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43427119140 = 22335171271932
BaseRepresentation
bin101000011100011101…
…010100000000100100
311011002111210020011000
4220130131110000210
51202414320303030
631541121513300
73065110264536
oct503435240044
9134074706130
1043427119140
1117465527409
1284bb7a2830
1341310b2002
14215d7d7856
1511e27e9860
hexa1c754024

43427119140 has 288 divisors, whose sum is σ = 144931368960. Its totient is φ = 10757505024.

The previous prime is 43427119111. The next prime is 43427119147. The reversal of 43427119140 is 4191172434.

43427119140 is a `hidden beast` number, since 4 + 3 + 427 + 1 + 191 + 40 = 666.

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 = 43427119095 and 43427119104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43427119147) 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 95 ways as a sum of consecutive naturals, for example, 225010884 + ... + 225011076.

It is an arithmetic number, because the mean of its divisors is an integer number (503233920).

Almost surely, 243427119140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43427119140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465684480).

43427119140 is an abundant number, since it is smaller than the sum of its proper divisors (101504249820).

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

43427119140 is a wasteful number, since it uses less digits than its factorization.

43427119140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 43427119140 in words is "forty-three billion, four hundred twenty-seven million, one hundred nineteen thousand, one hundred forty".