146996275760332800

Names of 146996275760332800

• Cardinal: 146996275760332800 can be written as One hundred forty-six quadrillion, nine hundred ninety-six trillion, two hundred seventy-five billion, seven hundred sixty million, three hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.469962757603328 × 10¹⁷

Factors of 146996275760332800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 107

Divisors of 146996275760332800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 97 100 120 128 150 160 192 194 200 240 256 291 300 320 384 388 400 480 485 512 582 600 640 768 776 800 960 970 1024 1164 1200 1280 1455 1536 1552 1600 1920 1940 2048 2328 2400 2425 2560 2910 3072 3104 3200 3840 3880 4096 4656 4800 4850 5120 5820 6144 6208 6400 7275 7680 7760 8192 9312 9409 9600 9700 10240 11640 12288 12416 12800 14550 15360 15520 16384 18624 18818 19200 19400 20480 23280 24576 24832 25600 28227 29100 30720 31040 32768 37248 37636 38400 38800 40960 46560 47045 49152 49664 51200 56454 58200 61440 62080 65536 74496 75272 76800 77600 81920 93120 94090 98304 99328 102400 112908 116400 122880 124160 131072 141135 148992 150544 153600 155200 163840 186240 188180 196608 198656 204800 225816 232800 235225 245760 248320 262144 282270 297984 301088 307200 310400 327680 372480 376360 393216 397312 409600 451632 465600 470450 491520 496640 524288 564540 595968 602176 614400 620800 655360 705675 744960 752720 786432 794624 819200 903264 912673 931200 940900 983040 993280 1048576 1129080 1191936 1204352 1228800 1241600 1310720 1411350 1489920 1505440 1572864 1589248 1638400 1806528 1825346 1862400 1881800 1966080 1986560 2097152 2258160 2383872 2408704 2457600 2483200 2621440 2738019 2822700 2979840 3010880 3145728 3178496 3276800 3613056 3650692 3724800 3763600 3932160 3973120 4194304 4516320 4563365 4767744 4817408 4915200 4966400 5242880 5476038 5645400 5959680 6021760 6291456 6356992 6553600 7226112 7301384 7449600 7527200 7864320 7946240 8388608 9032640 9126730 9535488 9634816 9830400 9932800 10485760 10952076 11290800 11919360 12043520 12582912 12713984 13107200 13690095 14452224 14602768 14899200 15054400 15728640 15892480 16777216 18065280 18253460 19070976 19269632 19660800 19865600 20971520 21904152 22581600 22816825 23838720 24087040 25165824 25427968 26214400 27380190 28904448 29205536 29798400 30108800 31457280 31784960 33554432 36130560 36506920 38141952 38539264 39321600 39731200 41943040 43808304 45163200 45633650 47677440 48174080 50331648 50855936 52428800 54760380 57808896 58411072 59596800 60217600 62914560 63569920 67108864 68450475 72261120 73013840 76283904 77078528 78643200 79462400 83886080 87616608 90326400 91267300 95354880 96348160 100663296 101711872 104857600 109520760 115617792 116822144 119193600 120435200 125829120 127139840 134217728 136900950 144522240 146027680 152567808 154157056 157286400 158924800 167772160 175233216 180652800 182534600 190709760 192696320 201326592 203423744 209715200 219041520 231235584 233644288 238387200 240870400 251658240 254279680 268435456 273801900 289044480 292055360 305135616 308314112 314572800 317849600 335544320 350466432 361305600 365069200 381419520 385392640 402653184 406847488 419430400 438083040 462471168 467288576 476774400 481740800 503316480 508559360 536870912 547603800 578088960 584110720 610271232 616628224 629145600 635699200 671088640 700932864 722611200 730138400 762839040 770785280 805306368 813694976 838860800 876166080 924942336 934577152 953548800 963481600 1006632960 1017118720 1073741824 1095207600 1156177920 1168221440 1220542464 1233256448 1258291200 1271398400 1342177280 1401865728 1445222400 1460276800 1525678080 1541570560 1610612736 1627389952 1677721600 1752332160 1849884672 1869154304 1907097600 1926963200 2013265920 2034237440 2147483648 2190415200 2312355840 2336442880 2441084928 2466512896 2516582400 2542796800 2684354560 2803731456 2890444800 2920553600 3051356160 3083141120 3221225472 3254779904 3355443200 3504664320 3699769344 3738308608 3814195200 3853926400 4026531840 4068474880 4380830400 4624711680 4672885760 4882169856 4933025792 5033164800 5085593600 5368709120 5607462912 5780889600 5841107200 6102712320 6166282240 6442450944 6509559808 6710886400 7009328640 7399538688 7476617216 7628390400 7707852800 8053063680 8136949760 8761660800 9249423360 9345771520 9764339712 9866051584 10066329600 10171187200 10737418240 11214925824 11561779200 11682214400 12205424640 12332564480 13019119616 13421772800 14018657280 14799077376 14953234432 15256780800 15415705600 16106127360 16273899520 17523321600 18498846720 18691543040 19528679424 19732103168 20132659200 20342374400 22429851648 23123558400 23364428800 24410849280 24665128960 26038239232 26843545600 28037314560 29598154752 29906468864 30513561600 30831411200 