107332144188881920
107,332,144,188,881,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 107332144188881920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
107332144188881920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 107332144188881920:
210 × 5 × 72 × 11 × 532 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 53 × 53 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 107332144188881920 from the Numbermatics database.
Names of 107332144188881920
- Cardinal: 107332144188881920 can be written as One hundred seven quadrillion, three hundred thirty-two trillion, one hundred forty-four billion, one hundred eighty-eight million, eight hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0733214418888192 × 1017
Factors of 107332144188881920
Divisors of 107332144188881920
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 53 55 56 61 64 70 77 80 88 98 106 110 112 122 128 140 154 160 176 196 212 220 224 244 245 256 265 280 305 308 320 352 371 385 392 424 427 440 448 488 490 512 530 539 560 583 610 616 640 671 704 742 770 784 848 854 880 896 976 980 1024 1060 1078 1120 1166 1220 1232 1280 1342 1408 1484 1540 1568 1696 1708 1760 1792 1855 1952 1960 2120 2135 2156 2240 2332 2440 2464 2560 2597 2684 2695 2809 2816 2915 2968 2989 3080 3136 3233 3355 3392 3416 3520 3584 3710 3721 3904 3920 4081 4240 4270 4312 4480 4664 4697 4880 4928 5120 5194 5368 5390 5618 5632 5830 5936 5978 6160 6272 6466 6710 6784 6832 7040 7168 7420 7442 7808 7840 8162 8480 8540 8624 8960 9328 9394 9760 9856 10388 10736 10780 11236 11264 11660 11872 11956 12320 12544 12932 12985 13420 13568 13664 14045 14080 14840 14884 14945 15616 15680 16165 16324 16960 17080 17248 17920 18605 18656 18788 19520 19663 19712 20405 20776 21472 21560 22472 22631 23320 23485 23744 23912 24640 25088 25864 25970 26047 26840 27136 27328 28090 28160 28567 29680 29768 29890 30899 31232 31360 32330 32648 32879 33920 34160 34496 35563 35840 37210 37312 37576 39040 39326 39424 40810 40931 41552 42944 43120 44944 45262 46640 46970 47488 47824 49280 50176 51728 51940 52094 53680 54272 54656 56180 56320 57134 59360 59536 59780 61798 62464 62720 64660 65296 65758 67840 68320 68992 71126 74420 74624 75152 78080 78652 78848 81620 81862 83104 85888 86240 89888 90524 93280 93940 94976 95648 98315 98560 103456 103880 104188 107360 109312 112360 113155 114268 118720 119072 119560 123596 125440 129320 130235 130592 131516 135680 136640 137641 137984 142252 142835 148840 149248 150304 154495 156160 157304 158417 163240 163724 164395 166208 171349 171776 172480 177815 179776 181048 182329 186560 187880 189952 191296 196630 197120 197213 204655 206912 207760 208376 214720 216293 218624 224720 226310 226981 228536 237440 238144 239120 247192 248941 250880 258640 260470 261184 263032 271360 273280 275282 275968 284504 285670 286517 297680 298496 300608 308990 312320 314608 316834 326480 327448 328790 332416 342698 343552 344960 355630 359552 362096 364658 373120 375760 379904 382592 393260 394240 394426 409310 413824 415520 416752 429440 432586 437248 449440 452620 453962 457072 474880 476288 478240 494384 497882 517280 520940 522368 526064 546560 550564 551936 569008 571340 573034 595360 596992 601216 617980 629216 633668 652960 654896 657580 664832 685396 687104 688205 689920 711260 719104 724192 729316 746240 751520 765184 786520 788852 792085 818620 827648 831040 833504 856745 858880 865172 898880 905240 907924 911645 914144 949760 952576 956480 986065 988768 995764 1034560 1041880 1044736 1052128 1081465 1093120 1101128 1134905 1138016 1142680 1146068 1190720 1199443 1202432 1235960 1244705 1258432 1267336 1305920 1309792 1315160 1329664 1370792 1376410 1379840 1380491 1422520 1432585 1438208 1448384 1458632 1492480 1503040 1514051 1530368 1573040 1577704 1584170 1588867 1637240 