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4234143024 = 243359271613
BaseRepresentation
bin1111110001011111…
…1110010100110000
3101221002021202022000
43330113332110300
532132420034044
61540052214000
7206632423206
oct37427762460
911832252260
104234143024
111883077361
129a200a300
135262a1697
142c24a3076
1519bac5d69
hexfc5fe530

4234143024 has 160 divisors (see below), whose sum is σ = 12425395200. Its totient is φ = 1380084480.

The previous prime is 4234143019. The next prime is 4234143061. The reversal of 4234143024 is 4203414324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6906942 + ... + 6907554.

It is an arithmetic number, because the mean of its divisors is an integer number (77658720).

Almost surely, 24234143024 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 4234143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212697600).

4234143024 is an abundant number, since it is smaller than the sum of its proper divisors (8191252176).

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

4234143024 is a wasteful number, since it uses less digits than its factorization.

4234143024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4234143024 is about 65070.2929453987. The cubic root of 4234143024 is about 1617.7888626794.

Adding to 4234143024 its reverse (4203414324), we get a palindrome (8437557348).

The spelling of 4234143024 in words is "four billion, two hundred thirty-four million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 271 354 432 472 531 542 613 708 813 944 1062 1084 1226 1416 1593 1626 1839 2124 2168 2439 2452 2832 3186 3252 3678 4248 4336 4878 4904 5517 6372 6504 7317 7356 8496 9756 9808 11034 12744 13008 14634 14712 15989 16551 19512 22068 25488 29268 29424 31978 33102 36167 39024 44136 47967 58536 63956 66204 72334 88272 95934 108501 117072 127912 132408 143901 144668 166123 191868 217002 255824 264816 287802 289336 325503 332246 383736 431703 434004 498369 575604 578672 651006 664492 767472 863406 868008 976509 996738 1151208 1302012 1328984 1495107 1726812 1736016 1953018 1993476 2302416 2604024 2657968 2990214 3453624 3906036 3986952 4485321 5208048 5980428 6907248 7812072 7973904 8970642 9801257 11960856 15624144 17941284 19602514 23921712 29403771 35882568 39205028 58807542 71765136 78410056 88211313 117615084 156820112 176422626 235230168 264633939 352845252 470460336 529267878 705690504 1058535756 1411381008 2117071512 4234143024