135684979446016
135,684,979,446,016 is an even composite number composed of six prime numbers multiplied together.
135684979446016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 135684979446016:
28 × 72 × 112 × 132 × 307 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 13 × 13 × 307 × 1723)See below for interesting mathematical facts about the number 135684979446016 from the Numbermatics database.
Names of 135684979446016
- Cardinal: 135684979446016 can be written as One hundred thirty-five trillion, six hundred eighty-four billion, nine hundred seventy-nine million, four hundred forty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.35684979446016 × 1014
Factors of 135684979446016
Divisors of 135684979446016
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 77 88 91 98 104 112 121 128 143 154 169 176 182 196 208 224 242 256 286 307 308 338 352 364 392 416 448 484 539 572 614 616 637 676 704 728 784 832 847 896 968 1001 1078 1144 1183 1228 1232 1274 1352 1408 1456 1568 1573 1664 1694 1723 1792 1859 1936 2002 2149 2156 2288 2366 2456 2464 2548 2704 2816 2912 3136 3146 3328 3377 3388 3446 3718 3872 3991 4004 4298 4312 4576 4732 4912 4928 5096 5408 5824 5929 6272 6292 6754 6776 6892 7007 7436 7744 7982 8008 8281 8596 8624 9152 9464 9824 9856 10192 10816 11011 11648 11858 12061 12544 12584 13013 13508 13552 13784 14014 14872 15043 15488 15964 16016 16562 17192 17248 18304 18928 18953 19648 19712 20384 20449 21632 22022 22399 23296 23639 23716 24122 25168 26026 27016 27104 27568 27937 28028 29744 30086 30976 31928 32032 33124 34384 34496 36608 37147 37856 37906 39296 40768 40898 43264 43901 44044 44798 47278 47432 48244 50336 51883 52052 54032 54208 55136 55874 56056 59488 60172 63856 64064 66248 68768 68992 74294 75712 75812 77077 78592 81536 81796 84427 87802 88088 89596 91091 94556 94864 96488 100672 103766 104104 108064 108416 110272 111748 112112 118976 120344 127712 128128 132496 132671 137536 137984 143143 148588 151424 151624 154154 156793 163072 163592 165473 168854 175604 176176 179192 182182 189112 189728 192976 195559 201344 207532 208208 208483 216128 216832 220544 223496 224224 237952 240688 246389 255424 256256 260029 264992 265342 275072 286286 291187 297176 302848 303248 307307 308308 313586 327184 330946 337708 351208 352352 358384 363181 364364 378224 379456 385952 391118 402688 415064 416416 416966 432256 441088 446992 448448 475904 481376 482911 492778 510848 520058 528961 529984 530684 550144 570713 572572 582374 594352 606496 614614 616616 627172 654368 661892 675416 702416 704704 716768 726362 728728 756448 758912 771904 782236 830128 832832 833932 864512 893984 896896 928697 962752 965822 985556 1002001 1021696 1040116 1057922 1059968 1061368 1097551 1141426 1145144 1164748 1188704 1212992 1229228 1233232 1254344 1308736 1323784 1350832 1404832 1409408 1433536 1452724 1457456 1459381 1512896 1517824 1543808 1564472 1660256 1665664 1667864 1724723 1787968 1793792 1820203 1857394 1925504 1931644 1971112 2004002 2038309 2080232 2115844 2119936 2122736 2151149 2195102 2282852 2290288 2329496 2377408 2425984 2458456 2466464 2508688 2542267 2617472 2647568 2701664 2710279 2809664 2818816 2867072 2905448 2914912 2918762 3025792 3087616 3128944 3203057 3320512 3331328 3335728 3380377 3449446 3575936 3640406 3702727 3714788 3851008 3863288 3942224 3994991 4008004 4076618 4160464 4231688 4245472 4302298 4390204 4565704 4580576 4658992 4754816 4851968 4916912 4932928 5017376 5084534 5234944 5295136 5403328 5420558 5619328 5734144 5810896 5818571 5829824 5837524 6051584 6257888 6277843 6406114 6641024 6671456 6760754 6876493 6898892 7151872 7280812 7405454 7429576 7726576 7884448 7989982 8016008 8153236 8320928 8463376 8490944 8604596 8780408 9131408 9161152 9317984 9509632 9833824 9865856 10034752 10169068 10215667 10590272 10806656 10841116 11238656 11621792 11637142 11659648 11675048 12073061 12515776 12555686 12812228 13282048 13342912 13521508 13752986 13797784 14268163 14561624 14810908 14859152 15453152 15768896 15979964 16032016 16306472 16641856 16926752 16981888 17209192 17560816 18262816 18322304 18635968 18971953 19667648 19731712 20069504 20338136 20431334 21180544 21613312 21682232 22421399 23243584 23274284 23319296 23350096 23662639 24146122 25031552 25111372 25624456 25919089 26685824 27043016 27505972 27595568 27964937 28536326 29123248 29621816 29718304 30906304 31537792 31959928 32064032 32612944 33283712 33853504 33963776 34418384 35121632 35233627 36525632 36644608 37271936 37943906 39335296 40139008 40676272 40729997 40862668 42361088 43364464 43944901 44842798 46487168 46548568 46700192 47325278 48135451 48292244 50063104 50222744 51248912 51838178 53371648 54086032 55011944 55191136 55929874 57072652 58246496 59243632 59436608 61812608 63075584 63919856 64004281 64128064 65225888 66567424 67707008 68836768 70243264 70467254 73051264 74543872 75641423 75887812 78670592 81352544 81459994 81725336 86728928 87889802 89394409 89685596 92974336 93097136 93400384 94650556 96270902 96584488 100445488 102497824 103676356 108172064 110023888 110382272 111859748 114145304 116492992 118487264 118873216 123625216 127839712 128008562 128256128 130451776 132803671 135414016 137673536 140486528 140934508 146102528 151282846 151775624 156949793 162705088 162919988 