1655296 1662080 1667008 1713490 1717760 1730344 1742587 1797760 1810480 1815848 1823290 1828288 1884839 1899520 1905152 1912960 1972130 1977536 1991528 2005619 2069120 2083760 2089472 2104256 2162930 2169343 2186240 2202256 2269810 2276032 2285360 2292136 2381440 2398886 2404864 2471920 2489410 2496791 2516864 2534672 2611840 2619584 2630320 2659328 2741584 2752820 2759680 2760982 2845040 2865170 2876416 2896768 2917264 2984960 3006080 3028102 3060736 3146080 3155408 3168340 3177734 3274480 3310592 3324160 3334016 3426980 3435520 3460688 3485174 3595520 3620960 3631696 3646580 3656576 3769678 3810304 3825920 3944260 3955072 3983056 4011238 4138240 4167520 4178944 4208512 4325860 4338686 4404512 4539620 4552064 4570720 4584272 4762880 4797772 4809728 4943840 4978820 4993582 5033728 5069344 5223680 5239168 5260640 5483168 5505640 5521964 5690080 5730340 5793536 5834528 5997215 6012160 6056204 6292160 6310816 6336680 6355468 6548960 6648320 6668032 6853960 6902455 6921376 6970348 7191040 7241920 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626394926080 645770024240 652891780096 655567566080 657511297408 677529205760 682323044480 687321620062 694728918016 714100384480 719152981540 721124322688 751441482752 754521160960 777859347380 779797765120 785510422928 791068279694 816114725120 821889121760 824142083072 829973277056 855645282118 868411147520 897726197632 901405403360 904078033936 939301853440 948540888064 955252262272 981888028660 999740538272 1030177603840 1033232038784 1037466596320 1089003086332 1091716871168 1122157747040 1130097542420 1142560615168 1150644770464 1185676110080 1194065327840 1244574955808 1249675672840 1291540048480 1311135132160 1315022594816 1361253857915 1364646088960 1374643240124 1428200768960 1438305963080 1442248645376 1509042321920 1555718694760 1571020845856 1582136559388 1632229450240 1643778243520 1659946554112 1711290564236 1718304050155 1736822295040 1795452395264 1802810806720 1808156067872 1878603706880 1905755401081 1910504524544 1963776057320 1977670699235 1999481076544 2060355207680 2066464077568 2074933192640 2139113205295 2178006172664 2244315494080 2260195084840 2285121230336 2301289540928 2371352220160 2388130655680 2489149911616 2499351345680 2583080096960 2622270264320 2630045189632 2722507715830 2729292177920 2749286480248 2856401537920 2876611926160 2884497290752 2994758487413 3018084643840 3111437389520 3142041691712 3164273118776 3264458900480 3287556487040 3319893108224 3422581128472 3436608100310 3473644590080 3590904790528 3605621613440 3616312135744 3757207413760 3811510802162 3821009049088 3927552114640 3955341398470 3998962153088 4120710415360 4132928155136 4149866385280 4278226410590 4356012345328 4488630988160 4520390169680 4570242460672 4602579081856 4742704440320 4776261311360 4978299823232 4998702691360 5166160193920 5260090379264 5445015431660 5458584355840 5498572960496 5712803075840 5753223852320 5768994581504 5989516974826 6222874779040 6284083383424 6328546237552 6575112974080 6639786216448 6845162256944 6873216200620 7181809581056 7211243226880 7232624271488 7623021604324 7642018098176 7855104229280 7910682796940 7997924306176 8265856310272 8299732770560 8556452821180 8712024690656 8977261976320 9040780339360 9205158163712 9528777005405 9552522622720 9956599646464 9997405382720 10332320387840 10890030863320 10997145920992 11425606151680 11506447704640 11979033949652 12445749558080 12568166766848 12657092475104 13150225948160 13690324513888 13746432401240 14422486453760 14465248542976 14973792437065 15246043208648 15710208458560 15821365593880 15995848612352 16599465541120 17112905642360 17424049381312 17954523952640 18081560678720 18410316327424 19057554010810 19105045245440 19913199292928 19994810765440 20664640775680 20963309411891 21780061726640 21994291841984 