32212254720 32547799040 35046643200 36997693440 37383086080 39057358848 39464206336 40265318400 40684748800 44859703296 46247116800 46728857600 48821698560 49330257920 52076478464 53687091200 56074629120 59196309504 59812937728 61027123200 61662822400 65095598080 70093286400 73995386880 74766172160 78114717696 78928412672 80530636800 81369497600 89719406592 92494233600 93457715200 97643397120 98660515840 104152956928 112149258240 118392619008 119625875456 122054246400 123325644800 130191196160 140186572800 147990773760 149532344320 156229435392 157856825344 161061273600 162738995200 179438813184 184988467200 186915430400 195286794240 197321031680 208305913856 224298516480 236785238016 239251750912 244108492800 246651289600 260382392320 280373145600 295981547520 299064688640 312458870784 315713650688 325477990400 358877626368 369976934400 373830860800 390573588480 394642063360 448597032960 473570476032 478503501824 488216985600 493302579200 520764784640 560746291200 591963095040 598129377280 624917741568 631427301376 650955980800 717755252736 739953868800 747661721600 781147176960 789284126720 897194065920 947140952064 957007003648 976433971200 986605158400 1041529569280 1121492582400 1183926190080 1196258754560 1262854602752 1301911961600 1435510505472 1479907737600 1495323443200 1562294353920 1578568253440 1794388131840 1894281904128 1914014007296 1952867942400 1973210316800 2242985164800 2367852380160 2392517509120 2525709205504 2603823923200 2871021010944 2959815475200 2990646886400 3124588707840 3157136506880 3588776263680 3788563808256 3828028014592 3905735884800 3946420633600 4485970329600 4735704760320 4785035018240 5051418411008 5207647846400 5742042021888 5919630950400 5981293772800 6314273013760 7177552527360 7577127616512 7656056029184 7811471769600 7892841267200 8971940659200 9471409520640 9570070036480 10102836822016 11484084043776 11839261900800 11962587545600 12628546027520 14355105054720 15154255233024 15312112058368 15622943539200 15785682534400 17943881318400 18942819041280 19140140072960 20205673644032 22968168087552 23678523801600 23925175091200 25257092055040 28710210109440 30308510466048 30624224116736 31571365068800 35887762636800 37885638082560 38280280145920 45936336175104 47357047603200 47850350182400 50514184110080 57420420218880 60617020932096 61248448233472 63142730137600 71775525273600 75771276165120 76560560291840 91872672350208 94714095206400 95700700364800 101028368220160 114840840437760 122496896466944 126285460275200 143551050547200 151542552330240 153121120583680 183745344700416 189428190412800 191401400729600 229681680875520 244993792933888 252570920550400 287102101094400 303085104660480 306242241167360 367490689400832 378856380825600 382802801459200 459363361751040 489987585867776 505141841100800 574204202188800 612484482334720 734981378801664 757712761651200 765605602918400 918726723502080 979975171735552 1148408404377600 1224968964669440 1469962757603328 1515425523302400 1531211205836800 1837453447004160 1959950343471104 2296816808755200 2449937929338880 2939925515206656 3062422411673600 3674906894008320 4593633617510400 4899875858677760 5879851030413312 6124844823347200 7349813788016640 9187267235020800 9799751717355520 12249689646694400 14699627576033280 18374534470041600 24499379293388800 29399255152066560 36749068940083200 48998758586777600 73498137880166400 146996275760332800
• Sum of all divisors σ(n): 491130884572784400
• Sum of proper divisors (its aliquot sum) s(n): 344134608812451600
• 146996275760332800 is an abundant number, because the sum of its proper divisors (344134608812451600) is greater than itself. Its abundance is 197138333052118800

Bases of 146996275760332800

• Binary: 1000001010001111000101010110000000000000000000000000000000₂
• Hexadecimal: 0x20A3C5580000000
• Base-36: 147DTWU0BZEO

Squares and roots of 146996275760332800

• 146996275760332800 squared (146996275760332800²) is 21607905087407804298745966755840000
• 146996275760332800 cubed (146996275760332800³) is 3176281574831695615087664868699871888174743552000000
• The square root of 146996275760332800 is 383400933.4369607401
• The cube root of 146996275760332800 is 527758.7517988519

Scales and comparisons

• 146,996,275,760,332,800 seconds is equal to 4,674,026,879 years, 43 weeks, 6 days, 2 hours, 40 minutes.
• To count from 1 to 146,996,275,760,332,800 would take you about fourteen billion, twenty-two million, eighty thousand, six hundred thirty-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 146996275760332800 cubic inches would be around 43979.9 feet tall.

Recreational maths with 146996275760332800

• 146996275760332800 backwards is 008233067572699641
• The number of decimal digits it has is: 18
• The sum of 146996275760332800's digits is 78
• More coming soon!