148166816655323750400

Names of 148166816655323750400

• Cardinal: 148166816655323750400 can be written as One hundred forty-eight quintillion, one hundred sixty-six quadrillion, eight hundred sixteen trillion, six hundred fifty-five billion, three hundred twenty-three million, seven hundred fifty thousand, four hundred.

Scientific notation

• Scientific notation: 1.481668166553237504 × 10²⁰

Factors of 148166816655323750400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 828717966258

Divisors of 148166816655323750400

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 97 100 120 128 144 150 160 180 192 194 200 225 240 256 288 291 300 320 360 384 388 400 450 480 485 512 576 582 600 640 720 768 776 800 873 900 960 970 1024 1152 1164 1200 1280 1440 1455 1536 1552 1600 1746 1800 1920 1940 2048 2304 2328 2400 2425 2560 2880 2910 3072 3104 3200 3492 3600 3840 3880 4096 4365 4608 4656 4800 4850 5120 5760 5820 6144 6208 6400 6984 7200 7275 7680 7760 8192 8730 9216 9312 9600 9700 10240 11520 11640 12288 12416 12800 13968 14400 14550 15360 15520 17460 18432 18624 19200 19400 20480 21825 23040 23280 24576 24832 25600 27936 28800 29100 30720 31040 34920 36864 37248 38400 38800 40960 43650 46080 46560 49664 51200 55872 57600 58200 61440 62080 69840 73728 74496 76800 77600 87300 92160 93120 99328 102400 111744 115200 116400 122880 124160 139680 148992 153600 155200 174600 184320 186240 198656 204800 223488 230400 232800 248320 279360 297984 307200 310400 349200 368640 372480 397312 446976 460800 465600 496640 558720 595968 614400 620800 698400 744960 794624 893952 921600 931200 993280 1117440 1191936 1241600 1396800 1489920 1787904 1843200 1862400 1986560 2234880 2383872 2483200 2793600 2979840 3575808 3724800 3973120 4469760 4966400 5587200 5959680 7151616 7449600 8939520 9932800 11174400 11919360 14899200 17879040 19865600 22348800 29798400 35758080 44697600 59596800 89395200 178790400 828717966151 1657435932302 2486153898453 3314871864604 4143589830755 4972307796906 6629743729208 7458461695359 8287179661510 9944615593812 12430769492265 13259487458416 14916923390718 16574359323020 19889231187624 20717949153775 24861538984530 26518974916832 29833846781436 33148718646040 37292308476795 39778462375248 41435898307550 49723077969060 53037949833664 59667693562872 62153847461325 66297437292080 74584616953590 79556924750496 80385642716647 82871796615100 99446155938120 106075899667328 119335387125744 124307694922650 132594874584160 149169233907180 159113849500992 160771285433294 165743593230200 186461542383975 198892311876240 212151799334656 238670774251488 241156928149941 248615389845300 265189749168320 298338467814360 318227699001984 321542570866588 331487186460400 372923084767950 397784623752480 401928213583235 424303598669312 477341548502976 482313856299882 497230779690600 530379498336640 596676935628720 636455398003968 643085141733176 662974372920800 723470784449823 745846169535900 795569247504960 803856427166470 848607197338624 954683097005952 964627712599764 994461559381200 1060758996673280 1193353871257440 1205784640749705 1272910796007936 1286170283466352 1325948745841600 1446941568899646 1491692339071800 1591138495009920 1607712854332940 1697214394677248 1909366194011904 1929255425199528 1988923118762400 2009641067916175 2121517993346560 2386707742514880 2411569281499410 2545821592015872 2572340566932704 2651897491683200 2893883137799292 2983384678143600 3182276990019840 3215425708665880 3394428789354496 3617353922249115 3818732388023808 3858510850399056 3977846237524800 4019282135832350 4243035986693120 4773415485029760 4823138562998820 5091643184031744 5144681133865408 5303794983366400 5787766275598584 5966769356287200 6028923203748525 6364553980039680 6430851417331760 6788857578708992 7234707844498230 7637464776047616 7717021700798112 7955692475049600 8038564271664700 