148188309984

Names of 148188309984

• Cardinal: 148188309984 can be written as One hundred forty-eight billion, one hundred eighty-eight million, three hundred nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.48188309984 × 10¹¹

Factors of 148188309984

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 269

Divisors of 148188309984

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 31 32 33 36 38 39 41 44 48 52 57 62 66 72 76 78 82 88 93 96 99 104 114 117 123 124 132 143 144 149 152 156 164 171 176 186 198 208 209 228 234 246 247 248 264 279 286 288 298 304 312 328 341 342 352 369 372 396 403 416 418 429 447 451 456 468 492 494 496 528 533 558 572 589 596 608 624 627 656 682 684 738 741 744 779 792 806 836 858 894 902 912 936 984 988 992 1023 1056 1066 1116 1144 1178 1192 1209 1248 1254 1271 1287 1312 1341 1353 1364 1368 1476 1482 1488 1558 1584 1599 1612 1639 1672 1716 1767 1788 1804 1824 1872 1881 1937 1968 1976 2046 2132 2223 2232 2288 2337 2356 2384 2418 2508 2542 2574 2682 2706 2717 2728 2736 2831 2952 2964 2976 3069 3116 3168 3198 3224 3278 3344 3432 3534 3576 3608 3627 3744 3762 3813 3874 3936 3952 4059 4092 4264 4433 4446 4464 4576 4619 4674 4712 4768 4797 4836 4917 5016 5084 5148 5301 5364 5412 5434 5456 5472 5662 5811 5863 5904 5928 6109 6138 6232 6396 6448 6479 6556 6688 6864 7011 7068 7152 7216 7254 7524 7626 7657 7748 7904 8118 8151 8184 8493 8528 8569 8866 8892 8928 9238 9348 9424 9594 9672 9834 10032 10127 10168 10296 10602 10728 10824 10868 10912 11324 11439 11622 11726 11808 11856 12218 12276 12464 12792 12896 12958 13112 13299 13728 13857 13981 14022 14136 14304 14432 14508 14751 15048 15252 15314 15496 16236 16302 16368 16523 16986 17056 17138 17433 17589 17732 17784 18327 18476 18696 18848 19188 19344 19437 19668 20064 20254 20336 20592 21204 21307 21456 21648 21736 22648 22878 22971 23244 23452 23712 24149 24436 24453 24552 24928 25479 25584 25707 25916 26224 26598 27714 27962 28044 28272 29016 29502 30096 30381 30504 30628 30992 31141 32472 32604 32736 33046 33972 34276 34866 35178 35464 35568 36654 36803 36952 37392 38376 38688 38874 39336 39897 40508 40672 41184 41571 41943 42408 42614 42912 43296 43472 45296 45756 45942 46488 46904 48298 48872 48906 49104 49569 50809 50958 51168 51414 51832 52448 52767 53196 54981 55428 55924 56088 56544 58032 58311 59004 60047 60192 60762 61008 61256 61984 62282 63921 64944 65208 66092 67199 67944 68552 68913 69732 70356 70928 71136 72447 73308 73606 73904 74784 76752 77121 77748 78672 79417 79794 81016 83142 83886 84227 84816 85228 86944 87761 90592 91143 91512 91884 92976 93423 93808 96596 97744 97812 98208 99138 101618 101916 102828 103664 105534 106392 109962 110409 110856 111397 111848 112176 116064 116071 116622 118008 120094 121524 122016 122512 124564 125829 127842 129888 130416 132184 134398 135888 137104 137826 139464 140712 141856 144894 146616 147212 147808 148707 152427 153504 154242 155496 157344 158834 159588 162032 166284 167772 168454 169632 170456 175522 180141 181753 182286 183024 183768 185952 186846 187616 189379 191763 193192 195488 195624 198276 201597 203236 203832 205656 207328 211068 212784 217341 219924 220818 221712 222794 223696 224352 232142 233244 236016 238251 240188 243048 245024 249128 251658 252681 255684 260832 263283 264368 265639 268796 271776 274208 275652 278928 280269 281424 289788 293232 294424 297414 304854 308484 310992 313937 317668 319176 324064 331227 332568 334191 335544 336908 340912 348213 351044 360282 363506 364572 366048 367536 373692 378758 383526 386384 391248 396552 403194 404833 406472 407664 411312 422136 425568 434682 439848 441636 443424 445588 447392 457281 464284 466488 472032 476502 480376 486096 498256 503316 505362 511368 526566 528736 531278 537592 540423 545259 551304 557856 560538 562848 568137 579576 586464 588848 594828 604791 609708 616968 621984 627874 635336 638352 660517 662454 665136 668382 671088 673816 681824 696426 702088 714753 720564 727012 729144 735072 747384 757516 758043 767052 772768 782496 789849 793104 796917 806388 809666 812944 815328 822624 844272 869364 873587 879696 883272 891176 914562 928568 932976 941811 953004 960752 965371 972192 996512 1002573 1006632 1010724 1022736 1044639 1053132 1062556 1075184 1080846 1090518 1102608 1121076 1136274 1140893 1159152 1177696 1189656 1209582 1214499 1219416 1233936 1255748 1270672 1276704 1276781 1321034 1324908 1330272 1336764 1342176 1347632 1392852 1404176 1429506 1441128 1454024 1458288 1494768 1508923 1515032 1516086 1534104 1579698 1586208 1593834 1612776 1619332 1625888 1635777 1688544 1704411 1738728 1747174 1759392 1766544 1782352 1829124 1857136 1865952 1883622 1906008 1921504 1930742 1981551 2005146 2013264 2021448 2045472 2083169 2089278 2106264 2125112 2150368 2161692 2181036 2205216 2242152 2272548 2281786 2318304 2379312 2390751 2419164 