21285729069957120

Names of 21285729069957120

• Cardinal: 21285729069957120 can be written as Twenty-one quadrillion, two hundred eighty-five trillion, seven hundred twenty-nine billion, sixty-nine million, nine hundred fifty-seven thousand, one hundred twenty.

Scientific notation

• Scientific notation: 2.128572906995712 × 10¹⁶

Factors of 21285729069957120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 38
• Sum of prime factors: 114

Divisors of 21285729069957120

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 73 80 93 96 120 124 128 146 155 160 186 192 219 240 248 256 292 310 320 365 372 384 438 465 480 496 512 584 620 640 730 744 768 876 930 960 992 1024 1095 1168 1240 1280 1460 1488 1536 1752 1860 1920 1984 2048 2190 2263 2336 2480 2560 2920 2976 3072 3504 3720 3840 3968 4096 4380 4526 4672 4960 5120 5329 5840 5952 6144 6789 7008 7440 7680 7936 8192 8760 9052 9344 9920 10240 10658 11315 11680 11904 12288 13578 14016 14880 15360 15872 15987 16384 17520 18104 18688 19840 20480 21316 22630 23360 23808 24576 26645 27156 28032 29760 30720 31744 31974 32768 33945 35040 36208 37376 39680 40960 42632 45260 46720 47616 49152 53290 54312 56064 59520 61440 63488 63948 65536 67890 70080 72416 74752 79360 79935 81920 85264 90520 93440 95232 98304 106580 108624 112128 119040 122880 126976 127896 131072 135780 140160 144832 149504 158720 159870 163840 165199 170528 181040 186880 190464 196608 213160 217248 224256 238080 245760 253952 255792 262144 271560 280320 289664 299008 317440 319740 327680 330398 341056 362080 373760 380928 393216 426320 434496 448512 476160 491520 495597 507904 511584 524288 543120 560640 579328 598016 634880 639480 655360 660796 682112 724160 747520 761856 786432 825995 852640 868992 897024 952320 983040 991194 1015808 1023168 1048576 1086240 1121280 1158656 1196032 1269760 1278960 1310720 1321592 1364224 1448320 1495040 1523712 1572864 1651990 1705280 1737984 1794048 1904640 1966080 1982388 2031616 2046336 2097152 2172480 2242560 2317312 2392064 2477985 2539520 2557920 2621440 2643184 2728448 2896640 2990080 3047424 3145728 3303980 3410560 3475968 3588096 3809280 3932160 3964776 4063232 4092672 4194304 4344960 4485120 4634624 4784128 4955970 5079040 5115840 5242880 5286368 5456896 5793280 5980160 6094848 6291456 6607960 6821120 6951936 7176192 7618560 7864320 7929552 8126464 8185344 8388608 8689920 8970240 9269248 9568256 9911940 10158080 10231680 10485760 10572736 10913792 11586560 11960320 12189696 12582912 13215920 13642240 13903872 14352384 15237120 15728640 15859104 16252928 16370688 16777216 17379840 17940480 18538496 19136512 19823880 20316160 20463360 20971520 21145472 21827584 23173120 23920640 24379392 25165824 26431840 27284480 27807744 28704768 30474240 31457280 31718208 32505856 32741376 33554432 34759680 35880960 37076992 38273024 39647760 40632320 40926720 41943040 42290944 43655168 46346240 47841280 48758784 50331648 52863680 54568960 55615488 57409536 60948480 62914560 63436416 65011712 65482752 67108864 69519360 71761920 74153984 76546048 79295520 81264640 81853440 83886080 84581888 87310336 92692480 95682560 97517568 100663296 105727360 109137920 111230976 114819072 121896960 125829120 126872832 130023424 130965504 134217728 139038720 143523840 148307968 153092096 158591040 162529280 163706880 167772160 169163776 174620672 185384960 191365120 195035136 201326592 211454720 218275840 222461952 229638144 243793920 251658240 253745664 260046848 261931008 268435456 278077440 287047680 296615936 306184192 317182080 325058560 327413760 335544320 338327552 349241344 370769920 382730240 390070272 402653184 422909440 436551680 444923904 459276288 487587840 503316480 507491328 520093696 523862016 536870912 556154880 574095360 593231872 612368384 634364160 650117120 654827520 671088640 676655104 698482688 741539840 765460480 780140544 805306368 845818880 873103360 889847808 918552576 975175680 1006632960 1014982656 1040187392 1047724032 1073741824 1112309760 1148190720 1186463744 1224736768 1268728320 1300234240 1309655040 1342177280 1353310208 1396965376 1483079680 1530920960 1560281088 1610612736 1691637760 1746206720 1779695616 1837105152 1950351360 2013265920 2029965312 2080374784 2095448064 2147483648 2224619520 2296381440 2372927488 2449473536 2537456640 2600468480 2619310080 2684354560 2706620416 2793930752 2966159360 3061841920 3120562176 3221225472 3383275520 3492413440 3559391232 3674210304 3900702720 4026531840 4059930624 4160749568 4190896128 4294967296 4449239040 4592762880 4745854976 4898947072 5074913280 5200936960 5238620160 5368709120 5413240832 5587861504 5932318720 6123683840 6241124352 6442450944 6766551040 6984826880 7118782464 7348420608 7801405440 8053063680 8119861248 8321499136 8381792256 8589934592 8898478080 9185525760 9491709952 9797894144 10149826560 10401873920 10477240320 10737418240 10826481664 11175723008 