13028214001920
13,028,214,001,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13028214001920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
13028214001920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13028214001920:
28 × 3 × 5 × 132 × 23 × 41 × 61 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 23 × 41 × 61 × 349)See below for interesting mathematical facts about the number 13028214001920 from the Numbermatics database.
Names of 13028214001920
- Cardinal: 13028214001920 can be written as Thirteen trillion, twenty-eight billion, two hundred fourteen million, one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.302821400192 × 1013
Factors of 13028214001920
Divisors of 13028214001920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 41 46 48 52 60 61 64 65 69 78 80 82 92 96 104 115 120 122 123 128 130 138 156 160 164 169 183 184 192 195 205 208 230 240 244 246 256 260 276 299 305 312 320 328 338 345 349 366 368 384 390 410 416 460 480 488 492 507 520 533 552 598 610 615 624 640 656 676 690 698 732 736 768 780 793 820 832 845 897 915 920 943 960 976 984 1014 1040 1047 1066 1104 1196 1220 1230 1248 1280 1312 1352 1380 1396 1403 1464 1472 1495 1560 1586 1599 1640 1664 1690 1745 1794 1830 1840 1886 1920 1952 1968 2028 2080 2094 2132 2208 2379 2392 2440 2460 2496 2501 2535 2624 2665 2704 2760 2792 2806 2829 2928 2944 2990 3120 3172 3198 3280 3328 3380 3490 3588 3660 3680 3772 3840 3887 3904 3936 3965 4056 4160 4188 4209 4264 4416 4485 4537 4715 4758 4784 4880 4920 4992 5002 5070 5235 5248 5330 5408 5520 5584 5612 5658 5856 5888 5980 6240 6344 6396 6560 6760 6929 6980 7015 7176 7320 7360 7503 7544 7774 7808 7872 7930 7995 8027 8112 8320 8376 8418 8528 8832 8970 9074 9430 9516 9568 9760 9840 9984 10004 10140 10309 10470 10496 10660 10816 11040 11168 11224 11316 11661 11712 11895 11960 12259 12480 12505 12688 12792 13120 13520 13611 13858 13960 14030 14145 14309 14352 14640 14720 15006 15088 15548 15616 15744 15860 15990 16054 16224 16640 16752 16836 17056 17664 17940 18148 18239 18860 19032 19136 19435 19520 19680 20008 20280 20618 20787 20940 21045 21289 21320 21632 22080 22336 22448 22632 22685 23322 23424 23790 23920 24081 24518 24960 25010 25376 25584 26240 27040 27222 27716 27920 28060 28290 28618 28704 29280 29440 30012 30176 30927 31096 31488 31720 31980 32108 32448 32513 33504 33672 34112 34645 35880 36296 36478 36777 37515 37720 38064 38272 38870 39040 39360 40016 40135 40560 41236 41574 41880 42090 42578 42640 42927 43264 44160 44672 44896 45264 45370 46644 46848 47580 47840 48162 49036 49920 50020 50752 51168 51545 52480 54080 54444 54717 55432 55840 56120 56580 57236 57408 57523 58305 58560 58981 60024 60352 61295 61854 62192 63440 63867 63960 64216 64896 65026 67008 67344 68055 68224 69290 71545 71760 72592 72956 73554 75030 75440 76128 76544 77740 78080 78720 80032 80270 81120 82472 83148 83760 84180 85156 85280 85854 88320 89344 89792 90528 90740 91195 93288 95160 95680 96324 97539 98072 100040 101504 102336 103090 103935 104351 106445 108160 108888 109434 110864 111680 112240 113160 114472 114816 115046 116610 117120 117962 120048 120405 120704 122590 123708 124384 126880 127734 127920 128432 129792 130052 134016 134688 136110 136448 138580 143090 143520 145184 145912 147108 150060 150880 152256 154635 155480 157440 159367 160064 160540 162240 162565 164944 166296 167520 168360 170312 170560 171708 172569 176943 179584 181056 181480 182390 183885 186017 186576 190320 191360 192648 195078 196144 200080 203008 204672 206180 207870 208702 212890 214635 216320 217776 218868 221728 223360 224480 226320 228944 229632 230092 233220 234240 235924 237107 240096 240810 241408 245180 247416 248768 253760 255468 255840 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116656644 117515280 119050880 119647840 120453162 122393856 124849920 125349632 126377088 127308220 128351730 130230048 132843360 133569280 135254080 136164444 136908512 139655840 142861056 143577408 143913640 145093260 145820805 147511481 151748480 152769864 152992320 154766144 155542192 156687040 157971360 160604216 162304896 162787560 165500686 166857249 167587008 170205555 171135640 172696368 173640064 177124480 178576320 179471760 181552592 182098176 188024448 190962330 191436544 193457680 194427740 