163450672 173457856 175779604 178788818 179371192 186194272 186800768 189301112 192541804 193168976 200890976 204995648 207352712 216344128 220047776 220764544 223719496 228290608 232985984 236974528 237746432 246635389 255679424 256017124 256512256 260903552 265607342 275347072 280973056 281869016 285109979 302565692 303551248 307614307 313899586 325410176 325839976 326901344 336948157 346915712 351559208 357577636 358742384 372388544 373601536 378602224 385083608 386337952 401781952 409991296 414705424 432688256 440095552 441529088 447438992 448029967 456581216 465971968 473949056 493270778 511358848 512034248 521807104 529489961 531214684 550694144 563738032 570219958 605131384 607102496 615228614 625760863 627799172 650820352 651679952 653802688 673896314 693831424 703118416 715155272 717484768 744777088 757204448 770167216 772675904 803563904 819982592 829410848 832055653 865376512 880191104 894877984 896059934 913162432 947898112 983338499 986541556 1022717696 1024068496 1058979922 1062429368 1127476064 1140439916 1210262768 1214204992 1230457228 1251521726 1255598344 1303359904 1307605376 1347792628 1406236832 1430310544 1434969536 1489554176 1514408896 1540334432 1545351808 1607127808 1658821696 1664111306 1726447723 1760382208 1789755968 1792119868 1826324864 1966676998 1973083112 2048136992 2117959844 2124858736 2254952128 2280879832 2420525536 2428409984 2460914456 2503043452 2511196688 2606719808 2615210752 2695585256 2812473664 2860621088 2869939072 3028817792 3080668864 3090703616 3136209769 3317643392 3328222612 3452895446 3579511936 3584239736 3652649728 3706429727 3933353996 3946166224 4096273984 4235919688 4249717472 4380326041 4509904256 4561759664 4841051072 4856819968 4921828912 5006086904 5022393376 5213439616 5391170512 5624947328 5721242176 5739878144 5824389571 6057635584 6161337728 6272419538 6635286784 6656445224 6883369493 6905790892 7159023872 7168479472 7412859454 7866707992 7892332448 8192547968 8471839376 8499434944 8760652082 9019808512 9123519328 9682102144 9843657824 10012173808 10044786752 10426879232 10782341024 10816723489 11249894656 11442484352 11648779142 12322675456 12544839076 13312890448 13766738986 13811581784 14336958944 14825718908 15733415984 15784664896 16385095936 16943678752 16998869888 17521304164 18247038656 19364204288 19687315648 20024347616 20089573504 21564682048 21633446978 22884968704 23297558284 25089678152 26625780896 27533477972 27623163568 28673917888 29651437816 31466831968 31569329792 33887357504 33997739776 35042608328 36494077312 39374631296 40048695232 40179147008 40770726997 43129364096 43266893956 46595116568 48183586451 50179356304 53251561792 55066955944 55246327136 57347835776 59302875632 62933663936 63138659584 67774715008 70085216656 72988154624 75717064423 78749262592 80097390464 81541453994 86258728192 86533787912 93190233136 96367172902 100358712608 106503123584 110133911888 110492654272 114695671552 118605751264 125867327872 135549430016 140170433312 151434128846 160194780928 163082907988 173067575824 186380466272 192734345804 200717425216 213006247168 220267823776 220985308544 237211502528 251734655744 280340866624 302868257692 326165815976 346135151648 372760932544 385468691608 401434850432 440535647552 441970617088 474423005056 530019450961 560681733248 605736515384 652331631952 692270303296 745521865088 770937383216 802869700864 881071295104 948846010112 1060038901922 1121363466496 1211473030768 1304663263904 1384540606592 1491043730176 1541874766432 1762142590208 2120077803844 2422946061536 2609326527808 2769081213184 3083749532864 4240155607688 4845892123072 5218653055616 6167499065728 8480311215376 9691784246144 10437306111232 12334998131456 16960622430752 19383568492288 33921244861504 67842489723008 135684979446016
- Sum of all divisors σ(n): 376431938766576
- Sum of proper divisors (its aliquot sum) s(n): 240746959320560
- 135684979446016 is an abundant number, because the sum of its proper divisors (240746959320560) is greater than itself. Its abundance is 105061979874544
Bases of 135684979446016
- Binary: 111101101100111100111110000000001010001000000002
- Hexadecimal: 0x7B679F005100
- Base-36: 1C3GTHH9TS
Squares and roots of 135684979446016
- 135684979446016 squared (1356849794460162) is 18410413647265784386258272256
- 135684979446016 cubed (1356849794460163) is 2498016597321910415166877648453012182532096
-
The
square root of 135684979446016 is 11648389.5644855561 -
The
cube root of 135684979446016 is 51385.8949126399
Scales and comparisons
How big is 135684979446016?- 135,684,979,446,016 seconds is equal to 4,314,362 years, 33 weeks, 3 days, 20 hours, 20 minutes, 16 seconds.
-
To count from 1 to 135,684,979,446,016 would take you about ten million, seven hundred eighty-five thousand, nine hundred six 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 135684979446016 cubic inches would be around 4282.2 feet tall.
Recreational maths with 135684979446016
- 135684979446016 backwards is 610644979486531
- The number of decimal digits it has is: 15
- The sum of 135684979446016's digits is 73
- More coming soon!
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The information we have on file for 135684979446016 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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