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4141943456 = 257197997127
BaseRepresentation
bin1111011011100001…
…0000101010100000
3101200122210112021012
43312320100222200
531440314142311
61523000120052
7204432636620
oct36670205240
911618715235
104141943456
111836023472
12977166028
1351015c521
142b4142880
1519396278b
hexf6e10aa0

4141943456 has 192 divisors, whose sum is σ = 10115481600. Its totient is φ = 1630347264.

The previous prime is 4141943453. The next prime is 4141943467. The reversal of 4141943456 is 6543491414.

It is not an unprimeable number, because it can be changed into a prime (4141943453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32613665 + ... + 32613791.

It is an arithmetic number, because the mean of its divisors is an integer number (52684800).

Almost surely, 24141943456 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 4141943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057740800).

4141943456 is an abundant number, since it is smaller than the sum of its proper divisors (5973538144).

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

4141943456 is a wasteful number, since it uses less digits than its factorization.

4141943456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 4141943456 is about 64357.9323471474. The cubic root of 4141943456 is about 1605.9599923244.

The spelling of 4141943456 in words is "four billion, one hundred forty-one million, nine hundred forty-three thousand, four hundred fifty-six".