200353920 200755270 202881120 203693152 203989760 205362768 209483760 210628480 212549376 215870460 217050080 220888320 222476332 223449344 226487040 226940740 227622720 230261824 232149216 233313288 235030560 238101760 239295680 240906324 248251029 252754176 254616440 256703460 260460096 260981851 265686720 270508160 272328888 273817024 278095415 279311680 287154816 287827280 290186520 291641610 295022962 301132905 303496960 305539728 305984640 309532288 311084384 313374080 315942720 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4073863040 4107255360 4175709616 4357262208 4425344430 4449526640 4605236480 4642984320 4666265760 4720367392 4818126480 4888635648 4965020580 5139334912 5209201920 5219637020 5296021952 5339431968 5446577760 5476340480 5900459240 6110794560 6221687680 6263564424 6424168640 6620027440 6674289960 6785528126 6907854720 7080551088 7119242624 7262103680 7466025216 7709002368 7829455530 7944032928 8147726080 8214510720 8351419232 8714524416 8850688860 8899053280 9285968640 9332531520 9440734784 9636252960 9930041160 10178292189 10439274040 10592043904 10678863936 10893155520 11800918480 12221589120 12443375360 12527128848 12848337280 13240054880 13348579920 13571056252 13815709440 14161102176 14238485248 14524207360 15418004736 15658911060 15888065856 16429021440 16702838464 16963820315 17701377720 17798106560 18665063040 18881469568 19272505920 19860082320 20356584378 20878548080 21184087808 21357727872 21786311040 23601836960 24443178240 25054257696 25696674560 26480109760 26697159840 27142112504 28322204352 31317822120 31776131712 33405676928 33927640630 35402755440 35596213120 37330126080 37762939136 38545011840 39720164640 40713168756 41757096160 42715455744 43572622080 47203673920 50108515392 50891460945 52960219520 53394319680 54284225008 56644408704 62635644240 63552263424 66811353856 67855281260 70805510880 71192426240 77090023680 79440329280 81426337512 83514192320 94407347840 100217030784 101782921890 105920439040 106788639360 108568450016 113288817408 125271288480 135710562520 141611021760 158880658560 162852675024 167028384640 188814695680 200434061568 203565843780 213577278720 217136900032 250542576960 271421125040 283222043520 317761317120 325705350048 334056769280 407131687560 434273800064 501085153920 542842250080 566444087040 651410700096 814263375120 868547600128 1002170307840 1085684500160 1302821400192 1628526750240 2171369000320 2605642800384 3257053500480 4342738000640 6514107000960 13028214001920
- Sum of all divisors σ(n): 49091182963200
- Sum of proper divisors (its aliquot sum) s(n): 36062968961280
- 13028214001920 is an abundant number, because the sum of its proper divisors (36062968961280) is greater than itself. Its abundance is 23034754959360
Bases of 13028214001920
- Binary: 101111011001010111100001000101010001000000002
- Hexadecimal: 0xBD95E115100
- Base-36: 4M92U8KQO
Squares and roots of 13028214001920
- 13028214001920 squared (130282140019202) is 169734360079824341763686400
- 13028214001920 cubed (130282140019203) is 2211335566598898578259706584275877888000
-
The
square root of 13028214001920 is 3609461.7329901145 -
The
cube root of 13028214001920 is 23530.3449864461
Scales and comparisons
How big is 13028214001920?- 13,028,214,001,920 seconds is equal to 414,256 years, 47 weeks, 21 hours, 52 minutes.
-
To count from 1 to 13,028,214,001,920 would take you about one million, thirty-five thousand, six hundred forty-two 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 13028214001920 cubic inches would be around 1960.9 feet tall.
Recreational maths with 13028214001920
- 13028214001920 backwards is 02910041282031
- The number of decimal digits it has is: 14
- The sum of 13028214001920's digits is 33
- More coming soon!
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Cite this page
MLA style:
"Number 13028214001920 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13028214001920 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13028214001920/
Chicago style:
Numbermatics. 2024. "Number 13028214001920 - Facts about the integer". https://numbermatics.com/n/13028214001920/
The information we have on file for 13028214001920 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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