

Almost surely, 243224131440 is an apocalyptic number.

43224131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43224131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57638453760).

43224131440 is an abundant number, since it is smaller than the sum of its proper divisors (72052776080).

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

43224131440 is a wasteful number, since it uses less digits than its factorization.

43224131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285110 (or 285104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 43224131440 its reverse (4413142234), we get a palindrome (47637273674).

The spelling of 43224131440 in words is "forty-three billion, two hundred twenty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 271 280 542 560 1084 1355 1897 2168 2710 3794 4336 5420 7588 9485 10840 15176 18970 21680 30352 37940 75880 151760 284819 569638 1139276 1424095 1993733 2278552 2848190 3987466 4557104 5696380 7974932 9968665 11392760 15949864 19937330 22785520 31899728 39874660 77185949 79749320 154371898 159498640 308743796 385929745 540301643 617487592 771859490 1080603286 1234975184 1543718980 2161206572 2701508215 3087437960 4322413144 5403016430 6174875920 8644826288 10806032860 21612065720 43224131440