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4233201140 = 2257219613727
BaseRepresentation
bin1111110001010001…
…1000010111110100
3101221000111220021102
43330110120113310
532132144414030
61540020105232
7206621421200
oct37424302764
911830456242
104233201140
111882593743
129a1835218
13526031a5c
142c22d9b00
1519b98bc45
hexfc5185f4

4233201140 has 144 divisors (see below), whose sum is σ = 11066791680. Its totient is φ = 1352090880.

The previous prime is 4233201139. The next prime is 4233201143. The reversal of 4233201140 is 411023324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233201143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133957 + ... + 1137683.

It is an arithmetic number, because the mean of its divisors is an integer number (76852720).

Almost surely, 24233201140 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 4233201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533395840).

4233201140 is an abundant number, since it is smaller than the sum of its proper divisors (6833590540).

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

4233201140 is a wasteful number, since it uses less digits than its factorization.

4233201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4233201140 is about 65063.0551081026. The cubic root of 4233201140 is about 1617.6688948813.

Adding to 4233201140 its reverse (411023324), we get a palindrome (4644224464).

The spelling of 4233201140 in words is "four billion, two hundred thirty-three million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 61 70 76 95 98 122 133 140 190 196 244 245 266 305 380 427 490 532 610 665 854 931 980 1159 1220 1330 1708 1862 2135 2318 2660 2989 3724 3727 4270 4636 4655 5795 5978 7454 8113 8540 9310 11590 11956 14908 14945 16226 18620 18635 23180 26089 29890 32452 37270 40565 52178 56791 59780 70813 74540 81130 104356 113582 130445 141626 162260 182623 227164 227347 260890 283252 283955 354065 365246 454694 495691 521780 567910 708130 730492 909388 913115 991382 1135820 1136735 1416260 1591429 1826230 1982764 2273470 2478455 3182858 3469837 3652460 4319593 4546940 4956910 6365716 6939674 7957145 8639186 9913820 11140003 13879348 15914290 17278372 17349185 21597965 22280006 30237151 31828580 34698370 43195930 44560012 55700015 60474302 69396740 86391860 111400030 120948604 151185755 211660057 222800060 302371510 423320114 604743020 846640228 1058300285 2116600570 4233201140