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43980381225 = 3252112312412
BaseRepresentation
bin101000111101011011…
…110101110000101001
311012112001211212001100
4220331123311300221
51210032434144400
632112044112013
73114606033534
oct507533656051
9135461755040
1043980381225
1117719862400
128634b35609
1341bb8c5221
1421b3095a1b
151226184100
hexa3d6f5c29

43980381225 has 243 divisors, whose sum is σ = 91704619461. Its totient is φ = 20132640000.

The previous prime is 43980381167. The next prime is 43980381251. The reversal of 43980381225 is 52218308934.

The square root of 43980381225 is 209715.

It is a perfect power (a square), and thus also a powerful number.

43980381225 is a `hidden beast` number, since 4 + 398 + 0 + 38 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18512051481 + 25468329744 = 136059^2 + 159588^2 .

It is not a de Polignac number, because 43980381225 - 227 = 43846163497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1072692205 + ... + 1072692245.

Almost surely, 243980381225 is an apocalyptic number.

43980381225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43980381225 is the 209715-th square number.

43980381225 is the 104858-th centered octagonal number.

It is an amenable number.

43980381225 is an abundant number, since it is smaller than the sum of its proper divisors (47724238236).

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

43980381225 is a wasteful number, since it uses less digits than its factorization.

43980381225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 43980381225 in words is "forty-three billion, nine hundred eighty million, three hundred eighty-one thousand, two hundred twenty-five".