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43344040240 = 2455371143981
BaseRepresentation
bin101000010111100000…
…011001000100110000
311010212201110101022201
4220113200121010300
51202232033241430
631524553112544
73063051156154
oct502740310460
9133781411281
1043344040240
1117422642a66
1284979b8754
134119b143b7
14215276d064
1511da3888ca
hexa17819130

43344040240 has 80 divisors (see below), whose sum is σ = 104123174976. Its totient is φ = 16770790400.

The previous prime is 43344040237. The next prime is 43344040241. The reversal of 43344040240 is 4204044334.

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

It is a junction number, because it is equal to n+sod(n) for n = 43344040199 and 43344040208.

It is not an unprimeable number, because it can be changed into a prime (43344040241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229050 + ... + 373030.

Almost surely, 243344040240 is an apocalyptic number.

43344040240 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 43344040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061587488).

43344040240 is an abundant number, since it is smaller than the sum of its proper divisors (60779134736).

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

43344040240 is a wasteful number, since it uses less digits than its factorization.

43344040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144118 (or 144112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 43344040240 its reverse (4204044334), we get a palindrome (47548084574).

The spelling of 43344040240 in words is "forty-three billion, three hundred forty-four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 71 80 106 142 212 265 284 355 424 530 568 710 848 1060 1136 1420 2120 2840 3763 4240 5680 7526 15052 18815 30104 37630 60208 75260 143981 150520 287962 301040 575924 719905 1151848 1439810 2303696 2879620 5759240 7630993 10222651 11518480 15261986 20445302 30523972 38154965 40890604 51113255 61047944 76309930 81781208 102226510 122095888 152619860 163562416 204453020 305239720 408906040 541800503 610479440 817812080 1083601006 2167202012 2709002515 4334404024 5418005030 8668808048 10836010060 21672020120 43344040240