106942838269344
106,942,838,269,344 is an even composite number composed of eight prime numbers multiplied together.
What does the number 106942838269344 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
106942838269344 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 106942838269344:
25 × 3 × 72 × 112 × 61 × 79 × 127 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 61 × 79 × 127 × 307)See below for interesting mathematical facts about the number 106942838269344 from the Numbermatics database.
Names of 106942838269344
- Cardinal: 106942838269344 can be written as One hundred six trillion, nine hundred forty-two billion, eight hundred thirty-eight million, two hundred sixty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.06942838269344 × 1014
Factors of 106942838269344
Divisors of 106942838269344
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 61 66 77 79 84 88 96 98 112 121 122 127 132 147 154 158 168 176 183 196 224 231 237 242 244 254 264 294 307 308 316 336 352 363 366 381 392 427 462 474 484 488 508 528 539 553 588 614 616 632 671 672 726 732 762 784 847 854 869 889 921 924 948 968 976 1016 1056 1078 1106 1176 1228 1232 1264 1281 1342 1397 1452 1464 1524 1568 1617 1659 1694 1708 1738 1778 1842 1848 1896 1936 1952 2013 2032 2149 2156 2212 2352 2456 2464 2528 2541 2562 2607 2667 2684 2794 2904 2928 2989 3048 3234 3318 3377 3388 3416 3476 3556 3684 3696 3792 3871 3872 4026 4064 4191 4298 4312 4424 4697 4704 4819 4912 5082 5124 5214 5334 5368 5588 5808 5856 5929 5978 6083 6096 6223 6447 6468 6636 6754 6776 6832 6952 7112 7368 7381 7392 7584 7742 7747 8052 8382 8596 8624 8848 8967 9394 9559 9638 9779 9824 10033 10131 10164 10248 10428 10668 10736 11176 11613 11616 11858 11956 12166 12192 12446 12894 12936 13272 13508 13552 13664 13904 14091 14224 14457 14736 14762 15043 15367 15484 15494 16104 16764 17192 17248 17696 17787 17934 18249 18669 18727 18788 19118 19276 19558 20066 20262 20328 20496 20856 21336 21472 22143 22352 23226 23241 23639 23716 23912 24253 24332 24892 25788 25872 26544 27016 27104 27808 28182 28448 28677 28914 29337 29472 29524 30086 30099 30734 30968 30988 32208 32879 33528 33733 34384 35574 35868 36498 37147 37338 37454 37576 38236 38552 38989 39116 40132 40524 40656 40992 41712 42581 42672 44286 44704 45129 46101 46452 46482 47278 47432 47824 48506 48664 49784 51576 51667 51744 53009 53088 54032 54229 56181 56364 57354 57828 58674 59048 60172 60198 61468 61936 61976 64416 65758 66913 67056 67466 68453 68768 70231 70917 71148 71736 72759 72996 74294 74676 74908 75152 76472 77104 77978 78232 80264 81048 81312 83424 85162 85217 85344 88572 90258 92202 92904 92964 94556 94864 95648 97012 97328 98637 99568 101199 103152 103334 106018 107569 108064 108458 110363 111441 112362 112728 114708 115656 116967 117348 118096 120344 120396 122936 123872 123952 127743 131089 131516 133826 134112 134932 136906 140462 141834 142296 143472 145518 145992 148588 149352 149816 150304 152944 154208 155001 155956 156464 159027 160528 162096 162687 165473 169771 170324 170434 177144 180516 184404 185808 185928 189112 189728 194024 194656 197274 199136 200739 202398 205359 205997 206304 206668 210693 212036 215138 216916 220726 222882 224724 225456 229416 231312 233934 234696 236131 236192 240688 240792 245872 247904 255486 255651 260029 262178 263032 266783 267652 269864 272923 273812 280924 283668 284592 286944 291036 291984 297176 298704 299632 305888 310002 311912 312928 318054 321056 322707 324192 325374 330946 331089 339542 340648 340868 354288 361032 361669 368808 371063 371616 371856 378224 379603 388048 393267 394548 401478 404796 410718 411994 413336 421386 424072 428879 430276 433832 441452 445764 449448 450912 458832 462624 467868 468391 469392 472262 481376 481584 491617 491744 496419 509313 510972 511302 520058 524356 526064 533566 535304 539728 545846 547624 561848 567336 569184 582072 583099 583968 594352 596519 597408 599264 612013 617991 620004 623824 636108 645414 650748 661892 662178 679084 681296 681736 708393 708576 722064 723338 737616 742126 743712 752983 756448 759206 772541 776096 780087 786534 789096 800349 802956 809592 818769 821436 823988 826672 842772 848144 857758 860552 867664 882904 891528 898896 917623 917664 935736 936782 937387 938784 944524 963168 983234 992838 1018626 1021944 1022604 1040116 1048712 1052128 1067132 1070608 1079456 1085007 1091692 1095248 1113189 1123696 1134672 1138809 1164144 1166198 1188397 1188704 1193038 1213993 1224026 1235982 1240008 1247648 1272216 1286637 1290828 1301496 1323784 1324356 1358168 1362592 1363472 1405173 1416786 1441979 1444128 1446676 1474851 1475232 1479433 1484252 1505966 1518412 1545082 1560174 1573068 1578192 1600698 1605912 1619184 1637538 1642872 1647976 1653344 1685544 1696288 1715516 1721104 1735328 1749297 1765808 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699228726 711510261 713827884 716045572 719727288 732525332 734911408 745391702 751551964 754000016 761364912 781140624 792568392 797414387 799118544 813154584 815803296 837171808 862776222 863333427 869906604 888259064 888642876 905558514 911330728 914299232 924663124 932304968 948680348 951770512 959636384 969009888 986029968 989625021 