13987344384000
13,987,344,384,000 is an even composite number composed of six prime numbers multiplied together.
13987344384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13987344384000:
215 × 35 × 53 × 13 × 23 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 23 × 47)See below for interesting mathematical facts about the number 13987344384000 from the Numbermatics database.
Names of 13987344384000
- Cardinal: 13987344384000 can be written as Thirteen trillion, nine hundred eighty-seven billion, three hundred forty-four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3987344384 × 1013
Factors of 13987344384000
Divisors of 13987344384000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 32 36 39 40 45 46 47 48 50 52 54 60 64 65 69 72 75 78 80 81 90 92 94 96 100 104 108 115 117 120 125 128 130 135 138 141 144 150 156 160 162 180 184 188 192 195 200 207 208 216 225 230 234 235 240 243 250 256 260 270 276 282 288 299 300 312 320 324 325 345 351 360 368 375 376 384 390 400 405 414 416 423 432 450 460 468 470 480 486 500 512 520 540 552 564 575 576 585 598 600 611 621 624 640 648 650 675 690 702 705 720 736 750 752 768 780 800 810 828 832 846 864 897 900 920 936 940 960 972 975 1000 1024 1035 1040 1053 1080 1081 1104 1125 1128 1150 1152 1170 1175 1196 1200 1215 1222 1242 1248 1269 1280 1296 1300 1350 1380 1404 1410 1440 1472 1495 1500 1504 1536 1560 1600 1620 1625 1656 1664 1692 1725 1728 1755 1794 1800 1833 1840 1863 1872 1880 1920 1944 1950 2000 2025 2048 2070 2080 2106 2115 2160 2162 2208 2250 2256 2300 2304 2340 2350 2392 2400 2430 2444 2484 2496 2538 2560 2592 2600 2691 2700 2760 2808 2820 2875 2880 2925 2944 2990 3000 3008 3055 3072 3105 3120 3159 3200 3240 3243 3250 3312 3328 3375 3384 3450 3456 3510 3525 3588 3600 3666 3680 3726 3744 3760 3807 3840 3888 3900 4000 4050 4096 4140 4160 4212 4230 4320 4324 4416 4485 4500 4512 4600 4608 4680 4700 4784 4800 4860 4875 4888 4968 4992 5076 5120 5175 5184 5200 5265 5382 5400 5405 5499 5520 5589 5616 5640 5750 5760 5850 5875 5888 5980 6000 6016 6075 6110 6144 6210 6240 6318 6345 6400 6480 6486 6500 6624 6656 6750 6768 6900 6912 7020 7050 7176 7200 7332 7360 7452 7475 7488 7520 7614 7680 7776 7800 8000 8073 8100 8192 8280 8320 8424 8460 8625 8640 8648 8775 8832 8970 9000 9024 9165 9200 9216 9315 9360 9400 9568 9600 9720 9729 9750 9776 9936 9984 10125 10152 10240 10350 10368 10400 10530 10575 10764 10800 10810 10998 11040 11178 11232 11280 11421 11500 11520 11700 11750 11776 11960 12000 12032 12150 12220 12288 12420 12480 12636 12690 12800 12960 12972 13000 13248 13312 13455 13500 13536 13800 13824 14040 14053 14100 14352 14400 14625 14664 14720 14904 14950 14976 15040 15228 15275 15360 15525 15552 15600 15795 16000 16146 16200 16215 16384 16497 16560 16640 16848 16920 17250 17280 17296 17550 17625 17664 17940 18000 18048 18330 18400 18432 18630 18720 18800 19035 19136 19200 19440 19458 19500 19552 19872 19968 20250 20304 20480 20700 20736 20800 21060 21150 21528 21600 21620 21996 22080 22356 22425 22464 22560 22842 23000 23040 23400 23500 23552 23920 24000 24064 24219 24300 24440 24576 24840 24960 25272 25380 25600 25875 25920 25944 26000 26325 26496 26624 26910 27000 27025 27072 27495 27600 27648 27945 28080 28106 28200 28704 28800 29187 29250 29328 29440 29808 29900 29952 30080 30375 30456 30550 30720 31050 31104 31200 31590 31725 32000 32292 32400 32430 32768 32994 33120 33280 33696 33840 34500 34560 34592 35100 35250 35328 35880 36000 36096 36660 36800 36864 37260 37375 37440 37600 38070 38272 38400 38880 38916 39000 39104 39744 39936 40365 40500 40608 40960 41400 41472 41600 42120 42159 42300 43056 43200 43240 43875 43992 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2185522560 2204467200 2213888000 2241561600 2252390400 2276586000 2289254400 2302443520 2325024000 2331224064 2339020800 2375568000 2380824576 2390999040 2428358400 2432581632 2480025600 2490624000 2502656000 2533939200 2543616000 2587852800 2590248960 2598912000 2656665600 2689873920 2698176000 2702868480 2731903200 2755584000 2801952000 2815488000 2861568000 2869198848 2878054400 2914030080 2923776000 2976030720 2988748800 3035448000 3040727040 3100032000 3108298752 3118694400 3167424000 3234816000 3237811200 3306700800 3320832000 3362342400 3378585600 3414879000 3453665280 3496836096 3586498560 3597568000 3642537600 3674112000 3720038400 3735936000 3753984000 3800908800 3815424000 3885373440 3898368000 3968040960 3984998400 4047264000 4054302720 4133376000 4144398336 4202928000 4223232000 4303798272 4313088000 4317081600 4371045120 4427776000 4483123200 4504780800 4553172000 4578508800 