22851212303360 23012895409280 23958067899304 24891499116160 25136333533696 25314184950208 26300451896320 27380649027776 27492864802480 28844972907520 28930497085952 29947584874130 30492086417296 31420416917120 31642731187760 31991697224704 33198931082240 34225811284720 34848098762624 35909047905280 36163121357440 36820632654848 38115108021620 38210090490880 39826398585856 39989621530880 41329281551360 41926618823782 43560123453280 43988583683968 46025790818560 47916135798608 49782998232320 50272667067392 50628369900416 54761298055552 54985729604960 57860994171904 59895169748260 60984172834592 62840833834240 63285462375520 68451622569440 69696197525248 72326242714880 76230216043240 79979243061760 83853237647564 87120246906560 87977167367936 92051581637120 95832271597216 99565996464640 101256739800832 104816547059455 109522596111104 109971459209920 119790339496520 121968345669184 125681667668480 126570924751040 136903245138880 139392395050496 144652485429760 152460432086480 159958486123520 167706475295128 174240493813120 175954334735872 184103163274240 191664543194432 199131992929280 202513479601664 209633094118910 219045192222208 219942918419840 239580678993040 243936691338368 251363335336960 253141849502080 273806490277760 278784790100992 289304970859520 304920864172960 335412950590256 348480987626240 351908669471744 383329086388864 405026959203328 419266188237820 438090384444416 439885836839680 479161357986080 487873382676736 506283699004160 547612980555520 609841728345920 670825901180512 696961975252480 766658172777728 838532376475640 879771673679360 958322715972160 975746765353472 1012567398008320 1095225961111040 1219683456691840 1341651802361024 1393923950504960 1533316345555456 1677064752951280 1759543347358720 1916645431944320 1951493530706944 2025134796016640 2190451922222080 2439366913383680 2683303604722048 3066632691110912 3354129505902560 3833290863888640 4878733826767360 5366607209444096 6708259011805120 7666581727777280 9757467653534720 10733214418888192 13416518023610240 15333163455554560 21466428837776384 26833036047220480 53666072094440960 107332144188881920
- Sum of all divisors σ(n): 338566876538262120
- Sum of proper divisors (its aliquot sum) s(n): 231234732349380200
- 107332144188881920 is an abundant number, because the sum of its proper divisors (231234732349380200) is greater than itself. Its abundance is 123902588160498280
Bases of 107332144188881920
- Binary: 1011111010101001000000100001101110101101111111100000000002
- Hexadecimal: 0x17D5204375BFC00
- Base-36: TCU2IC87X8G
Squares and roots of 107332144188881920
- 107332144188881920 squared (1073321441888819202) is 11520189176182938908549339702886400
- 107332144188881920 cubed (1073321441888819203) is 1236486605741264019636272332384623998255012773888000
-
The
square root of 107332144188881920 is 327615848.5007737229 -
The
cube root of 107332144188881920 is 475236.6601871307
Scales and comparisons
How big is 107332144188881920?- 107,332,144,188,881,920 seconds is equal to 3,412,830,185 years, 4 weeks, 3 days, 7 hours, 38 minutes, 40 seconds.
-
To count from 1 to 107,332,144,188,881,920 would take you about ten billion, two hundred thirty-eight million, four hundred ninety thousand, five hundred fifty-five 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 107332144188881920 cubic inches would be around 39603.1 feet tall.
Recreational maths with 107332144188881920
- 107332144188881920 backwards is 029188881441233701
- 107332144188881920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107332144188881920's digits is 70
- More coming soon!
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The information we have on file for 107332144188881920 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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