11864637440 12247367680 12482248704 12884901888 13533102080 13969653760 14237564928 14696841216 15602810880 16106127360 16239722496 16642998272 16763584512 17796956160 18371051520 18983419904 19595788288 20299653120 20803747840 20954480640 21474836480 21652963328 22351446016 23729274880 24494735360 24964497408 25769803776 27066204160 27939307520 28475129856 29393682432 31205621760 32212254720 32479444992 33285996544 33527169024 35593912320 36742103040 37966839808 39191576576 40599306240 41607495680 41908961280 42949672960 43305926656 44702892032 47458549760 48989470720 49928994816 54132408320 55878615040 56950259712 58787364864 62411243520 64424509440 64958889984 66571993088 67054338048 71187824640 73484206080 75933679616 78383153152 81198612480 83214991360 83817922560 86611853312 89405784064 94917099520 97978941440 99857989632 108264816640 111757230080 113900519424 117574729728 124822487040 128849018880 129917779968 133143986176 134108676096 142375649280 146968412160 151867359232 156766306304 162397224960 166429982720 167635845120 173223706624 178811568128 189834199040 195957882880 199715979264 216529633280 223514460160 227801038848 235149459456 249644974080 259835559936 266287972352 268217352192 284751298560 293936824320 303734718464 313532612608 324794449920 332859965440 335271690240 346447413248 357623136256 379668398080 391915765760 399431958528 433059266560 447028920320 455602077696 470298918912 499289948160 519671119872 536434704384 569502597120 587873648640 607469436928 627065225216 649588899840 665719930880 670543380480 692894826496 715246272512 759336796160 783831531520 798863917056 866118533120 894057840640 911204155392 940597837824 998579896320 1039342239744 1072869408768 1139005194240 1175747297280 1214938873856 1299177799680 1331439861760 1341086760960 1385789652992 1430492545024 1518673592320 1567663063040 1732237066240 1788115681280 1822408310784 1881195675648 1997159792640 2078684479488 2145738817536 2278010388480 2351494594560 2429877747712 2598355599360 2682173521920 2771579305984 2860985090048 3037347184640 3135326126080 3464474132480 3576231362560 3644816621568 3994319585280 4157368958976 4291477635072 4556020776960 4702989189120 4859755495424 5196711198720 5364347043840 5543158611968 5721970180096 6074694369280 6928948264960 7152462725120 7289633243136 8314737917952 8582955270144 9112041553920 9405978378240 9719510990848 10393422397440 10728694087680 11086317223936 11443940360192 12149388738560 13857896529920 14304925450240 14579266486272 16629475835904 17165910540288 18224083107840 19439021981696 20786844794880 21457388175360 22172634447872 22887880720384 24298777477120 27715793059840 28609850900480 29158532972544 33258951671808 34331821080576 36448166215680 41573689589760 42914776350720 44345268895744 45775761440768 48597554954240 55431586119680 57219701800960 58317065945088 66517903343616 68663642161152 72896332431360 83147379179520 85829552701440 88690537791488 97195109908480 110863172239360 114439403601920 133035806687232 137327284322304 145792664862720 166294758359040 171659105402880 177381075582976 221726344478720 228878807203840 266071613374464 291585329725440 332589516718080 343318210805760 354762151165952 443452688957440 532143226748928 665179033436160 686636421611520 709524302331904 886905377914880 1064286453497856 1330358066872320 1419048604663808 1773810755829760 2128572906995712 2660716133744640 3547621511659520 4257145813991424 5321432267489280 7095243023319040 10642864534978560 21285729069957120
• Sum of all divisors σ(n): 71287935894335232
• Sum of proper divisors (its aliquot sum) s(n): 50002206824378112
• 21285729069957120 is an abundant number, because the sum of its proper divisors (50002206824378112) is greater than itself. Its abundance is 28716477754420992

Bases of 21285729069957120

• Binary: 1001011100111110100001000000000000000000000000000000000₂
• Hexadecimal: 0x4B9F4200000000
• Base-36: 5TL5SXV0IDC

Squares and roots of 21285729069957120

• 21285729069957120 squared (21285729069957120²) is 453082262039617600774958638694400
• 21285729069957120 cubed (21285729069957120³) is 9644186276178617689102932820983786699780784128000
• The square root of 21285729069957120 is 145896295.6005296249
• The cube root of 21285729069957120 is 277138.0626507529

Scales and comparisons

• 21,285,729,069,957,120 seconds is equal to 676,820,343 years, 17 weeks, 5 days, 8 hours, 32 minutes.
• To count from 1 to 21,285,729,069,957,120 would take you about two billion, thirty million, four hundred sixty-one thousand and thirty 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 21285729069957120 cubic inches would be around 23094.8 feet tall.

Recreational maths with 21285729069957120

• 21285729069957120 backwards is 02175996092758212
• The number of decimal digits it has is: 17
• The sum of 21285729069957120's digits is 75
• More coming soon!