2428998 2438832 2461927 2467872 2511496 2541344 2553562 2620761 2642068 2649816 2673528 2695264 2785704 2808352 2825433 2859012 2882256 2896113 2908048 2916576 2989536 3017846 3030064 3032172 3068208 3159396 3187668 3225552 3238664 3271554 3408822 3422679 3453307 3477456 3494348 3533088 3564704 3598201 3643497 3658248 3714272 3767244 3812016 3830343 3861484 3963102 4010292 4026528 4042896 4166338 4178556 4212528 4250224 4323384 4362072 4484304 4526769 4545096 4563572 4758624 4781502 4838328 4857996 4877664 4923854 5022992 5107124 5241522 5284136 5299632 5347056 5571408 5650866 5718024 5764512 5792226 5816096 5944653 6035692 6060128 6064344 6136416 6249507 6318792 6375336 6451104 6477328 6543108 6817644 6845358 6906614 6954912 6988696 7196402 7286994 7316496 7385781 7534488 7624032 7660686 7722968 7862283 7926204 8020584 8085792 8332676 8357112 8425056 8500448 8646768 8688339 8724144 8968608 9053538 9090192 9127144 9563004 9676656 9715992 9847708 10045984 10214248 10268037 10359921 10483044 10568272 10599264 10694112 10794603 11142816 11301732 11436048 11491029 11584452 11889306 12071384 12128688 12499014 12549823 12637584 12750672 12954656 13086216 13580307 13635288 13690716 13813228 13977392 14392804 14573988 14632992 14771562 15068976 15321372 15445936 15724566 15852408 16041168 16598153 16665352 16714224 17293536 17376678 17448288 18107076 18180384 18254288 18748521 19126008 19353312 19431984 19695416 20428496 20536074 20719842 20966088 21136544 21589206 22157343 22603464 22872096 22982058 23168904 23778612 24142768 24257376 24998028 25099646 25275168 25501344 26172432 27081197 27160614 27270576 27381432 27626456 27954784 28785608 29147976 29543124 30137952 30642744 30891872 31079763 31449132 31704816 32082336 32383809 33196306 33330704 33428448 34753356 36214152 36508576 37497042 37649469 38252016 38863968 39390832 39580211 40856992 41072148 41439684 41932176 43178412 44314686 45206928 45964116 46337808 46776613 47557224 48285536 49794459 49996056 50199292 52344864 54162394 54321228 54541152 54762864 55252912 57571216 58295952 59086248 61285488 62159526 62898264 63409632 64767618 66392612 66661408 69506712 72428304 74994084 75298938 76504032 78781664 79160422 81243591 82144296 82879368 83864352 86356824 88629372 90413856 91928232 92675616 93553226 95114448 99588918 99992112 100398584 108324788 108642456 109525728 110505824 112948407 115142432 116591904 118172496 118740633 122570976 124319052 125796528 129535236 132785224 139013424 140329839 144856608 149383377 149988168 150597876 158320844 162487182 164288592 165758736 172713648 177258744 183856464 187106452 190228896 199177836 199984224 200797168 216649576 217284912 225896814 236344992 237481266 243730773 248638104 251593056 259070472 265570448 278026848 280659678 298766754 299976336 301195752 316641688 324974364 328577184 331517472 345427296 354517488 356221899 367712928 374212904 398355672 401594336 420989517 433299152 434569824 451793628 474962532 487461546 497276208 514542743 518140944 531140896 561319356 597533508 599952672 602391504 633283376 649948728 709034976 712443798 748425808 796711344 841979034 866598304 903587256 949925064 974923092 994552416 1029085486 1036281888 1122638712 1195067016 1204783008 1266566752 1299897456 1424887596 1496851616 1543628229 1593422688 1683958068 1807174512 1899850128 1949846184 2058170972 2245277424 2390134032 2599794912 2849775192 3087256458 3367916136 3614349024 3799700256 3899692368 4116341944 4490554848 4630884687 4780268064 5699550384 6174512916 6735832272 7799384736 8232683888 9261769374 11399100768 12349025832 13471664544 16465367776 18523538748 24698051664 37047077496 49396103328 74094154992 148188309984
• Sum of all divisors σ(n): 554770944000
• Sum of proper divisors (its aliquot sum) s(n): 406582634016
• 148188309984 is an abundant number, because the sum of its proper divisors (406582634016) is greater than itself. Its abundance is 258394324032

Bases of 148188309984

• Binary: 10001010000000101101100010100111100000₂
• Hexadecimal: 0x2280B629E0
• Base-36: 1W2RHRS0

Squares and roots of 148188309984

• 148188309984 squared (148188309984²) is 21959775215914074080256
• 148188309984 cubed (148188309984³) is 3254181976874835339713315822075904
• The square root of 148188309984 is 384952.3476795539
• The cube root of 148188309984 is 5291.8149437467

Scales and comparisons

• 148,188,309,984 seconds is equal to 4,711 years, 48 weeks, 2 days, 11 hours, 26 minutes, 24 seconds.
• To count from 1 to 148,188,309,984 would take you about nine thousand, four hundred twenty-three 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 148188309984 cubic inches would be around 441 feet tall.

Recreational maths with 148188309984

• 148188309984 backwards is 489903881841
• The number of decimal digits it has is: 12
• The sum of 148188309984's digits is 63
• More coming soon!