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43444204240 = 2451409385417
BaseRepresentation
bin101000011101011110…
…011111001011010000
311011010200221020111111
4220131132133023100
51202433204013430
631542532023104
73065405433403
oct503536371320
9134120836444
1043444204240
1117474136728
128505461a94
1341347b4738
142161ba3d3a
1511e4071c2a
hexa1d79f2d0

43444204240 has 40 divisors (see below), whose sum is σ = 101079724680. Its totient is φ = 17365303296.

The previous prime is 43444204163. The next prime is 43444204249. The reversal of 43444204240 is 4240244434.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 43440563776 = 1908^2 + 208424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43444204249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79989 + ... + 305428.

It is an arithmetic number, because the mean of its divisors is an integer number (2526993117).

Almost surely, 243444204240 is an apocalyptic number.

43444204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43444204240 is an abundant number, since it is smaller than the sum of its proper divisors (57635520440).

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

43444204240 is a wasteful number, since it uses less digits than its factorization.

43444204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386839 (or 386833 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 43444204240 its reverse (4240244434), we get a palindrome (47684448674).

The spelling of 43444204240 in words is "forty-three billion, four hundred forty-four million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1409 2818 5636 7045 11272 14090 22544 28180 56360 112720 385417 770834 1541668 1927085 3083336 3854170 6166672 7708340 15416680 30833360 543052553 1086105106 2172210212 2715262765 4344420424 5430525530 8688840848 10861051060 21722102120 43444204240