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4142350352 = 247594211489
BaseRepresentation
bin1111011011100111…
…0100000000010000
3101200200120012102102
43312321310000100
531440420202402
61523012535532
7204436253120
oct36671640020
911620505372
104142350352
111836281148
129773215a8
135102727aa
142b420ac80
151939e3102
hexf6e74010

4142350352 has 80 divisors (see below), whose sum is σ = 9356246400. Its totient is φ = 1739888640.

The previous prime is 4142350351. The next prime is 4142350391. The reversal of 4142350352 is 2530532414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4142350351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781224 + ... + 2782712.

It is an arithmetic number, because the mean of its divisors is an integer number (116953080).

Almost surely, 24142350352 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 4142350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678123200).

4142350352 is an abundant number, since it is smaller than the sum of its proper divisors (5213896048).

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

4142350352 is a wasteful number, since it uses less digits than its factorization.

4142350352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 4142350352 is about 64361.0934649187. The cubic root of 4142350352 is about 1606.0125793371.

Adding to 4142350352 its reverse (2530532414), we get a palindrome (6672882766).

The spelling of 4142350352 in words is "four billion, one hundred forty-two million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 421 472 826 842 944 1489 1652 1684 2947 2978 3304 3368 5894 5956 6608 6736 10423 11788 11912 20846 23576 23824 24839 41692 47152 49678 83384 87851 99356 166768 173873 175702 198712 347746 351404 397424 614957 626869 695492 702808 1229914 1253738 1390984 1405616 2459828 2507476 2781968 4388083 4919656 5014952 8776166 9839312 10029904 17552332 35104664 36985271 70209328 73970542 147941084 258896897 295882168 517793794 591764336 1035587588 2071175176 4142350352