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43082951040 = 2732567111637
BaseRepresentation
bin101000000111111100…
…011010100110000000
311010012112011200021100
4220013330122212000
51201213213413130
631443025054400
73053431020153
oct500774324600
9133175150240
1043082951040
11172a9225868
128424487400
1340a79bb44c
142129c07c9a
1511c24b3c60
hexa07f1a980

43082951040 has 192 divisors, whose sum is σ = 150992627760. Its totient is φ = 11317211136.

The previous prime is 43082951039. The next prime is 43082951047. The reversal of 43082951040 is 4015928034.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×430829510402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43082950986 and 43082951004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43082951047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330102 + ... + 441738.

Almost surely, 243082951040 is an apocalyptic number.

43082951040 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 43082951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496313880).

43082951040 is an abundant number, since it is smaller than the sum of its proper divisors (107909676720).

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

43082951040 is a wasteful number, since it uses less digits than its factorization.

43082951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111729 (or 111714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 43082951040 in words is "forty-three billion, eighty-two million, nine hundred fifty-one thousand, forty".