146681338213171200

Names of 146681338213171200

• Cardinal: 146681338213171200 can be written as One hundred forty-six quadrillion, six hundred eighty-one trillion, three hundred thirty-eight billion, two hundred thirteen million, one hundred seventy-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.466813382131712 × 10¹⁷

Factors of 146681338213171200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 987

Divisors of 146681338213171200

• Number of divisors d(n): 528
• 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 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 977 1024 1200 1280 1536 1600 1920 1954 2048 2400 2560 2931 3072 3200 3840 3908 4096 4800 4885 5120 5862 6144 6400 7680 7816 8192 9600 9770 10240 11724 12288 12800 14655 15360 15632 16384 19200 19540 20480 23448 24425 24576 25600 29310 30720 31264 32768 38400 39080 40960 46896 48850 49152 51200 58620 61440 62528 65536 73275 76800 78160 81920 93792 97700 98304 102400 117240 122880 125056 131072 146550 153600 156320 163840 187584 195400 196608 204800 234480 245760 250112 262144 293100 307200 312640 327680 375168 390800 393216 409600 468960 491520 500224 524288 586200 614400 625280 655360 750336 781600 786432 819200 937920 954529 983040 1000448 1048576 1172400 1228800 1250560 1310720 1500672 1563200 1572864 1638400 1875840 1909058 1966080 2000896 2097152 2344800 2457600 2501120 2621440 2863587 3001344 3126400 3145728 3276800 3751680 3818116 3932160 4001792 4689600 4772645 4915200 5002240 5242880 5727174 6002688 6252800 6291456 6553600 7503360 7636232 7864320 8003584 9379200 9545290 9830400 10004480 10485760 11454348 12005376 12505600 13107200 14317935 15006720 15272464 15728640 16007168 18758400 19090580 19660800 20008960 22908696 23863225 24010752 25011200 26214400 28635870 30013440 30544928 31457280 32014336 37516800 38181160 39321600 40017920 45817392 47726450 48021504 50022400 52428800 57271740 60026880 61089856 64028672 71589675 75033600 76362320 78643200 80035840 91634784 95452900 96043008 100044800 114543480 120053760 122179712 128057344 143179350 150067200 152724640 157286400 160071680 183269568 190905800 192086016 200089600 229086960 240107520 244359424 256114688 286358700 300134400 305449280 320143360 366539136 381811600 384172032 400179200 458173920 480215040 488718848 512229376 572717400 600268800 610898560 640286720 733078272 763623200 768344064 800358400 916347840 932574833 960430080 977437696 1024458752 1145434800 1200537600 1221797120 1280573440 1466156544 1527246400 1536688128 1600716800 1832695680 1865149666 1920860160 1954875392 2048917504 2290869600 2401075200 2443594240 2561146880 2797724499 2932313088 3054492800 3073376256 3201433600 3665391360 3730299332 3841720320 3909750784 4581739200 4662874165 4802150400 4887188480 5122293760 5595448998 5864626176 6108985600 6146752512 6402867200 7330782720 7460598664 7683440640 7819501568 9163478400 9325748330 9604300800 9774376960 10244587520 11190897996 11729252352 12217971200 12805734400 13988622495 14661565440 14921197328 15366881280 15639003136 18326956800 18651496660 19208601600 19548753920 22381795992 23314370825 23458504704 24435942400 25611468800 27977244990 29323130880 29842394656 30733762560 31278006272 36653913600 37302993320 38417203200 39097507840 44763591984 46628741650 46917009408 48871884800 51222937600 55954489980 58646261760 59684789312 62556012544 69943112475 73307827200 74605986640 76834406400 78195015680 89527183968 93257483300 93834018816 97743769600 111908979960 117292523520 119369578624 125112025088 139886224950 146615654400 149211973280 153668812800 156390031360 179054367936 186514966600 187668037632 195487539200 223817959920 234585047040 238739157248 250224050176 279772449900 293231308800 298423946560 312780062720 358108735872 373029933200 375336075264 390975078400 447635919840 469170094080 477478314496 500448100352 559544899800 586462617600 596847893120 625560125440 716217471744 746059866400 750672150528 781950156800 895271839680 938340188160 954956628992 1000896200704 1119089799600 1172925235200 1193695786240 1251120250880 1432434943488 1492119732800 1501344301056 1563900313600 1790543679360 1876680376320 1909913257984 2001792401408 2238179599200 2345850470400 2387391572480 2502240501760 2864869886976 2984239465600 3002688602112 3127800627200 3581087358720 3753360752640 3819826515968 4476359198400 4691700940800 4774783144960 5004481003520 5729739773952 5968478931200 6005377204224 6255601254400 7162174717440 7506721505280 7639653031936 8952718396800 9383401881600 9549566289920 10008962007040 11459479547904 11936957862400 12511202508800 14324349434880 15013443010560 15279306063872 17905436793600 18766803763200 19099132579840 22918959095808 23873915724800 25022405017600 28648698869760 30026886021120 30558612127744 35810873587200 37533607526400 38198265159680 45837918191616 47747831449600 50044810035200 57297397739520 61117224255488 71621747174400 75067215052800 76396530319360 91675836383232 95495662899200 114594795479040 122234448510976 143243494348800 150134430105600 152793060638720 183351672766464 190991325798400 229189590958080 244468897021952 286486988697600 305586121277440 366703345532928 381982651596800 458379181916160 488937794043904 572973977395200 611172242554880 733406691065856 763965303193600 916758363832320 977875588087808 1145947954790400 1222344485109760 1466813382131712 1527930606387200 1833516727664640 1955751176175616 2291895909580800 2444688970219520 2933626764263424 3055861212774400 3667033455329280 4583791819161600 4889377940439040 5867253528526848 6111722425548800 7334066910658560 9167583638323200 9778755880878080 12223444851097600 14668133821317120 18335167276646400 24446889702195200 29336267642634240 36670334553292800 48893779404390400 73340669106585600 146681338213171200
• Sum of all divisors σ(n): 485523129100974480
• Sum of proper divisors (its aliquot sum) s(n): 338841790887803280
• 146681338213171200 is an abundant number, because the sum of its proper divisors (338841790887803280) is greater than itself. Its abundance is 192160452674632080

Bases of 146681338213171200

• Binary: 1000001001000111011110011001100011011000000000000000000000₂
• Hexadecimal: 0x2091DE663600000
• Base-36: 144A70IS76DC

Squares and roots of 146681338213171200

• 146681338213171200 squared (146681338213171200²) is 21515414980006717723573160509440000
• 146681338213171200 cubed (146681338213171200³) is 3155909861479095434468033349608779744309936128000000
• The square root of 146681338213171200 is 382989997.5367126999
• The cube root of 146681338213171200 is 527381.5769598777

Scales and comparisons

• 146,681,338,213,171,200 seconds is equal to 4,664,012,840 years, 3 days, 13 hours, 20 minutes.
• To count from 1 to 146,681,338,213,171,200 would take you about thirteen billion, nine hundred ninety-two million, thirty-eight thousand, five hundred twenty 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 146681338213171200 cubic inches would be around 43948.5 feet tall.

Recreational maths with 146681338213171200

• 146681338213171200 backwards is 002171312833186641
• The number of decimal digits it has is: 18
• The sum of 146681338213171200's digits is 57
• More coming soon!