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43342144100 = 22523711714093
BaseRepresentation
bin101000010111011001…
…001010001001100100
311010212120220001022022
4220113121022021210
51202231042102400
631524444322312
73063026101103
oct502731121144
9133776801268
1043342144100
1117421568402
128497243398
1341195cc318
1421523d803a
1511da111b85
hexa1764a264

43342144100 has 36 divisors (see below), whose sum is σ = 96594419124. Its totient is φ = 16868292480.

The previous prime is 43342144033. The next prime is 43342144103. The reversal of 43342144100 is 144124334.

It can be written as a sum of positive squares in 6 ways, for example, as 553566784 + 42788577316 = 23528^2 + 206854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 43342144100.

It is not an unprimeable number, because it can be changed into a prime (43342144103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5853347 + ... + 5860746.

It is an arithmetic number, because the mean of its divisors is an integer number (2683178309).

Almost surely, 243342144100 is an apocalyptic number.

It is an amenable number.

43342144100 is an abundant number, since it is smaller than the sum of its proper divisors (53252275024).

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

43342144100 is a wasteful number, since it uses less digits than its factorization.

43342144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11714144 (or 11714137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 43342144100 its reverse (144124334), we get a palindrome (43486268434).

The spelling of 43342144100 in words is "forty-three billion, three hundred forty-two million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 11714093 23428186 46856372 58570465 117140930 234281860 292852325 433421441 585704650 866842882 1171409300 1733685764 2167107205 4334214410 8668428820 10835536025 21671072050 43342144100