120728104128
120,728,104,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 120728104128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
120728104128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 120728104128:
26 × 33 × 17 × 61 × 89 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 61 × 89 × 757)See below for interesting mathematical facts about the number 120728104128 from the Numbermatics database.
Names of 120728104128
- Cardinal: 120728104128 can be written as One hundred twenty billion, seven hundred twenty-eight million, one hundred four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.20728104128 × 1011
Factors of 120728104128
Divisors of 120728104128
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 61 64 68 72 89 96 102 108 122 136 144 153 178 183 192 204 216 244 267 272 288 306 356 366 408 432 459 488 534 544 549 576 612 712 732 757 801 816 864 918 976 1037 1068 1088 1098 1224 1424 1464 1513 1514 1602 1632 1647 1728 1836 1952 2074 2136 2196 2271 2403 2448 2848 2928 3026 3028 3111 3204 3264 3294 3672 3904 4148 4272 4392 4539 4542 4806 4896 5429 5696 5856 6052 6056 6222 6408 6588 6813 7344 8296 8544 8784 9078 9084 9333 9612 9792 10858 11712 12104 12112 12444 12816 12869 13176 13617 13626 14688 16287 16592 17088 17568 18156 18168 18666 19224 20439 21716 24208 24224 24888 25632 25738 26352 27234 27252 27999 29376 32574 33184 35136 36312 36336 37332 38448 38607 40851 40878 43432 46177 48416 48448 48861 49776 51264 51476 52704 54468 54504 55998 65148 66368 67373 72624 72672 74664 76896 77214 81702 81756 86864 92293 92354 96832 97722 99552 102952 105408 108936 109008 111996 115821 130296 134746 138531 145248 145344 146583 149328 153792 154428 163404 163512 173728 184586 184708 195444 199104 202119 205904 217872 218016 223992 231642 260592 269492 276879 277062 290496 293166 298656 308856 326808 327024 347456 347463 369172 369416 390888 404238 411808 415593 435744 436032 447984 463284 521184 538984 553758 554124 586332 597312 606357 617712 653616 654048 694926 738344 738832 781776 785009 808476 823616 830637 831186 871488 895968 926568 1042368 1077968 1107516 1108248 1145341 1172664 1212714 1235424 1246779 1307232 1308096 1389852 1476688 1477664 1563552 1570018 1616952 1661274 1662372 1791936 1819071 1853136 2155936 2215032 2216496 2290682 2345328 2355027 2425428 2470848 2491911 2493558 2614464 2779704 2953376 2955328 3127104 3140036 3233904 3322548 3324744 3436023 3638142 3706272 4109753 4311872 4430064 4432992 4581364 4690656 4710054 4850856 4983822 4987116 5559408 5906752 6280072 6467808 6645096 6649488 6872046 7065081 7276284 7412544 8219506 8860128 8865984 9162728 9381312 9420108 9701712 9967644 9974232 10308069 11118816 12329259 12560144 12935616 13290192 13298976 13744092 14130162 14552568 16439012 17720256 18325456 18840216 19403424 19935288 19948464 20616138 21195243 22237632 24658518 25120288 26580384 26597952 27488184 28260324 29105136 30924207 32878024 36650912 36987777 37680432 38806848 39870576 39896928 41232276 42390486 49317036 50240576 53160768 54976368 56520648 58210272 61848414 65756048 69865801 73301824 73975554 75360864 79741152 79793856 82464552 84780972 98634072 109952736 110963331 113041296 116420544 123696828 131512096 139731602 147951108 150721728 159482304 164929104 169561944 197268144 209597403 219905472 221926662 226082592 247393656 263024192 279463204 295902216 329858208 339123888 394536288 419194806 443853324 452165184 494787312 558926408 591804432 628792209 659716416 678247776 789072576 838389612 887706648 989574624 1117852816 1183608864 1257584418 1356495552 1676779224 1775413296 1886376627 1979149248 2235705632 2367217728 2515168836 3353558448 3550826592 3772753254 4471411264 5030337672 6707116896 7101653184 7545506508 10060675344 13414233792 15091013016 20121350688 30182026032 40242701376 60364052064 120728104128
- Sum of all divisors σ(n): 386758281600
- Sum of proper divisors (its aliquot sum) s(n): 266030177472
- 120728104128 is an abundant number, because the sum of its proper divisors (266030177472) is greater than itself. Its abundance is 145302073344
Bases of 120728104128
- Binary: 11100000110111111010010101100110000002
- Hexadecimal: 0x1C1BF4ACC0
- Base-36: 1JGME9C0
Squares and roots of 120728104128
- 120728104128 squared (1207281041282) is 14575275126341210640384
- 120728104128 cubed (1207281041283) is 1759645333147170033849861113905152
-
The
square root of 120728104128 is 347459.4999823721 -
The
cube root of 120728104128 is 4942.3799244571
Scales and comparisons
How big is 120728104128?- 120,728,104,128 seconds is equal to 3,838 years, 40 weeks, 4 days, 28 minutes, 48 seconds.
-
To count from 1 to 120,728,104,128 would take you about seven thousand, six hundred seventy-seven 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 120728104128 cubic inches would be around 411.9 feet tall.
Recreational maths with 120728104128
- 120728104128 backwards is 821401827021
- 120728104128 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 120728104128's digits is 36
- More coming soon!
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