135141446648135680

Names of 135141446648135680

• Cardinal: 135141446648135680 can be written as One hundred thirty-five quadrillion, one hundred forty-one trillion, four hundred forty-six billion, six hundred forty-eight million, one hundred thirty-five thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3514144664813568 × 10¹⁷

Factors of 135141446648135680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 61980

Divisors of 135141446648135680

• Number of divisors d(n): 1088
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 32 34 40 41 53 64 68 80 82 85 106 128 136 160 164 170 181 205 212 256 265 272 320 328 340 362 410 424 512 530 544 640 656 680 697 724 820 848 901 905 1024 1060 1088 1280 1312 1360 1394 1448 1640 1696 1802 1810 2048 2120 2173 2176 2560 2624 2720 2788 2896 3077 3280 3392 3485 3604 3620 4096 4240 4346 4352 4505 5120 5248 5440 5576 5792 6154 6560 6784 6970 7208 7240 7421 8192 8480 8692 8704 9010 9593 10240 10496 10865 10880 11152 11584 12308 13120 13568 13940 14416 14480 14842 15385 16384 16960 17384 17408 18020 19186 20480 20992 21730 21760 22304 23168 24616 26240 27136 27880 28832 28960 29684 30770 32768 33920 34768 34816 36040 36941 37105 38372 40960 41984 43460 43520 44608 46336 47965 49232 52480 54272 55760 57664 57920 59368 61540 61681 65536 67840 69536 69632 72080 73882 74210 76744 81920 83968 86920 87040 89216 92672 95930 98464 104960 108544 111520 115328 115840 118736 123080 123362 126157 135680 139072 139264 144160 147764 148420 153488 163081 163840 167936 173840 174080 178432 184705 185344 191860 196928 209920 217088 223040 230656 231680 237472 246160 246724 252314 271360 278144 278528 288320 295528 296840 306976 308405 326162 327680 335872 347680 348160 356864 369410 370688 383720 393313 393856 419840 434176 446080 461312 463360 474944 492320 493448 504628 542720 556288 557056 576640 591056 593680 613952 616810 630785 652324 671744 695360 696320 713728 738820 741376 767440 786626 787712 815405 839680 868352 892160 922624 926720 949888 984640 986896 1009256 1048577 1085440 1112576 1114112 1153280 1182112 1187360 1227904 1233620 1261570 1304648 1343488 1390720 1392640 1427456 1477640 1482752 1534880 1573252 1575424 1630810 1679360 1736704 1784320 1845248 1853440 1899776 1966565 1969280 1973792 2018512 2097154 2170880 2225152 2306560 2364224 2374720 2455808 2467240 2523140 2528921 2609296 2686976 2781440 2785280 2854912 2955280 2965504 3069760 3146504 3150848 3261620 3269093 3358720 3473408 3568640 3690496 3706880 3799552 3933130 3938560 3947584 4037024 4194308 4341760 4450304 4613120 4728448 4749440 4911616 4934480 5046280 5057842 5218592 5242885 5562880 5570560 5709824 5910560 5931008 6139520 6293008 6301696 6523240 6538186 6686321 6717440 7137280 7380992 7413760 7599104 7866260 7877120 7895168 8074048 8388616 8683520 8900608 9226240 9456896 9498880 9823232 9868960 10092560 10115684 10437184 10485770 11125760 11164261 11419648 11821120 11862016 12279040 12586016 12603392 12644605 13046480 13076372 13372642 13434880 14274560 14761984 14827520 15198208 15732520 15754240 15790336 16148096 16345465 16777232 17367040 17801216 18452480 18913792 18997760 19646464 19737920 20185120 20231368 20874368 20971540 22251520 22328522 22839296 23642240 24558080 25172032 25206784 25289210 26092960 26152744 26745284 28549120 29523968 29655040 30396416 31465040 31508480 31580672 32296192 32690930 33431605 33554464 35602432 36904960 37827584 37995520 39292928 39475840 40370240 40462736 41748736 41943080 42991657 44503040 44657044 45678592 47284480 49116160 50344064 50413568 50578420 52185920 52305488 53490568 55574581 55821305 57098240 59047936 59310080 60792832 62930080 63016960 63161344 64592384 65381860 66863210 67108928 71204864 73809920 75655168 75991040 78585856 78951680 80740480 80925472 83497472 83886160 85983314 89006080 89314088 94568960 98232320 100688128 100827136 101156840 104371840 104610976 106981136 111149162 111642610 114196480 121585664 125860160 126033920 126322688 129184768 130763720 133726420 134032813 134217856 142409728 147619840 151310336 151982080 157171712 157903360 161480960 161850944 166994944 167772320 171966628 178012160 178628176 189137920 189792437 196464640 201376256 201654272 202313680 208743680 209221952 213962272 214958285 222298324 223285220 228392960 243171328 251720320 