120828535591140
120,828,535,591,140 is an even composite number composed of six prime numbers multiplied together.
What does the number 120828535591140 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
120828535591140 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 120828535591140:
22 × 311 × 5 × 133 × 192 × 43
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 19 × 19 × 43)See below for interesting mathematical facts about the number 120828535591140 from the Numbermatics database.
Names of 120828535591140
- Cardinal: 120828535591140 can be written as One hundred twenty trillion, eight hundred twenty-eight billion, five hundred thirty-five million, five hundred ninety-one thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.2082853559114 × 1014
Factors of 120828535591140
Divisors of 120828535591140
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 27 30 36 38 39 43 45 52 54 57 60 65 76 78 81 86 90 95 108 114 117 129 130 135 156 162 169 171 172 180 190 195 215 228 234 243 247 258 260 270 285 324 338 342 351 361 380 387 390 405 430 468 486 494 507 513 516 540 559 570 585 645 676 684 702 722 729 741 774 780 810 817 845 855 860 972 988 1014 1026 1053 1083 1118 1140 1161 1170 1215 1235 1290 1404 1444 1458 1482 1521 1539 1548 1620 1634 1677 1690 1710 1755 1805 1935 2028 2052 2106 2166 2187 2197 2223 2236 2322 2340 2430 2451 2470 2535 2565 2580 2795 2916 2964 3042 3078 3159 3211 3249 3268 3354 3380 3420 3483 3510 3610 3645 3705 3870 4085 4212 4332 4374 4394 4446 4563 4617 4644 4693 4860 4902 4940 5031 5070 5130 5265 5415 5590 5805 6084 6156 6318 6422 6498 6561 6591 6669 6708 6966 7020 7220 7267 7290 7353 7410 7605 7695 7740 8170 8385 8748 8788 8892 9126 9234 9386 9477 9633 9747 9804 10062 10140 10260 10449 10530 10621 10830 10935 10985 11115 11180 11610 12255 12636 12844 12996 13122 13182 13338 13689 13851 13932 14079 14534 14580 14706 14820 15093 15210 15390 15523 15795 16055 16245 16340 16770 17415 18252 18468 18772 18954 19266 19494 19683 19773 20007 20124 20898 21060 21242 21660 21801 21870 21970 22059 22230 22815 23085 23220 23465 24510 25155 26244 26364 26676 27378 27702 28158 28431 28899 29068 29241 29412 30186 30420 30780 31046 31347 31590 31863 32110 32490 32805 32955 33345 33540 34830 36335 36765 37908 38532 38988 39366 39546 40014 41067 41553 41743 41796 42237 42484 43602 43740 43940 44118 44460 45279 45630 46170 46569 46930 47385 48165 48735 49020 50310 52245 53105 54756 55404 56316 56862 57798 58482 59049 59319 60021 60372 61009 62092 62694 63180 63726 64220 64980 65403 65610 65910 66177 66690 68445 69255 69660 70395 72670 73530 75465 77615 78732 79092 80028 82134 83106 83486 84474 85293 86697 87204 87723 88236 90558 91260 92340 93138 93860 94041 94471 94770 95589 96330 97470 98415 98865 100035 100620 104490 106210 109005 110295 113724 115596 116964 118098 118638 120042 122018 123201 124659 125229 125388 126711 127452 130806 131220 131820 132354 133380 135837 136890 138073 138510 139707 140790 142155 144495 145340 146205 147060 150930 155230 156735 159315 164268 166212 166972 168948 170586 173394 175446 177147 177957 180063 181116 183027 186276 188082 188942 189540 191178 192660 194940 196209 196830 197730 198531 200070 201799 205335 207765 208715 208980 211185 212420 218010 220590 226395 232845 236196 237276 240084 244036 246402 249318 250458 253422 255879 260091 261612 263169 264708 271674 273780 276146 277020 279414 281580 282123 283413 284310 286767 288990 292410 295245 296595 300105 301860 305045 310460 313470 318630 327015 330885 341172 346788 350892 354294 355914 360126 366054 369603 373977 375687 376164 377884 380133 382356 392418 393660 395460 397062 400140 403598 407511 410670 414219 415530 417430 419121 422370 426465 433485 436020 438615 441180 452790 465690 470205 472355 477945 492804 498636 500916 506844 511758 520182 526338 533871 540189 543348 549081 552292 558828 564246 566826 568620 573534 577980 584820 588627 590490 593190 595593 600210 605397 610090 616005 623295 626145 626940 633555 637260 654030 661770 679185 690365 698535 708588 711828 720252 732108 739206 747954 751374 760266 767637 780273 784836 789507 793117 794124 807196 815022 821340 828438 831060 834860 838242 844740 846369 