13218890121216000
13,218,890,121,216,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13218890121216000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4160 divisors.
13218890121216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, one hundred sixty divisors.
Prime factorization of 13218890121216000:
225 × 34 × 53 × 13 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 41 × 73)See below for interesting mathematical facts about the number 13218890121216000 from the Numbermatics database.
Names of 13218890121216000
- Cardinal: 13218890121216000 can be written as Thirteen quadrillion, two hundred eighteen trillion, eight hundred ninety billion, one hundred twenty-one million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3218890121216 × 1016
Factors of 13218890121216000
Divisors of 13218890121216000
- Number of divisors d(n): 4160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 72 73 75 78 80 81 82 90 96 100 104 108 117 120 123 125 128 130 135 144 146 150 156 160 162 164 180 192 195 200 205 208 216 219 225 234 240 246 250 256 260 270 288 292 300 312 320 324 325 328 351 360 365 369 375 384 390 400 405 410 416 432 438 450 468 480 492 500 512 520 533 540 576 584 585 600 615 624 640 648 650 656 657 675 702 720 730 738 750 768 780 800 810 820 832 864 876 900 936 949 960 975 984 1000 1024 1025 1040 1053 1066 1080 1095 1107 1125 1152 1168 1170 1200 1230 1248 1280 1296 1300 1312 1314 1350 1404 1440 1460 1476 1500 1536 1560 1599 1600 1620 1625 1640 1664 1728 1752 1755 1800 1825 1845 1872 1898 1920 1950 1968 1971 2000 2025 2048 2050 2080 2106 2132 2160 2190 2214 2250 2304 2336 2340 2400 2460 2496 2560 2592 2600 2624 2628 2665 2700 2808 2847 2880 2920 2925 2952 2993 3000 3072 3075 3120 3198 3200 3240 3250 3280 3285 3321 3328 3375 3456 3504 3510 3600 3650 3690 3744 3796 3840 3900 3936 3942 4000 4050 4096 4100 4160 4212 4264 4320 4380 4428 4500 4608 4672 4680 4745 4797 4800 4875 4920 4992 5120 5125 5184 5200 5248 5256 5265 5330 5400 5475 5535 5616 5694 5760 5840 5850 5904 5913 5986 6000 6144 6150 6240 6396 6400 6480 6500 6560 6570 6642 6656 6750 6912 7008 7020 7200 7300 7380 7488 7592 7680 7800 7872 7884 7995 8000 8100 8192 8200 8320 8424 8528 8541 8640 8760 8775 8856 8979 9000 9125 9216 9225 9344 9360 9490 9594 9600 9750 9840 9855 9984 10125 10240 10250 10368 10400 10496 10512 10530 10660 10800 10950 11070 11232 11388 11520 11680 11700 11808 11826 11972 12000 12288 12300 12480 12792 12800 12960 13000 13120 13140 13284 13312 13325 13500 13824 14016 14040 14235 14391 14400 14600 14625 14760 14965 14976 15184 15360 15375 15600 15744 15768 15990 16000 16200 16384 16400 16425 16605 16640 16848 17056 17082 17280 17520 17550 17712 17958 18000 18250 18432 18450 18688 18720 18980 19188 19200 19500 19680 19710 19968 20250 20480 20500 20736 20800 20992 21024 21060 21320 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18830327808000 19583540920320 20120076288000 20150747136000 20336754032640 20399521792000 20654515814400 21184118784000 21494130278400 22031483535360 22596393369600 22635085824000 22949462016000 24479426150400 24800919552000 25420942540800 25818144768000 26437780242432 26867662848000 27539354419200 28245491712000 29375311380480 30180114432000 30599282688000 31776178176000 32241195417600 32639234867200 33047225303040 33894590054400 34424193024000 35250373656576 35823550464000 36216137318400 36719139225600 37660655616000 40301494272000 40673508065280 40799043584000 41309031628800 42368237568000 44062967070720 45270171648000 45898924032000 48958852300800 50841885081600 51636289536000 52875560484864 53735325696000 55078708838400 56490983424000 58750622760960 60360228864000 61198565376000 63552356352000 64482390835200 66094450606080 67789180108800 68848386048000 73438278451200 80602988544000 81598087168000 82618063257600 84736475136000 88125934141440 90540343296000 91797848064000 97917704601600 101683770163200 103272579072000 105751120969728 107470651392000 110157417676800 112981966848000 122397130752000 127104712704000 132188901212160 137696772096000 146876556902400 161205977088000 163196174336000 165236126515200 169472950272000 176251868282880 181080686592000 183595696128000 203367540326400 206545158144000 220314835353600 244794261504000 254209425408000 264377802424320 275393544192000 293753113804800 322411954176000 330472253030400 338945900544000 367191392256000 413090316288000 440629670707200 489588523008000 508418850816000 528755604848640 550787088384000 660944506060800 734382784512000 826180632576000 881259341414400 1016837701632000 1101574176768000 1321889012121600 1468765569024000 1652361265152000 2203148353536000 2643778024243200 3304722530304000 4406296707072000 6609445060608000 13218890121216000
- Sum of all divisors σ(n): 55118691025253856
- Sum of proper divisors (its aliquot sum) s(n): 41899800904037856
- 13218890121216000 is an abundant number, because the sum of its proper divisors (41899800904037856) is greater than itself. Its abundance is 28680910782821856
Bases of 13218890121216000
- Binary: 1011101111011010000010101100100000000000000000000000002
- Hexadecimal: 0x2EF682B2000000
- Base-36: 3M5PEACJK00
Squares and roots of 13218890121216000
- 13218890121216000 squared (132188901212160002) is 174739056036781955173318656000000
- 13218890121216000 cubed (132188901212160003) is 2309856381635226035975591726900834205696000000000
-
The
square root of 13218890121216000 is 114973432.2407398605 -
The
cube root of 13218890121216000 is 236445.8327687445
Scales and comparisons
How big is 13218890121216000?- 13,218,890,121,216,000 seconds is equal to 420,319,817 years, 7 weeks, 3 days.
-
To count from 1 to 13,218,890,121,216,000 would take you about one billion, two hundred sixty million, nine hundred fifty-nine thousand, four hundred fifty-one 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 13218890121216000 cubic inches would be around 19703.8 feet tall.
Recreational maths with 13218890121216000
- 13218890121216000 backwards is 00061212109881231
- 13218890121216000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13218890121216000's digits is 45
- More coming soon!
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"Number 13218890121216000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13218890121216000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13218890121216000/
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The information we have on file for 13218890121216000 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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