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43140045312 = 293472132371
BaseRepresentation
bin101000001011010110…
…001101101000000000
311010100111121100220000
4220023112031220000
51201322322422222
631452424520000
73055023222600
oct501326155000
9133314540800
1043140045312
1117328481611
12843b620000
1340b678b940
14213362ac00
1511c74e09ac
hexa0b58da00

43140045312 has 1200 divisors, whose sum is σ = 170689825152. Its totient is φ = 10729635840.

The previous prime is 43140045293. The next prime is 43140045323. The reversal of 43140045312 is 21354004134.

It is a happy number.

It is a super-2 number, since 2×431400453122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 607606237 + ... + 607606307.

Almost surely, 243140045312 is an apocalyptic number.

43140045312 is a gapful number since it is divisible by the number (42) 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 43140045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344912576).

43140045312 is an abundant number, since it is smaller than the sum of its proper divisors (127549779840).

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

43140045312 is a wasteful number, since it uses less digits than its factorization.

43140045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 43140045312 its reverse (21354004134), we get a palindrome (64494049446).

The spelling of 43140045312 in words is "forty-three billion, one hundred forty million, forty-five thousand, three hundred twelve".