148948963824048128

Names of 148948963824048128

• Cardinal: 148948963824048128 can be written as One hundred forty-eight quadrillion, nine hundred forty-eight trillion, nine hundred sixty-three billion, eight hundred twenty-four million, forty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.48948963824048128 × 10¹⁷

Factors of 148948963824048128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 123

Divisors of 148948963824048128

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 8 13 16 19 26 32 38 52 64 76 89 104 128 152 169 178 208 247 256 304 338 356 361 416 494 512 608 676 712 722 832 988 1024 1157 1216 1352 1424 1444 1664 1691 1976 2048 2314 2432 2704 2848 2888 3211 3328 3382 3952 4628 4693 4864 5408 5696 5776 6422 6656 6764 6859 7904 7921 9256 9386 9728 10816 11392 11552 12844 13312 13528 13718 15041 15808 15842 18512 18772 19456 21632 21983 22784 23104 25688 26624 27056 27436 30082 31616 31684 32129 37024 37544 38912 43264 43966 45568 46208 51376 54112 54872 60164 61009 63232 63368 64258 74048 75088 86528 87932 89167 91136 92416 102752 102973 108224 109744 120328 122018 126464 126736 128516 148096 150176 150499 173056 175864 178334 182272 184832 205504 205946 216448 219488 240656 244036 252928 253472 257032 285779 296192 300352 300998 346112 351728 356668 369664 411008 411892 417677 432896 438976 481312 488072 505856 506944 514064 571558 592384 600704 601996 610451 703456 704969 713336 739328 822016 823784 835354 865792 877952 962624 976144 1013888 1028128 1143116 1159171 1184768 1201408 1203992 1220902 1338649 1406912 1409938 1426672 1644032 1647568 1670708 1731584 1755904 1925248 1952288 1956487 2027776 2056256 2286232 2318342 2369536 2402816 2407984 2441804 2677298 2813824 2819876 2853344 2859481 3288064 3295136 3341416 3463168 3511808 3850496 3904576 3912974 4055552 4112512 4572464 4636684 4805632 4815968 4883608 5354596 5429801 5627648 5639752 5706688 5718962 6576128 6590272 6682832 7023616 7700992 7809152 7825948 7935863 8111104 8225024 9144928 9164597 9273368 9611264 9631936 9767216 10709192 10859602 11255296 11279504 11413376 11437924 13180544 13365664 13394411 14047232 15401984 15618304 15651896 15871726 16222208 16450048 18289856 18329194 18546736 19263872 19534432 21418384 21719204 22510592 22559008 22826752 22875848 25434331 26361088 26731328 26788822 30803968 31236608 31303792 31743452 32900096 36579712 36658388 37093472 37173253 38527744 39068864 42836768 43438408 45021184 45118016 45653504 45751696 50868662 52722176 53462656 53577644 54330139 62473216 62607584 62742241 63486904 65800192 73159424 73316776 74186944 74346506 77055488 78137728 85673536 86876816 90236032 91307008 91503392 101737324 103166219 105444352 106925312 107155288 108660278 119139761 124946432 125215168 125484482 126973808 146318848 146633552 148373888 148693012 154110976 156275456 171347072 173753632 174127343 180472064 182614016 183006784 203474648 206332438 210888704 213850624 214310576 217320556 238279522 250430336 250968964 253947616 254493809 292637696 293267104 296747776 297386024 308221952 312550912 342694144 347507264 348254686 360944128 366013568 406949296 412664876 427701248 428621152 434641112 476559044 483252289 500860672 501937928 507895232 508987618 585275392 586534208 593495552 594772048 625101824 685388288 695014528 696509372 706291807 721888256 732027136 813898592 815649133 825329752 855402496 857242304 869282224 953118088 966504578 1001721344 1003875856 1015790464 1017975236 1173068416 1186991104 1189544096 1192102579 1250203648 1370776576 1390029056 1393018744 1412583614 1443776512 1464054272 1627797184 1631298266 1650659504 1714484608 1738564448 1906236176 1933009156 2003442688 2007751712 2031580928 2035950472 2263655459 2346136832 2373982208 2379088192 2384205158 2741553152 2780058112 2786037488 2825167228 2928108544 3255594368 3262596532 3301319008 3308419517 3428969216 3477128896 3812472352 3866018312 4006885376 4015503424 4063161856 4071900944 4527310918 4692273664 4758176384 4768410316 4835382371 5560116224 5572074976 5650334456 5856217088 6511188736 6525193064 6602638016 6616839034 6857938432 6954257792 7624944704 7732036624 8031006848 8126323712 8143801888 9054621836 9181793491 9384547328 9516352768 9536820632 9670764742 10603438729 11120232448 11144149952 11300668912 13022377472 13050386128 13205276032 13233678068 13715876864 13908515584 15249889408 15464073248 15497333527 16062013696 16252647424 16287603776 18109243672 18363586982 18769094656 19032705536 19073641264 19341529484 21206877458 22288299904 22601337824 22649949001 26044754944 26100772256 26410552064 26467356136 27431753728 