994178976 1008723408 1034924016 1036750022 1056757856 1074068358 1084206112 1098787998 1102367112 1118087553 1127327946 1131000024 1150368296 1151111236 1159875472 1184857168 1207411352 1253079751 1254947232 1255757712 1281919331 1315215937 1319500028 1332388596 1366996092 1371448848 1386994686 1398457452 1423020522 1427655768 1432091144 1439454576 1465050664 1469822816 1490783404 1503103928 1508000032 1522729824 1555125033 1562281248 1585136784 1594828774 1598237088 1626309168 1660190609 1725552444 1726666854 1739813208 1776518128 1777285752 1811117028 1822661456 1849326248 1864609936 1897360696 1903541024 1972059936 1979250042 2014444663 2017446816 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7244468112 7257250154 7397304992 7518478506 7589442784 7691515986 7826612871 7891295622 7917000168 8057778652 8267071604 8294000176 8592546864 8771558257 8790303984 8944700424 9018623568 9206511559 9208889888 9568972644 9961143654 10024638008 10255354648 10435483828 10521727496 10556000224 10659108768 10885875231 10935968736 11095957488 11187659616 11384164176 11926267232 12086667978 12400607406 12441000264 12758630192 13281524872 13804419552 13813334832 14101112641 14467375307 14488936224 14514500308 15036957012 15383031972 15653225742 15782591244 15834000336 16115557304 16534143208 16588000352 17185093728 17543116514 17580607968 17889400848 18037247136 18262096699 18413023118 19137945288 19922287308 20049276016 20510709296 20870967656 21043454992 21771750462 22191914976 22734446911 22768328352 24173335956 24801214812 24882000528 25517260384 26314674771 26563049744 27619534677 27626669664 28202225282 28934750614 29029000616 30073914024 30766063944 31306451484 31565182488 31668000672 32231114608 33068286416 35086233028 35778801696 36524193398 36826046236 38275890576 39844574616 40098552032 41021418592 41741935312 42086909984 42303337923 43402125921 43543500924 45468893822 48346671912 49602429624 49764001056 52629349542 53126099488 54786290097 55239069354 56404450564 57869501228 58058001232 60147828048 61532127888 62612902968 63130364976 64462229216 66136572832 68203340733 70172466056 73048386796 73652092472 76551781152 79689149232 83483870624 84606675846 86804251842 87087001848 90937787644 96693343824 99204859248 101271627149 105258699084 109572580194 110478138708 112808901128 115739002456 116116002464 120295656096 123064255776 125225805936 126260729952 136406681466 140344932112 146096773592 147304184944 159141128377 159378298464 169213351692 173608503684 174174003696 181875575288 193386687648 198409718496 202543254298 210517398168 219145160388 220956277416 225617802256 231478004912 250451611872 272813362932 280689864224 292193547184 294608369888 303814881447 318282256754 338426703384 347217007368 348348007392 363751150576 405086508596 421034796336 438290320776 441912554832 451235604512 462956009824 477423385131 545626725864 584387094368 607629762894 636564513508 676853406768 694434014736 727502301152 810173017192 842069592672 876580641552 883825109664 954846770262 1091253451728 1113987898639 1215259525788 1273129027016 1353706813536 1388868029472 1620346034384 1753161283104 1909693540524 2182506903456 2227975797278 2430519051576 2546258054032 3240692068768 3341963695917 3819387081048 4455951594556 4861038103152 5092516108064 6683927391834 7638774162096 8911903189112 9722076206304 13367854783668 15277548324192 17823806378224 26735709567336 35647612756448 53471419134672 106942838269344
- Sum of all divisors σ(n): 373567770132480
- Sum of proper divisors (its aliquot sum) s(n): 266624931863136
- 106942838269344 is an abundant number, because the sum of its proper divisors (266624931863136) is greater than itself. Its abundance is 159682093593792
Bases of 106942838269344
- Binary: 110000101000011100100011110001011100101101000002
- Hexadecimal: 0x614391E2E5A0
- Base-36: 11WOV0Q1EO
Squares and roots of 106942838269344
- 106942838269344 squared (1069428382693442) is 11436770657103067589090190336
- 106942838269344 cubed (1069428382693443) is 1223080714706152462349891429207921793859584
-
The
square root of 106942838269344 is 10341317.0471339867 -
The
cube root of 106942838269344 is 47466.1384919555
Scales and comparisons
How big is 106942838269344?- 106,942,838,269,344 seconds is equal to 3,400,451 years, 23 weeks, 6 days, 19 hours, 42 minutes, 24 seconds.
-
To count from 1 to 106,942,838,269,344 would take you about eight million, five hundred one thousand, one hundred twenty-eight 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 106942838269344 cubic inches would be around 3955.5 feet tall.
Recreational maths with 106942838269344
- 106942838269344 backwards is 443962838249601
- The number of decimal digits it has is: 15
- The sum of 106942838269344's digits is 69
- More coming soon!
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"Number 106942838269344 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 106942838269344 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/106942838269344/
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The information we have on file for 106942838269344 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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