213051368448000
213,051,368,448,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 213051368448000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
213051368448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 213051368448000:
213 × 34 × 53 × 23 × 29 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 29 × 3851)See below for interesting mathematical facts about the number 213051368448000 from the Numbermatics database.
Names of 213051368448000
- Cardinal: 213051368448000 can be written as Two hundred thirteen trillion, fifty-one billion, three hundred sixty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.13051368448 × 1014
Factors of 213051368448000
Divisors of 213051368448000
- Number of divisors d(n): 2240
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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 27 29 30 32 36 40 45 46 48 50 54 58 60 64 69 72 75 80 81 87 90 92 96 100 108 115 116 120 125 128 135 138 144 145 150 160 162 174 180 184 192 200 207 216 225 230 232 240 250 256 261 270 276 288 290 300 320 324 345 348 360 368 375 384 400 405 414 432 435 450 460 464 480 500 512 522 540 552 575 576 580 600 621 640 648 667 675 690 696 720 725 736 750 768 783 800 810 828 864 870 900 920 928 960 1000 1024 1035 1044 1080 1104 1125 1150 1152 1160 1200 1242 1280 1296 1305 1334 1350 1380 1392 1440 1450 1472 1500 1536 1566 1600 1620 1656 1725 1728 1740 1800 1840 1856 1863 1920 2000 2001 2025 2048 2070 2088 2160 2175 2208 2250 2300 2304 2320 2349 2400 2484 2560 2592 2610 2668 2700 2760 2784 2875 2880 2900 2944 3000 3072 3105 3132 3200 3240 3312 3335 3375 3450 3456 3480 3600 3625 3680 3712 3726 3840 3851 3915 4000 4002 4050 4096 4140 4176 4320 4350 4416 4500 4600 4608 4640 4698 4800 4968 5120 5175 5184 5220 5336 5400 5520 5568 5750 5760 5800 5888 6000 6003 6144 6210 6264 6400 6480 6525 6624 6670 6750 6900 6912 6960 7200 7250 7360 7424 7452 7680 7702 7830 8000 8004 8100 8192 8280 8352 8625 8640 8700 8832 9000 9200 9216 9280 9315 9396 9600 9936 10005 10125 10240 10350 10368 10440 10672 10800 10875 11040 11136 11500 11520 11553 11600 11745 11776 12000 12006 12288 12420 12528 12800 12960 13050 13248 13340 13500 13800 13824 13920 14400 14500 14720 14848 14904 15360 15404 15525 15660 16000 16008 16200 16560 16675 16704 17250 17280 17400 17664 18000 18009 18400 18432 18560 18630 18792 19200 19255 19575 19872 20010 20250 20480 20700 20736 20880 21344 21600 21750 22080 22272 23000 23040 23106 23200 23490 23552 24000 24012 24576 24840 25056 25600 25875 25920 26100 26496 26680 27000 27600 27648 27840 28800 29000 29440 29696 29808 30015 30720 30808 31050 31320 32000 32016 32400 32625 33120 33350 33408 34500 34560 34659 34800 35328 36000 36018 36800 36864 37120 37260 37584 38400 38510 39150 39744 40020 40500 40960 41400 41472 41760 42688 43200 43500 44160 44544 46000 46080 46212 46400 46575 46980 47104 48000 48024 49680 50025 50112 51200 51750 51840 52200 52992 53360 54000 54027 55200 55296 55680 57600 57765 58000 58725 58880 59392 59616 60030 61440 61616 62100 62640 64000 64032 64800 65250 66240 66700 66816 69000 69120 69318 69600 70656 72000 72036 73600 73728 74240 74520 75168 76800 77020 77625 78300 79488 80040 81000 82800 82944 83375 83520 85376 86400 87000 88320 88573 89088 90045 92000 92160 92424 92800 93150 93960 94208 96000 96048 96275 97875 99360 100050 100224 102400 103500 103680 103977 104400 105984 106720 108000 108054 110400 110592 111360 111679 115200 115530 116000 117450 117760 118784 119232 120060 122880 123232 124200 125280 128000 128064 129600 130500 132480 133400 133632 138000 138240 138636 139200 141312 144000 144072 147200 148480 149040 150075 150336 153600 154040 155250 156600 158976 160080 162000 165600 165888 166750 167040 170752 172800 173295 174000 176640 177146 178176 180090 184000 184320 184848 185600 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315631656960 319417344000 328782976000 332892763200 343077888000 355085614080 367329945600 369880848000 370524119040 385962624000 394539571200 408144384000 416115954000 426102736896 443857017600 459162432000 463155148800 473447485440 489773260800 493174464000 514616832000 526052761600 532628421120 554821272000 568136982528 578943936000 591809356800 612216576000 617540198400 657565952000 665785526400 710171228160 734659891200 739761696000 771925248000 789079142400 816288768000 832231908000 852205473792 887714035200 918324864000 926310297600 946894970880 986348928000 1029233664000 1065256842240 1109642544000 1157887872000 1183618713600 1224433152000 1315131904000 1331571052800 1420342456320 1469319782400 1479523392000 1543850496000 1578158284800 1664463816000 1704410947584 1775428070400 1836649728000 1852620595200 1972697856000 2130513684480 2219285088000 2315775744000 2367237427200 2448866304000 2630263808000 2663142105600 2840684912640 2959046784000 3087700992000 3328927632000 3550856140800 3673299456000 3945395712000 4261027368960 4438570176000 4631551488000 4734474854400 5326284211200 5918093568000 6657855264000 7101712281600 7346598912000 7890791424000 8522054737920 8877140352000 9263102976000 10652568422400 11836187136000 13315710528000 14203424563200 17754280704000 21305136844800 23672374272000 26631421056000 35508561408000 42610273689600 53262842112000 71017122816000 106525684224000 213051368448000
- Sum of all divisors σ(n): 857673861707520
- Sum of proper divisors (its aliquot sum) s(n): 644622493259520
- 213051368448000 is an abundant number, because the sum of its proper divisors (644622493259520) is greater than itself. Its abundance is 431571124811520
Bases of 213051368448000
- Binary: 1100000111000100111000110010001010100000000000002
- Hexadecimal: 0xC1C4E322A000
- Base-36: 23IQG3Y800
Squares and roots of 213051368448000
- 213051368448000 squared (2130513684480002) is 45390885597565449928704000000
- 213051368448000 cubed (2130513684480003) is 9670590291627933324555211235131392000000000
-
The
square root of 213051368448000 is 14596279.2672653397 -
The
cube root of 213051368448000 is 59725.7267064181
Scales and comparisons
How big is 213051368448000?- 213,051,368,448,000 seconds is equal to 6,774,374 years, 26 weeks, 2 days.
-
To count from 1 to 213,051,368,448,000 would take you about sixteen million, nine hundred thirty-five thousand, nine hundred thirty-six 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 213051368448000 cubic inches would be around 4977.1 feet tall.
Recreational maths with 213051368448000
- 213051368448000 backwards is 000844863150312
- 213051368448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213051368448000's digits is 45
- More coming soon!
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The information we have on file for 213051368448000 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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