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4314053466 = 233239735809
BaseRepresentation
bin1000000010010001…
…10011101101011010
3102010122122121211000
410001020303231122
532313344202331
61552025045430
7211622564232
oct40110635532
912118577730
104314053466
111914197248
12a04926876
13539a00078
142ccd44cc2
151a3b0d0e6
hex101233b5a

4314053466 has 64 divisors (see below), whose sum is σ = 10107014400. Its totient is φ = 1361276928.

The previous prime is 4314053453. The next prime is 4314053473. The reversal of 4314053466 is 6643504134.

4314053466 is a `hidden beast` number, since 4 + 3 + 140 + 53 + 466 = 666.

It is a super-2 number, since 2×43140534662 = 37222114615013226312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4314053466.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102570 + ... + 138378.

It is an arithmetic number, because the mean of its divisors is an integer number (157922100).

Almost surely, 24314053466 is an apocalyptic number.

4314053466 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314053466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053507200).

4314053466 is an abundant number, since it is smaller than the sum of its proper divisors (5792960934).

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

4314053466 is a wasteful number, since it uses less digits than its factorization.

4314053466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940 (or 35934 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4314053466 is about 65681.4545058192. The cubic root of 4314053466 is about 1627.9029408558.

The spelling of 4314053466 in words is "four billion, three hundred fourteen million, fifty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 97 138 194 207 291 414 582 621 873 1242 1746 2231 2619 4462 5238 6693 13386 20079 35809 40158 60237 71618 107427 120474 214854 322281 644562 823607 966843 1647214 1933686 2470821 3473473 4941642 6946946 7412463 10420419 14824926 20840838 22237389 31261257 44474778 62522514 79889879 93783771 159779758 187567542 239669637 479339274 719008911 1438017822 2157026733 4314053466