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4142133104 = 242927132941
BaseRepresentation
bin1111011011100011…
…1110111101110000
3101200200011011102012
43312320332331300
531440341224404
61523004142052
7204434356544
oct36670767560
911620134365
104142133104
1118361429aa
12977237928
135101c7945
142b4191a24
1519399da6e
hexf6e3ef70

4142133104 has 40 divisors (see below), whose sum is σ = 8333008320. Its totient is φ = 1992211200.

The previous prime is 4142133097. The next prime is 4142133131. The reversal of 4142133104 is 4013312414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109274 + ... + 142214.

It is an arithmetic number, because the mean of its divisors is an integer number (208325208).

Almost surely, 24142133104 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 4142133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166504160).

4142133104 is an abundant number, since it is smaller than the sum of its proper divisors (4190875216).

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

4142133104 is a wasteful number, since it uses less digits than its factorization.

4142133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33249 (or 33243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4142133104 is about 64359.4057150934. The cubic root of 4142133104 is about 1605.9845027549.

Adding to 4142133104 its reverse (4013312414), we get a palindrome (8155445518).

The spelling of 4142133104 in words is "four billion, one hundred forty-two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 271 464 542 1084 2168 4336 7859 15718 31436 32941 62872 65882 125744 131764 263528 527056 955289 1910578 3821156 7642312 8927011 15284624 17854022 35708044 71416088 142832176 258883319 517766638 1035533276 2071066552 4142133104