252067840 252645376 258369536 261527440 267452840 268065626 268435712 277872905 295239680 302620672 303964160 314343424 315806720 322961920 323701888 333989888 335544640 343933256 356024320 357256352 378275840 379584874 392929280 402752512 404627360 417487360 418443904 427924544 429916570 444596648 446570440 457734701 486342656 503440640 504135680 505290752 516739072 523054880 534905680 536131252 536871424 555745810 591705833 605241344 607928320 628686848 631613440 645923840 647403776 667979776 670164065 671089280 687866512 712048640 714512704 756551680 759169748 785858560 805505024 809254720 834974720 836887808 855849088 859833140 889193296 893140880 915469402 948962185 1006881280 1008271360 1010581504 1033478144 1046109760 1069811360 1072262504 1073742848 1111491620 1183411666 1210482688 1215856640 1263226880 1291847680 1294807552 1335959552 1340328130 1342178560 1375733024 1429025408 1513103360 1518339496 1571717120 1611010048 1618509440 1669949440 1673775616 1711698176 1719666280 1778386592 1786281760 1830938804 1897924370 2013762560 2021163008 2066956288 2092219520 2139622720 2144525008 2147485696 2222983240 2278557821 2288673505 2366823332 2420965376 2431713280 2526453760 2583695360 2589615104 2671919104 2680656260 2684357120 2751466048 2858050816 2958529165 3026206720 3036678992 3143434240 3222020096 3237018880 3339898880 3347551232 3423396352 3439332560 3556773184 3572563520 3661877608 3795848740 4027525120 4042326016 4133912576 4184439040 4279245440 4289050016 4294971392 4445966480 4557115642 4577347010 4733646664 5052907520 5167390720 5179230208 5343838208 5361312520 5368714240 5502932096 5716101632 5917058330 6052413440 6073357984 6444040192 6474037760 6679797760 6695102464 6846792704 6878665120 7113546368 7145127040 7323755216 7591697480 7781489917 8055050240 8267825152 8368878080 8558490880 8578100032 8589942784 8891932960 9114231284 9154694020 9467293328 10058999161 10105815040 10334781440 10358460416 10687676416 10722625040 10737428480 11005864192 11392789105 11432203264 11834116660 12104826880 12146715968 12888080384 12948075520 13359595520 13390204928 13693585408 13757330240 14227092736 14290254080 14647510432 15183394960 15562979834 16110100480 16737756160 17116981760 17156200064 17179885568 17783865920 18228462568 18309388040 18934586656 20117998322 20211630080 20669562880 20716920832 21445250080 21474856960 22011728384 22785578210 22864406528 23668233320 24259939153 24293431936 25776160768 25896151040 26719191040 26780409856 27387170816 27514660480 28454185472 28580508160 29295020864 30366789920 31125959668 32220200960 33475512320 34233963520 34312400128 34359771136 35567731840 36456925136 36618776080 37869173312 38907449585 40235996644 41339125760 41433841664 42890500160 42949713920 44023456768 45571156420 45728813056 47336466640 48519878306 48586863872 50294995805 51792302080 53438382080 53560819712 54774341632 55029320960 56908370944 57161016320 58590041728 60733579840 62251919336 64440401920 66951024640 68467927040 68624800256 68719542272 71135463680 72913850272 73237552160 75738346624 77814899170 80471993288 82867683328 85781000320 85899427840 88046913536 91142312840 91457626112 94672933280 97039756612 97173727744 100589991610 103584604160 107121639424 109548683264 110058641920 113816741888 114322032640 117180083456 121299695765 121467159680 124503838672 128880803840 133902049280 136935854080 137249600512 142270927360 145827700544 146475104320 151476693248 155629798340 160943986576 165735366656 171562000640 171798855680 176093827072 182284625680 182915252224 189345866560 194079513224 194347455488 201179983220 207169208320 214243278848 219097366528 220117283840 227633483776 228644065280 234360166912 242599391530 242934319360 249007677344 267804098560 273871708160 274499201024 284541854720 291655401088 292950208640 302953386496 311259596680 321887973152 343124001280 343597711360 352187654144 364569251360 365830504448 378691733120 388159026448 388694910976 402359966440 412418965601 414338416640 438194733056 440234567680 455266967552 457288130560 468720333824 485198783060 485868638720 498015354688 535608197120 547743416320 548998402048 569083709440 583310802176 585900417280 605906772992 622519193360 643775946304 686248002560 704375308288 729138502720 731661008896 757383466240 776318052896 777389821952 