8486071973386240 9546830970059520 9646277125997640 10183286368063488 10289362267730816 10607589966732800 11575532551197168 11933538712574400 12057846407497050 12729107960079360 12861702834663520 14469415688996460 15274929552095232 15434043401596224 15911384950099200 16077128543329400 16972143946772480 18086769611245575 19093661940119040 19292554251995280 20366572736126976 20578724535461632 21215179933465600 23151065102394336 23867077425148800 24115692814994100 25458215920158720 25723405669327040 28938831377992920 30549859104190464 30868086803192448 31822769900198400 32154257086658800 33944287893544960 36173539222491150 38187323880238080 38585108503990560 41157449070923264 42430359866931200 46302130204788672 47734154850297600 48231385629988200 50916431840317440 51446811338654080 57877662755985840 61099718208380928 61736173606384896 63645539800396800 64308514173317600 72347078444982300 76374647760476160 77170217007981120 82314898141846528 84860719733862400 92604260409577344 95468309700595200 96462771259976400 101832863680634880 102893622677308160 115755325511971680 123472347212769792 127291079600793600 128617028346635200 144694156889964600 152749295520952320 154340434015962240 164629796283693056 169721439467724800 185208520819154688 190936619401190400 192925542519952800 205787245354616320 231510651023943360 246944694425539584 254582159201587200 257234056693270400 289388313779929200 305498591041904640 308680868031924480 329259592567386112 370417041638309376 381873238802380800 385851085039905600 411574490709232640 463021302047886720 493889388851079168 509164318403174400 514468113386540800 578776627559858400 617361736063848960 658519185134772224 740834083276618752 763746477604761600 771702170079811200 823148981418465280 926042604095773440 987778777702158336 1028936226773081600 1157553255119716800 1234723472127697920 1481668166553237504 1527492955209523200 1543404340159622400 1646297962836930560 1852085208191546880 1975557555404316672 2057872453546163200 2315106510239433600 2469446944255395840 2963336333106475008 3086808680319244800 3292595925673861120 3704170416383093760 4115744907092326400 4630213020478867200 4938893888510791680 5926672666212950016 6173617360638489600 7408340832766187520 8231489814184652800 9260426040957734400 9877787777021583360 12347234721276979200 14816681665532375040 16462979628369305600 18520852081915468800 24694469442553958400 29633363331064750080 37041704163830937600 49388938885107916800 74083408327661875200 148166816655323750400
• Sum of all divisors σ(n): 536205553040357722704
• Sum of proper divisors (its aliquot sum) s(n): 388038736385033972304
• 148166816655323750400 is an abundant number, because the sum of its proper divisors (388038736385033972304) is greater than itself. Its abundance is 239871919729710221904

Bases of 148166816655323750400

• Binary: 10000000100000111010010001101011101000000001000000001110000000000000₂
• Hexadecimal: 0x8083A46BA0100E000
• Base-36: V9P9T096C6WW0

Squares and roots of 148166816655323750400

• 148166816655323750400 squared (148166816655323750400²) is 21953405557772323521342670638321500160000
• 148166816655323750400 cubed (148166816655323750400³) is 3252766216238417293250814472745197629307498005805400064000000
• The square root of 148166816655323750400 is 12172379252.0330120709
• The cube root of 148166816655323750400 is 5291559.0886183621

Scales and comparisons

• 148,166,816,655,323,750,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 148,166,816,655,323,750,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 148166816655323750400 cubic inches would be around 440963.3 feet tall.

Recreational maths with 148166816655323750400

• 148166816655323750400 backwards is 004057323556618661841
• The number of decimal digits it has is: 21
• The sum of 148166816655323750400's digits is 81
• More coming soon!