27817031168 30499778816 30928146496 30994667054 32124027392 32575207552 36218487344 36727173964 38065411072 38147282528 38683058968 42413754916 43009453721 44576599808 45202675648 45299898002 52089509888 52201544512 52821104128 52934712272 55634062336 60999557632 61856292992 61989334108 62859970823 64248054784 65150415104 72436974688 73454347928 76130822144 76294565056 77366117936 84827509832 86018907442 89153199616 90405351296 90599796004 104403089024 105642208256 105869424544 111268124672 121999115264 123712585984 123978668216 125719941646 128496109568 130300830208 144873949376 146908695856 152589130112 154732235872 169655019664 172037814884 178306399232 180810702592 181199592008 201465335851 208806178048 211284416512 211738849088 243998230528 247425171968 247957336432 251439883292 260601660416 289747898752 293817391712 294449337013 305178260224 309464471744 339310039328 344075629768 356612798464 361621405184 362399184016 402930671702 417612356096 423477698176 430349031019 494850343936 495914672864 502879766584 521203320832 579495797504 587634783424 588898674026 610356520448 618928943488 678620078656 688151259536 723242810368 724798368032 805861343404 817179620699 835224712192 846955396352 860698062038 989700687872 991829345728 1005759533168 1158991595008 1175269566848 1177797348052 1220713040896 1237857886976 1357240157312 1376302519072 1446485620736 1449596736064 1611722686808 1634359241398 1670449424384 1693910792704 1721396124076 1983658691456 2011519066336 2317983190016 2350539133696 2355594696104 2441426081792 2475715773952 2714480314624 2752605038144 2899193472128 3223445373616 3268718482796 3387821585408 3442792248152 3827841381169 3967317382912 4023038132672 4635966380032 4701078267392 4711189392208 4951431547904 5428960629248 5505210076288 5594537403247 5798386944256 6446890747232 6537436965592 6775643170816 6885584496304 7655682762338 7934634765824 8046076265344 9402156534784 9422378784416 9902863095808 10857921258496 11010420152576 11189074806494 11596773888512 12893781494464 13074873931184 13771168992608 15311365524676 15869269531648 16092152530688 18804313069568 18844757568832 21715842516992 22020840305152 22378149612988 23193547777024 25787562988928 26149747862368 27542337985216 30622731049352 31738539063296 32184305061376 37689515137664 44041680610304 44756299225976 46387095554048 51575125977856 52299495724736 55084675970432 61245462098704 64368610122752 72728986242211 75379030275328 88083361220608 89512598451952 103150251955712 104598991449472 110169351940864 122490924197408 128737220245504 145457972484422 150758060550656 179025196903904 206300503911424 209197982898944 220338703881728 244981848394816 290915944968844 301516121101312 358050393807808 412601007822848 418395965797888 440677407763456 489963696789632 581831889937688 603032242202624 716100787615616 836791931595776 881354815526912 979927393579264 1163663779875376 1432201575231232 1673583863191552 1959854787158528 2327327559750752 2864403150462464 3919709574317056 4654655119501504 5728806300924928 7839419148634112 9309310239003008 11457612601849856 18618620478006016 37237240956012032 74474481912024064 148948963824048128
• Sum of all divisors σ(n): 344279309312975400
• Sum of proper divisors (its aliquot sum) s(n): 195330345488927272
• 148948963824048128 is an abundant number, because the sum of its proper divisors (195330345488927272) is greater than itself. Its abundance is 46381381664879144

Bases of 148948963824048128

• Binary: 1000010001001011000100101100011110011001010001100000000000₂
• Hexadecimal: 0x2112C4B1E651800
• Base-36: 14QM01CGK268

Squares and roots of 148948963824048128

• 148948963824048128 squared (148948963824048128²) is 22185793824257597934437845260304384
• 148948963824048128 cubed (148948963824048128³) is 3304551001737135326278893607126976180261292345393152
• The square root of 148948963824048128 is 385939067.5016564425
• The cube root of 148948963824048128 is 530085.3829736853

Scales and comparisons

• 148,948,963,824,048,128 seconds is equal to 4,736,116,320 years, 10 weeks, 6 days, 2 hours, 42 minutes, 8 seconds.
• To count from 1 to 148,948,963,824,048,128 would take you about fourteen billion, two hundred eight million, three hundred forty-eight thousand, nine hundred sixty 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 148948963824048128 cubic inches would be around 44173.8 feet tall.

Recreational maths with 148948963824048128

• 148948963824048128 backwards is 821840428369849841
• 148948963824048128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 148948963824048128's digits is 89
• More coming soon!