804719932880 824837931202 828676833280 880469135360 910533935104 914576261120 937440667648 970397566120 971737277440 996030709376 1071216394240 1095486832640 1097996804096 1138167418880 1166621604352 1171800834560 1211813545984 1245038386720 1287551892608 1372496005120 1408750616576 1458277005440 1514766932480 1552636105792 1554779643904 1609439865760 1649675862404 1760938270720 1821067870208 1829152522240 1874881335296 1940795132240 1943474554880 1992061418752 2062094828005 2190973665280 2195993608192 2276334837760 2333243208704 2343601669120 2423627091968 2490076773440 2575103785216 2744992010240 2817501233152 2916554010880 3029533864960 3105272211584 3109559287808 3218879731520 3299351724808 3521876541440 3642135740416 3658305044480 3749762670592 3881590264480 3886949109760 3984122837504 4124189656010 4391987216384 4552669675520 4666486417408 4687203338240 4847254183936 4980153546880 5150207570432 5489984020480 5833108021760 6059067729920 6210544423168 6219118575616 6437759463040 6598703449616 7043753082880 7499525341184 7763180528960 7773898219520 7968245675008 8248379312020 8783974432768 9105339351040 9332972834816 9374406676480 9694508367872 9960307093760 10300415140864 10979968040960 11666216043520 12118135459840 12421088846336 12438237151232 12875518926080 13197406899232 14087506165760 14999050682368 15526361057920 15547796439040 15936491350016 16496758624040 18210678702080 18665945669632 18748813352960 19389016735744 19920614187520 20600830281728 21959936081920 23332432087040 24236270919680 24842177692672 25751037852160 26394813798464 29998101364736 31052722115840 31095592878080 31872982700032 32993517248080 37331891339264 37497626705920 38778033471488 39841228375040 41201660563456 43919872163840 46664864174080 48472541839360 49684355385344 51502075704320 52789627596928 62105444231680 62191185756160 63745965400064 65987034496160 74663782678528 74995253411840 79682456750080 82403321126912 93329728348160 96945083678720 99368710770688 103004151408640 105579255193856 124210888463360 127491930800128 131974068992320 149327565357056 149990506823680 159364913500160 164806642253824 186659456696320 193890167357440 198737421541376 206008302817280 211158510387712 248421776926720 254983861600256 263948137984640 318729827000320 329613284507648 373318913392640 397474843082752 412016605634560 422317020775424 496843553853440 509967723200512 527896275969280 637459654000640 659226569015296 746637826785280 794949686165504 824033211269120 844634041550848 993687107706880 1055792551938560 1274919308001280 1589899372331008 1648066422538240 1689268083101696 1987374215413760 2111585103877120 2549838616002560 3296132845076480 3378536166203392 3974748430827520 4223170207754240 6757072332406784 7949496861655040 8446340415508480 13514144664813568 16892680831016960 27028289329627136 33785361662033920 67570723324067840 135141446648135680
• Sum of all divisors σ(n): 360415328726246976
• Sum of proper divisors (its aliquot sum) s(n): 225273882078111296
• 135141446648135680 is an abundant number, because the sum of its proper divisors (225273882078111296) is greater than itself. Its abundance is 90132435429975616

Bases of 135141446648135680

• Binary: 111100000000111100110111000000001111001010000000000000000₂
• Hexadecimal: 0x1E01E6E01E50000
• Base-36: 10YNN7ITJQ4G

Squares and roots of 135141446648135680

• 135141446648135680 squared (135141446648135680²) is 18263210602150902418866419689062400
• 135141446648135680 cubed (135141446648135680³) is 2468116701214242085698790239488394874566247186432000
• The square root of 135141446648135680 is 367615895.5324642651
• The cube root of 135141446648135680 is 513171.8847005819

Scales and comparisons

• 135,141,446,648,135,680 seconds is equal to 4,297,079,983 years, 24 weeks, 3 days, 1 hour, 14 minutes, 40 seconds.
• To count from 1 to 135,141,446,648,135,680 would take you about twelve billion, eight hundred ninety-one million, two hundred thirty-nine thousand, nine hundred fifty 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 135141446648135680 cubic inches would be around 42764.3 feet tall.

Recreational maths with 135141446648135680

• 135141446648135680 backwards is 086531846644141531
• The number of decimal digits it has is: 18
• The sum of 135141446648135680's digits is 70
• More coming soon!