1337426943216000
1,337,426,943,216,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 1337426943216000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
1337426943216000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 1337426943216000:
27 × 3 × 53 × 7 × 13 × 61 × 257 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 61 × 257 × 19531)See below for interesting mathematical facts about the number 1337426943216000 from the Numbermatics database.
Names of 1337426943216000
- Cardinal: 1337426943216000 can be written as One quadrillion, three hundred thirty-seven trillion, four hundred twenty-six billion, nine hundred forty-three million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.337426943216 × 1015
Factors of 1337426943216000
Divisors of 1337426943216000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 61 64 65 70 75 78 80 84 91 96 100 104 105 112 120 122 125 128 130 140 150 156 160 168 175 182 183 192 195 200 208 210 224 240 244 250 257 260 273 280 300 305 312 320 325 336 350 364 366 375 384 390 400 416 420 427 448 455 480 488 500 514 520 525 546 560 600 610 624 640 650 672 700 728 732 750 771 780 793 800 832 840 854 875 896 910 915 960 975 976 1000 1028 1040 1050 1092 1120 1200 1220 1248 1281 1285 1300 1344 1365 1400 1456 1464 1500 1525 1542 1560 1586 1600 1625 1664 1680 1708 1750 1799 1820 1830 1920 1950 1952 2000 2056 2080 2100 2135 2184 2240 2275 2379 2400 2440 2496 2562 2570 2600 2625 2688 2730 2800 2912 2928 3000 3050 3084 3120 3172 3200 3250 3341 3360 3416 3500 3598 3640 3660 3855 3900 3904 3965 4000 4112 4160 4200 4270 4368 4480 4550 4575 4758 4800 4875 4880 4992 5124 5140 5200 5250 5397 5460 5551 5600 5824 5856 6000 6100 6168 6240 6344 6405 6425 6500 6682 6720 6825 6832 7000 7196 7280 7320 7625 7710 7800 7808 7930 8000 8224 8320 8400 8540 8736 8995 9100 9150 9516 9600 9750 9760 10023 10248 10280 10400 10500 10675 10794 10920 11102 11200 11375 11648 11712 11895 12000 12200 12336 12480 12688 12810 12850 13000 13364 13440 13650 13664 14000 14392 14560 14640 15250 15420 15600 15677 15860 16000 16448 16653 16705 16800 17080 17472 17990 18200 18300 19032 19275 19500 19520 19531 19825 20046 20496 20560 20800 21000 21350 21588 21840 22204 22400 22750 22875 23387 23424 23790 24000 24400 24672 24960 25376 25620 25700 26000 26728 26985 27300 27328 27755 28000 28784 29120 29280 30500 30840 31200 31354 31720 32025 32125 32896 33306 33410 33600 34125 34160 34944 35980 36400 36600 38064 38550 39000 39040 39062 39650 40092 40992 41120 41600 42000 42700 43176 43680 44408 44975 45500 45750 46774 47031 47580 48000 48800 49344 50115 50752 51240 51400 52000 53375 53456 53970 54600 54656 55510 56000 57568 58240 58560 58593 59475 61000 61680 62400 62708 63440 64050 64250 66612 66820 67200 68250 68320 70161 71960 72800 73200 76128 77100 78000 78124 78385 79300 80184 81984 82240 83265 83525 84000 85400 86352 87360 88816 89950 91000 91500 93548 94062 95160 96375 97600 97655 98688 99125 100230 101504 102480 102800 104000 106750 106912 107940 109200 109739 111020 112000 115136 116935 117120 117186 118950 122000 123360 124800 125416 126880 128100 128500 133224 133640 134925 136500 136640 136717 138775 140322 143920 145600 146400 152256 154200 156000 156248 156770 158600 160125 160368 163968 164480 166530 167050 168000 170800 172704 174720 177632 179900 182000 183000 187096 188124 190320 192750 195200 195310 198250 200460 203801 204960 205600 208000 213500 213824 215880 218400 219478 222040 224875 230272 233870 234372 235155 237900 244000 246720 250575 250832 253760 253903 256200 257000 266448 267280 269850 273000 273280 273434 277550 280644 287840 291200 292800 292965 297375 304512 308400 312000 312496 313540 317200 320250 320736 329217 333060 334100 336000 341600 345408 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391518426000 398043733100 400307376000 411515982528 417945919755 421635228000 428662481800 433666324000 438500637120 445808981072 456771497000 459281230500 477652479720 489899979200 497554666375 509495978368 514394978160 520399588800 522024568000 535828102250 548125796400 557261226340 562180304000 587879975040 597065599650 612374974000 626429481600 636869972960 642993722700 