850239 852930 860301 866970 877230 885735 889785 900315 905580 915135 931380 940410 944710 955890 981045 992655 1008995 1023516 1040364 1052676 1067742 1080378 1098162 1108809 1121931 1127061 1128492 1133652 1140399 1147068 1177254 1180980 1186380 1191186 1200420 1210794 1220180 1222533 1232010 1242657 1246590 1252290 1257363 1267110 1279395 1300455 1308060 1315845 1323540 1358370 1380730 1397070 1410615 1417065 1433835 1478412 1495908 1502748 1520532 1535274 1560546 1579014 1586234 1601613 1620567 1630044 1647243 1656876 1676484 1692738 1700478 1705860 1720602 1733940 1754460 1765881 1771470 1779570 1786779 1794949 1800630 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41436397665 43230245292 46832765733 47106641556 47664116604 48918435462 49297648140 49723677198 51636126321 52036406370 54037806615 54353817180 54997057620 55248530220 55784180790 57373473690 58883301945 59580145755 62443687644 66941016948 68848168428 70659962334 71496174906 72050408820 73946472210 74585515797 78054609555 78511069260 79440194340 81530725770 82872795330 83676271185 86060210535 93665531466 97836870924 99447354396 103272252642 104072812740 105989943501 108075613230 111568361580 114746947380 117766603890 119160291510 122296088655 124309192995 140498297199 141319924668 142992349812 147892944420 149171031594 154908378963 156109219110 163061451540 165745590660 167352542370 172120421070 176649905835 178740437265 187331062932 206544505284 211979887002 216151226460 223756547391 234163828665 235533207780 238320583020 244592177310 248618385990 258180631605 280996594398 298342063188 309816757926 312218438220 317969830503 334705084740 344240842140 353299811670 357480874530 372927578985 423959774004 447513094782 464725136889 468327657330 489184354620 497236771980 516361263210 529949717505 561993188796 619633515852 635939661006 671269642173 702491485995 706599623340 714961749060 745855157970 774541894815 895026189564 929450273778 936655314660 1032722526420 1059899435010 1118782736955 1271879322012 1342539284346 1404982971990 1491710315940 1549083789630 1589849152515 1858900547556 2013808926519 2119798870020 2237565473910 2323625684445 2685078568692 2809965943980 3098167579260 3179698305030 3356348210865 4027617853038 4475130947820 4647251368890 6041426779557 6359396610060 6712696421730 8055235706076 9294502737780 10069044632595 12082853559114 13425392843460 20138089265190 24165707118228 30207133897785 40276178530380 60414267795570 120828535591140
- Sum of all divisors σ(n): 445274826796800
- Sum of proper divisors (its aliquot sum) s(n): 324446291205660
- 120828535591140 is an abundant number, because the sum of its proper divisors (324446291205660) is greater than itself. Its abundance is 203617755614520
Bases of 120828535591140
- Binary: 110110111100100100101011111000101010000111001002
- Hexadecimal: 0x6DE495F150E4
- Base-36: 16TVV2E290
Squares and roots of 120828535591140
- 120828535591140 squared (1208285355911402) is 14599535013099385709246499600
- 120828535591140 cubed (1208285355911403) is 1764040435944373712291761368710061773544000
-
The
square root of 120828535591140 is 10992203.4001896089 -
The
cube root of 120828535591140 is 49437.5003589859
Scales and comparisons
How big is 120828535591140?- 120,828,535,591,140 seconds is equal to 3,841,973 years, 35 weeks, 4 days, 4 hours, 39 minutes.
-
To count from 1 to 120,828,535,591,140 would take you about nine million, six hundred four thousand, nine hundred 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 120828535591140 cubic inches would be around 4119.8 feet tall.
Recreational maths with 120828535591140
- 120828535591140 backwards is 041195535828021
- 120828535591140 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 120828535591140's digits is 54
- More coming soon!
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"Number 120828535591140 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 120828535591140 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/120828535591140/
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The information we have on file for 120828535591140 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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