728133120
728,133,120 is an even composite number composed of six prime numbers multiplied together.
728133120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 728133120:
29 × 32 × 5 × 11 × 132 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 13 × 17)See below for interesting mathematical facts about the number 728133120 from the Numbermatics database.
Names of 728133120
- Cardinal: 728133120 can be written as Seven hundred twenty-eight million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 7.2813312 × 108
Factors of 728133120
Divisors of 728133120
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 24 26 30 32 33 34 36 39 40 44 45 48 51 52 55 60 64 65 66 68 72 78 80 85 88 90 96 99 102 104 110 117 120 128 130 132 136 143 144 153 156 160 165 169 170 176 180 187 192 195 198 204 208 220 221 234 240 255 256 260 264 272 286 288 306 312 320 330 338 340 352 360 374 384 390 396 408 416 429 440 442 468 480 495 507 510 512 520 528 544 561 572 576 585 612 624 640 660 663 676 680 704 715 720 748 765 768 780 792 816 832 845 858 880 884 935 936 960 990 1014 1020 1040 1056 1088 1105 1122 1144 1152 1170 1224 1248 1280 1287 1320 1326 1352 1360 1408 1430 1440 1496 1521 1530 1536 1560 1584 1632 1664 1683 1690 1716 1760 1768 1859 1870 1872 1920 1980 1989 2028 2040 2080 2112 2145 2176 2210 2244 2288 2304 2340 2431 2448 2496 2535 2560 2574 2640 2652 2704 2720 2805 2816 2860 2873 2880 2992 3042 3060 3120 3168 3264 3315 3328 3366 3380 3432 3520 3536 3718 3740 3744 3840 3960 3978 4056 4080 4160 4224 4290 4352 4420 4488 4576 4608 4680 4862 4896 4992 5070 5148 5280 5304 5408 5440 5577 5610 5632 5720 5746 5760 5984 6084 6120 6240 6336 6435 6528 6630 6656 6732 6760 6864 7040 7072 7293 7436 7480 7488 7605 7680 7920 7956 8112 8160 8320 8415 8448 8580 8619 8704 8840 8976 9152 9295 9360 9724 9792 9945 9984 10140 10296 10560 10608 10816 10880 11154 11220 11440 11492 11520 11968 12155 12168 12240 12480 12672 12870 13056 13260 13464 13520 13728 14080 14144 14365 14586 14872 14960 14976 15210 15840 15912 16224 16320 16640 16731 16830 16896 17160 17238 17680 17952 18304 18590 18720 19448 19584 19890 19968 20280 20592 21120 21216 21632 21760 21879 22308 22440 22880 22984 23040 23936 24310 24336 24480 24960 25344 25740 25857 26112 26520 26928 27040 27456 27885 28160 28288 28730 29172 29744 29920 29952 30420 31603 31680 31824 32448 32640 33280 33462 33660 34320 34476 35360 35904 36465 36608 37180 37440 38896 39168 39780 40560 41184 42240 42432 43095 43264 43520 43758 44616 44880 45760 45968 47872 48620 48672 48960 49920 50688 51480 51714 53040 53856 54080 54912 55770 56576 57460 58344 59488 59840 59904 60840 63206 63360 63648 64896 65280 66924 67320 68640 68952 70720 71808 72930 73216 74360 74880 77792 78336 79560 81120 82368 83655 84480 84864 86190 86528 87516 89232 89760 91520 91936 94809 95744 97240 97344 97920 99840 102960 103428 106080 107712 108160 109395 109824 111540 113152 114920 116688 118976 119680 121680 126412 126720 127296 129285 129792 130560 133848 134640 137280 137904 141440 143616 145860 148720 149760 155584 158015 159120 162240 164736 167310 169728 172380 175032 178464 179520 183040 183872 189618 194480 194688 195840 205920 206856 212160 215424 216320 218790 219648 223080 229840 233376 237952 239360 243360 252824 253440 254592 258570 259584 267696 269280 274560 275808 282880 284427 287232 291720 297440 299520 311168 316030 318240 324480 329472 334620 339456 344760 350064 356928 359040 366080 367744 379236 388960 389376 391680 411840 413712 424320 430848 432640 437580 446160 459680 466752 474045 475904 478720 486720 505648 509184 517140 535392 538560 549120 551616 565760 568854 583440 594880 622336 632060 636480 648960 658944 669240 689520 700128 713856 718080 735488 758472 777920 778752 823680 827424 848640 861696 875160 892320 919360 933504 948090 951808 973440 1011296 1018368 1034280 1070784 1077120 1098240 1103232 1137708 1166880 1189760 1244672 1264120 1272960 1297920 1338480 1379040 1400256 1422135 1427712 1436160 1470976 1516944 1555840 1647360 1654848 1697280 1750320 1784640 1838720 1867008 1896180 1946880 2022592 2068560 2141568 2154240 2206464 2275416 2333760 2379520 2528240 2545920 2676960 2758080 2800512 2844270 2855424 3033888 3111680 3294720 3309696 3500640 3569280 3677440 3734016 3792360 3893760 4045184 4137120 4283136 4308480 4412928 4550832 4667520 4759040 5056480 5091840 5353920 5516160 5601024 5688540 6067776 6223360 6619392 7001280 7138560 7354880 7584720 8090368 8274240 8566272 9101664 9335040 10112960 10707840 11032320 11202048 11377080 12135552 13238784 14002560 14277120 15169440 16180736 16548480 18203328 18670080 20225920 21415680 22064640 22754160 24271104 28005120 30338880 33096960 36406656 40451840 42831360 45508320 48542208 56010240 60677760 66193920 72813312 80903680 91016640 121355520 145626624 182033280 242711040 364066560 728133120
- Sum of all divisors σ(n): 3154097232
- Sum of proper divisors (its aliquot sum) s(n): 2425964112
- 728133120 is an abundant number, because the sum of its proper divisors (2425964112) is greater than itself. Its abundance is 1697830992
Bases of 728133120
- Binary: 1010110110011001101110000000002
- Hexadecimal: 0x2B666E00
- Base-36: C1IF40
Squares and roots of 728133120
- 728133120 squared (7281331202) is 530177840440934400
- 728133120 cubed (7281331203) is 386040045115119740387328000
-
The
square root of 728133120 is 26983.9418914287 -
The
cube root of 728133120 is 899.6431177615
Scales and comparisons
How big is 728133120?- 728,133,120 seconds is equal to 23 years, 7 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 728,133,120 would take you about thirty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 728133120 cubic inches would be around 75 feet tall.
Recreational maths with 728133120
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