Search a number
-
+
4712171244 = 223113312307
BaseRepresentation
bin1000110001101111…
…00000011011101100
3110011101210002201220
410120313200123230
534122303434434
62055330103340
7224525536404
oct43067403354
913141702656
104712171244
111aa8997000
12ab611ab50
135a1332a11
14329b79804
151c8a4dd49
hex118de06ec

4712171244 has 144 divisors (see below), whose sum is σ = 12537157248. Its totient is φ = 1377367200.

The previous prime is 4712171237. The next prime is 4712171267. The reversal of 4712171244 is 4421712174.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15348939 + ... + 15349245.

It is an arithmetic number, because the mean of its divisors is an integer number (87063592).

Almost surely, 24712171244 is an apocalyptic number.

4712171244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4712171244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268578624).

4712171244 is an abundant number, since it is smaller than the sum of its proper divisors (7824986004).

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

4712171244 is a wasteful number, since it uses less digits than its factorization.

4712171244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 354 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 4712171244 is about 68645.2565294937. The cubic root of 4712171244 is about 1676.5133712706.

The spelling of 4712171244 in words is "four billion, seven hundred twelve million, one hundred seventy-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 307 341 363 372 484 614 682 726 921 961 1023 1228 1331 1364 1452 1842 1922 2046 2662 2883 3377 3684 3751 3844 3993 4092 5324 5766 6754 7502 7986 9517 10131 10571 11253 11532 13508 15004 15972 19034 20262 21142 22506 28551 31713 37147 38068 40524 41261 42284 45012 57102 63426 74294 82522 104687 111441 114204 116281 123783 126852 148588 165044 209374 222882 232562 247566 295027 314061 348843 408617 418748 445764 465124 495132 590054 628122 697686 817234 885081 1151557 1180108 1225851 1256244 1279091 1395372 1634468 1770162 2303114 2451702 2558182 3245297 3454671 3540324 3837273 4606228 4903404 5116364 6490594 6909342 7674546 9735891 12667127 12981188 13818684 15349092 19471782 25334254 35698267 38001381 38943564 50668508 71396534 76002762 107094801 142793068 152005524 214189602 392680937 428379204 785361874 1178042811 1570723748 2356085622 4712171244