12180398032454400
12,180,398,032,454,400 is an even composite number composed of five prime numbers multiplied together.
12180398032454400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 12180398032454400:
28 × 32 × 52 × 7 × 30209320517
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 30209320517)See below for interesting mathematical facts about the number 12180398032454400 from the Numbermatics database.
Names of 12180398032454400
- Cardinal: 12180398032454400 can be written as Twelve quadrillion, one hundred eighty trillion, three hundred ninety-eight billion, thirty-two million, four hundred fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.21803980324544 × 1016
Factors of 12180398032454400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 30209320534
Divisors of 12180398032454400
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1050 1120 1152 1200 1260 1280 1344 1400 1440 1575 1600 1680 1792 1800 1920 2016 2100 2240 2304 2400 2520 2688 2800 2880 3150 3200 3360 3600 3840 4032 4200 4480 4800 5040 5376 5600 5760 6300 6400 6720 7200 8064 8400 8960 9600 10080 11200 11520 12600 13440 14400 16128 16800 19200 20160 22400 25200 26880 28800 33600 40320 44800 50400 57600 67200 80640 100800 134400 201600 403200 30209320517 60418641034 90627961551 120837282068 151046602585 181255923102 211465243619 241674564136 271883884653 302093205170 362511846204 422930487238 453139807755 483349128272 543767769306 604186410340 634395730857 725023692408 755233012925 845860974476 906279615510 966698256544 1057326218095 1087535538612 1208372820680 1268791461714 1359419423265 1450047384816 1510466025850 1691721948952 1812559231020 1903187192571 1933396513088 2114652436190 2175071077224 2265699038775 2416745641360 2537582923428 2718838846530 2900094769632 3020932051700 3171978654285 3383443897904 3625118462040 3806374385142 3866793026176 4229304872380 4350142154448 4531398077550 4833491282720 5075165846856 5286631090475 5437677693060 5800189539264 6041864103400 6343957308570 6766887795808 6797097116325 7250236924080 7612748770284 7733586052352 8458609744760 8700284308896 9062796155100 9515935962855 9666982565440 10150331693712 10573262180950 10875355386120 11600379078528 12083728206800 12687914617140 13533775591616 13594194232650 14500473848160 15225497540568 15859893271425 16917219489520 17400568617792 18125592310200 19031871925710 19333965130880 20300663387424 21146524361900 21750710772240 23200758157056 24167456413600 25375829234280 27067551183232 27188388465300 29000947696320 30450995081136 31719786542850 33834438979040 34801137235584 36251184620400 38063743851420 38667930261760 40601326774848 42293048723800 43501421544480 47579679814275 48334912827200 50751658468560 54135102366464 54376776930600 58001895392640 60901990162272 63439573085700 67668877958080 69602274471168 72502369240800 76127487702840 81202653549696 84586097447600 87002843088960 95159359628550 96669825654400 101503316937120 108753553861200 116003790785280 121803980324544 126879146171400 135337755916160 145004738481600 152254975405680 162405307099392 169172194895200 174005686177920 190318719257100 193339651308800 203006633874240 217507107722400 243607960649088 253758292342800 270675511832320 290009476963200 304509950811360 338344389790400 348011372355840 380637438514200 406013267748480 435014215444800 487215921298176 507516584685600 580018953926400 609019901622720 676688779580800 761274877028400 812026535496960 870028430889600 1015033169371200 1218039803245440 1353377559161600 1522549754056800 1740056861779200 2030066338742400 2436079606490880 3045099508113600 4060132677484800 6090199016227200 12180398032454400
- Sum of all divisors σ(n): 49768768017866352
- Sum of proper divisors (its aliquot sum) s(n): 37588369985411952
- 12180398032454400 is an abundant number, because the sum of its proper divisors (37588369985411952) is greater than itself. Its abundance is 25407971952957552
Bases of 12180398032454400
- Binary: 1010110100011000000001111010011111001010000011000000002
- Hexadecimal: 0x2B4601E9F28300
- Base-36: 3BXL9LVYRK0
Squares and roots of 12180398032454400
- 12180398032454400 squared (121803980324544002) is 148362096229019018755688079360000
- 12180398032454400 cubed (121803980324544003) is 1807109384998753613868820412764988482781184000000
-
The
square root of 12180398032454400 is 110364840.5628096759 -
The
cube root of 12180398032454400 is 230084.3926754127
Scales and comparisons
How big is 12180398032454400?- 12,180,398,032,454,400 seconds is equal to 387,298,980 years, 51 weeks, 2 days, 8 hours.
-
To count from 1 to 12,180,398,032,454,400 would take you about one billion, one hundred sixty-one million, eight hundred ninety-six thousand, nine hundred forty-two 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 12180398032454400 cubic inches would be around 19173.7 feet tall.
Recreational maths with 12180398032454400
- 12180398032454400 backwards is 00445423089308121
- The number of decimal digits it has is: 17
- The sum of 12180398032454400's digits is 54
- More coming soon!
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