650499486000 668713471608 685157245500 685859970880 696576532925 730834395200 734849968800 743427984000 764243967552 783036852000 796087466200 803742153375 823031965056 835891839510 843270456000 857324963600 867332648000 877001274240 891617962144 913542994000 918562461000 955304959440 979799958400 995109332750 1028789956320 1040799177600 1044049136000 1071656204500 1096251592800 1114522452680 1194131199300 1224749948000 1273739945920 1285987445400 1300998972000 1337426943216 1370314491000 1371719941760 1393153065850 1461668790400 1469699937600 1492663999125 1528487935104 1566073704000 1592174932400 1607484306750 1671783679020 1686540912000 1714649927200 1734665296000 1783235924288 1827085988000 1837124922000 1910609918880 1990218665500 2057579912640 2089729598775 2143312409000 2192503185600 2229044905360 2388262398600 2449499896000 2547479891840 2571974890800 2601997944000 2674853886432 2740628982000 2786306131700 2939399875200 2985327998250 3132147408000 3184349864800 3214968613500 3343567358040 3429299854400 3482882664625 3566471848576 3654171976000 3674249844000 3821219837760 3980437331000 4115159825280 4179459197550 4286624818000 4385006371200 4458089810720 4776524797200 4898999792000 5143949781600 5203995888000 5349707772864 5481257964000 5572612263400 5970655996500 6368699729600 6429937227000 6687134716080 6858599708800 6965765329250 7308343952000 7348499688000 7642439675520 7960874662000 8358918395100 8573249636000 8916179621440 9553049594400 10287899563200 10448647993875 10699415545728 10962515928000 11145224526800 11941311993000 12737399459200 12859874454000 13374269432160 13931530658500 14696999376000 15921749324000 16717836790200 17146499272000 17832359242880 19106099188800 20575799126400 20897295987750 21925031856000 22290449053600 23882623986000 25719748908000 26748538864320 27863061317000 31843498648000 33435673580400 34292998544000 38212198377600 41794591975500 44580898107200 47765247972000 51439497816000 53497077728640 55726122634000 63686997296000 66871347160800 83589183951000 89161796214400 95530495944000 102878995632000 111452245268000 133742694321600 167178367902000 191060991888000 222904490536000 267485388643200 334356735804000 445808981072000 668713471608000 1337426943216000
- Sum of all divisors σ(n): 5568021503815680
- Sum of proper divisors (its aliquot sum) s(n): 4230594560599680
- 1337426943216000 is an abundant number, because the sum of its proper divisors (4230594560599680) is greater than itself. Its abundance is 2893167617383680
Bases of 1337426943216000
- Binary: 1001100000001100001111110011101110100001001100000002
- Hexadecimal: 0x4C061F9DD0980
- Base-36: D62TGENEYO
Squares and roots of 1337426943216000
- 1337426943216000 squared (13374269432160002) is 1788710828440093688422656000000
- 1337426943216000 cubed (13374269432160003) is 2392270055577993499283767542719901696000000000
-
The
square root of 1337426943216000 is 36570848.2703915415 -
The
cube root of 1337426943216000 is 110176.7665667869
Scales and comparisons
How big is 1337426943216000?- 1,337,426,943,216,000 seconds is equal to 42,526,039 years, 44 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 1,337,426,943,216,000 would take you about one hundred twenty-seven million, five hundred seventy-eight thousand, one hundred nineteen 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 1337426943216000 cubic inches would be around 9181.4 feet tall.
Recreational maths with 1337426943216000
- 1337426943216000 backwards is 0006123496247331
- The number of decimal digits it has is: 16
- The sum of 1337426943216000's digits is 51
- More coming soon!
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MLA style:
"Number 1337426943216000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 1337426943216000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/1337426943216000/
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Numbermatics. 2024. "Number 1337426943216000 - Facts about the integer". https://numbermatics.com/n/1337426943216000/
The information we have on file for 1337426943216000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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