4650048000 4662448128 4678041600 4751136000 4781998080 4856716800 4865163264 4960051200 4981248000 5067878400 5180497920 5197824000 5379747840 5396352000 5463806400 5511168000 5603904000 5630976000 5723136000 5756108800 5828060160 5847552000 5952061440 5977497600 6070896000 6081454080 6200064000 6216597504 6334848000 6469632000 6475622400 6613401600 6641664000 6724684800 6757171200 6829758000 6907330560 6993672192 7172997120 7195136000 7285075200 7440076800 7471872000 7507968000 7601817600 7630848000 7770746880 7796736000 7969996800 8094528000 8108605440 8266752000 8405856000 8446464000 8607596544 8634163200 8742090240 8966246400 9106344000 9300096000 9324896256 9356083200 9502272000 9713433600 9920102400 9962496000 10135756800 10360995840 10759495680 10792704000 10927612800 11022336000 11207808000 11261952000 11446272000 11512217600 11656120320 11695104000 11904122880 11954995200 12141792000 12162908160 12400128000 12433195008 12669696000 12939264000 12951244800 13283328000 13449369600 13514342400 13659516000 13987344384 14345994240 14390272000 14570150400 14880153600 14943744000 15203635200 15541493760 15593472000 16189056000 16533504000 16811712000 16892928000 17268326400 17484180480 17932492800 18212688000 18600192000 18649792512 19004544000 19426867200 19840204800 19924992000 20271513600 20721991680 21518991360 21585408000 21855225600 22415616000 22523904000 22892544000 23312240640 23390208000 23909990400 24283584000 24325816320 24800256000 25339392000 25902489600 26898739200 27319032000 27974688768 28780544000 29140300800 29760307200 29887488000 30407270400 31082987520 32378112000 33067008000 33623424000 33785856000 34536652800 34968360960 35864985600 36425376000 37200384000 37299585024 38009088000 38853734400 39849984000 40543027200 43037982720 43170816000 43710451200 44831232000 46624481280 46780416000 48567168000 49600512000 50678784000 51804979200 53797478400 54638064000 55949377536 57561088000 58280601600 59520614400 59774976000 60814540800 62165975040 64756224000 67246848000 67571712000 69936721920 71729971200 72850752000 74400768000 76018176000 77707468800 86341632000 87420902400 89662464000 93248962560 97134336000 99201024000 101357568000 103609958400 107594956800 109276128000 111898755072 116561203200 119549952000 121629081600 129512448000 134493696000 139873443840 145701504000 148801536000 152036352000 155414937600 172683264000 174841804800 179324928000 186497925120 194268672000 202715136000 215189913600 218552256000 233122406400 259024896000 268987392000 279746887680 291403008000 297603072000 304072704000 310829875200 349683609600 358649856000 388537344000 437104512000 466244812800 518049792000 537974784000 559493775360 582806016000 608145408000 699367219200 777074688000 874209024000 932489625600 1075949568000 1165612032000 1398734438400 1554149376000 1748418048000 2331224064000 2797468876800 3496836096000 4662448128000 6993672192000 13987344384000
- Sum of all divisors σ(n): 60017762488320
- Sum of proper divisors (its aliquot sum) s(n): 46030418104320
- 13987344384000 is an abundant number, because the sum of its proper divisors (46030418104320) is greater than itself. Its abundance is 32043073720320
Bases of 13987344384000
- Binary: 110010111000101011101011000110000000000000002
- Hexadecimal: 0xCB8AEB18000
- Base-36: 4YHP3PC00
Squares and roots of 13987344384000
- 13987344384000 squared (139873443840002) is 195645802916616339456000000
- 13987344384000 cubed (139873443840003) is 2736565222678904375972519215104000000000
-
The
square root of 13987344384000 is 3739965.8265818419 -
The
cube root of 13987344384000 is 24094.1581106665
Scales and comparisons
How big is 13987344384000?- 13,987,344,384,000 seconds is equal to 444,754 years, 14 weeks, 6 days.
-
To count from 1 to 13,987,344,384,000 would take you about one million, one hundred eleven thousand, eight hundred eighty-five 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 13987344384000 cubic inches would be around 2007.8 feet tall.
Recreational maths with 13987344384000
- 13987344384000 backwards is 00048344378931
- 13987344384000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13987344384000's digits is 54
- More coming soon!
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"Number 13987344384000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 13987344384000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13987344384000/
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The information we have on file for 13987344384000 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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