13354611007968000
13,354,611,007,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13354611007968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
13354611007968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13354611007968000:
28 × 32 × 53 × 23 × 472 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 47 × 47 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13354611007968000 from the Numbermatics database.
Names of 13354611007968000
- Cardinal: 13354611007968000 can be written as Thirteen quadrillion, three hundred fifty-four trillion, six hundred eleven billion, seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3354611007968 × 1016
Factors of 13354611007968000
Divisors of 13354611007968000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 47 48 50 60 64 69 72 75 80 90 92 94 96 97 100 115 120 125 128 138 141 144 150 160 180 184 188 192 194 200 207 225 230 235 240 250 256 276 282 288 291 300 320 345 360 368 375 376 384 388 400 414 423 450 460 470 480 485 500 552 564 575 576 582 600 640 690 705 720 736 750 752 768 776 800 828 846 873 900 920 940 960 970 1000 1035 1081 1104 1125 1128 1150 1152 1164 1175 1200 1280 1380 1410 1440 1455 1472 1500 1504 1552 1600 1656 1692 1725 1746 1800 1840 1880 1920 1940 2000 2070 2115 2162 2208 2209 2231 2250 2256 2300 2304 2328 2350 2400 2425 2760 2820 2875 2880 2910 2944 3000 3008 3104 3200 3243 3312 3384 3450 3492 3525 3600 3680 3760 3840 3880 4000 4140 4230 4324 4365 4416 4418 4462 4500 4512 4559 4600 4656 4700 4800 4850 5175 5405 5520 5640 5750 5760 5820 5875 5888 6000 6016 6208 6400 6486 6624 6627 6693 6768 6900 6984 7050 7200 7275 7360 7520 7760 8000 8280 8460 8625 8648 8730 8832 8836 8924 9000 9024 9118 9200 9312 9400 9409 9600 9700 9729 10350 10575 10810 11040 11045 11155 11280 11500 11520 11640 11750 12000 12032 12125 12416 12972 13248 13254 13386 13536 13677 13800 13968 14100 14400 14550 14720 15040 15520 16000 16215 16560 16920 17250 17296 17460 17625 17664 17672 17848 18000 18048 18236 18400 18624 18800 18818 19200 19400 19458 19881 20079 20700 21150 21620 21825 22080 22090 22310 22560 22795 23000 23280 23500 24000 24250 24832 25875 25944 26496 26508 26772 27025 27072 27354 27600 27936 28200 28227 28800 29100 29440 30080 31040 32000 32430 33120 33135 33465 33840 34500 34592 34920 35250 35344 35696 36000 36096 36375 36472 36800 37248 37600 37636 38800 38916 39762 40158 41031 41400 42300 43240 43650 44160 44180 44620 45120 45590 46000 46560 47000 47045 48000 48500 48645 50807 51750 51888 52875 52992 53016 53544 54050 54144 54708 55200 55225 55775 55872 56400 56454 57600 58200 60160 62080 64860 66240 66270 66930 67680 68385 69000 69184 69840 70500 70688 71392 72000 72750 72944 73600 74496 75200 75272 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10433289849975 11128842506640 11365626389760 11473033512000 11592544277750 11612705224320 11839194156000 11870765340416 12096567942000 12353941728000 12903005804800 13354611007968 13767640214400 13911053133300 14207032987200 14515881530400 14838456675520 15297378016000 15785592208000 16128757256000 16693263759960 17209550268000 17388816416625 17758791234000 17806148010624 18144851913000 18548070844400 18942710649600 19354508707200 20866579699950 22257685013280 22946067024000 23185088555500 23225410448640 23678388312000 24193135884000 26709222015936 27535280428800 27822106266600 28414065974400 29031763060800 29676913351040 31571184416000 32257514512000 33386527519920 34419100536000 34777632833250 35517582468000 35612296021248 36289703826000 37096141688800 38709017414400 41733159399900 44515370026560 45892134048000 46370177111000 47356776624000 48386271768000 52166449249875 53418444031872 55644212533200 56828131948800 58063526121600 59353826702080 64515029024000 66773055039840 68838201072000 69555265666500 71035164936000 72579407652000 74192283377600 83466318799800 89030740053120 92740354222000 94713553248000 96772543536000 104332898499750 106836888063744 111288425066400 116127052243200 133546110079680 137676402144000 139110531333000 142070329872000 145158815304000 148384566755200 166932637599600 178061480106240 185480708444000 193545087072000 208665796999500 222576850132800 267092220159360 278221062666000 284140659744000 290317630608000 296769133510400 333865275199200 370961416888000 417331593999000 445153700265600 534184440318720 556442125332000 580635261216000 667730550398400 741922833776000 834663187998000 890307400531200 1112884250664000 1335461100796800 1483845667552000 1669326375996000 2225768501328000 2670922201593600 3338652751992000 4451537002656000 6677305503984000 13354611007968000
- Sum of all divisors σ(n): 51766326919681920
- Sum of proper divisors (its aliquot sum) s(n): 38411715911713920
- 13354611007968000 is an abundant number, because the sum of its proper divisors (38411715911713920) is greater than itself. Its abundance is 25057104903745920
Bases of 13354611007968000
- Binary: 1011110111000111110010101011010011111001010011000000002
- Hexadecimal: 0x2F71F2AD3E5300
- Base-36: 3NHTBLOB0G0
Squares and roots of 13354611007968000
- 13354611007968000 squared (133546110079680002) is 178345635174140080959489024000000
- 13354611007968000 cubed (133546110079680003) is 2381736582719616061790030839374872543232000000000
-
The
square root of 13354611007968000 is 115562152.1431995485 -
The
cube root of 13354611007968000 is 237252.2906250883
Scales and comparisons
How big is 13354611007968000?- 13,354,611,007,968,000 seconds is equal to 424,635,321 years, 27 weeks, 3 days, 16 hours.
-
To count from 1 to 13,354,611,007,968,000 would take you about one billion, two hundred seventy-three million, nine hundred five thousand, nine hundred sixty-four 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 13354611007968000 cubic inches would be around 19771 feet tall.
Recreational maths with 13354611007968000
- 13354611007968000 backwards is 00086970011645331
- The number of decimal digits it has is: 17
- The sum of 13354611007968000's digits is 54
- More coming soon!
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"Number 13354611007968000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 13354611007968000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/13354611007968000/
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The information we have on file for 13354611007968000 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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