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4142951820 = 2233572347653
BaseRepresentation
bin1111011011110000…
…0110110110001100
3101200201200202111000
43312330012312030
531441043424240
61523033500300
7204444336510
oct36674066614
911621622430
104142951820
111836652027
12977571690
135104234a7
142b4326140
15193ab1430
hexf6f06d8c

4142951820 has 192 divisors, whose sum is σ = 15371274240. Its totient is φ = 905769216.

The previous prime is 4142951809. The next prime is 4142951821. The reversal of 4142951820 is 281592414.

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

It is not an unprimeable number, because it can be changed into a prime (4142951821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63114 + ... + 110766.

It is an arithmetic number, because the mean of its divisors is an integer number (80058720).

Almost surely, 24142951820 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 4142951820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685637120).

4142951820 is an abundant number, since it is smaller than the sum of its proper divisors (11228322420).

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

4142951820 is a wasteful number, since it uses less digits than its factorization.

4142951820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47701 (or 47693 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4142951820 is about 64365.7659008265. The cubic root of 4142951820 is about 1606.0903064198.

The spelling of 4142951820 in words is "four billion, one hundred forty-two million, nine hundred fifty-one thousand, eight hundred twenty".