213328138598400
213,328,138,598,400 is an even composite number composed of eight prime numbers multiplied together.
213328138598400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 213328138598400:
211 × 3 × 52 × 72 × 17 × 23 × 71 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 23 × 71 × 1021)See below for interesting mathematical facts about the number 213328138598400 from the Numbermatics database.
Names of 213328138598400
- Cardinal: 213328138598400 can be written as Two hundred thirteen trillion, three hundred twenty-eight billion, one hundred thirty-eight million, five hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.133281385984 × 1014
Factors of 213328138598400
Divisors of 213328138598400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 23 24 25 28 30 32 34 35 40 42 46 48 49 50 51 56 60 64 68 69 70 71 75 80 84 85 92 96 98 100 102 105 112 115 119 120 128 136 138 140 142 147 150 160 161 168 170 175 184 192 196 200 204 210 213 224 230 238 240 245 255 256 272 276 280 284 294 300 320 322 336 340 345 350 355 357 368 384 391 392 400 408 420 425 426 448 460 476 480 483 490 497 510 512 525 544 552 560 568 575 588 595 600 640 644 672 680 690 700 710 714 735 736 768 782 784 800 805 816 833 840 850 852 896 920 952 960 966 980 994 1020 1021 1024 1050 1065 1088 1104 1120 1127 1136 1150 1173 1176 1190 1200 1207 1225 1275 1280 1288 1344 1360 1380 1400 1420 1428 1470 1472 1491 1536 1564 1568 1600 1610 1632 1633 1666 1680 1700 1704 1725 1775 1785 1792 1840 1904 1920 1932 1955 1960 1988 2040 2042 2048 2100 2130 2176 2208 2240 2254 2272 2300 2346 2352 2380 2400 2414 2415 2450 2485 2499 2550 2560 2576 2688 2720 2737 2760 2800 2840 2856 2940 2944 2975 2982 3063 3072 3128 3136 3200 3220 3264 3266 3332 3360 3381 3400 3408 3450 3479 3550 3570 3584 3621 3675 3680 3808 3840 3864 3910 3920 3976 4025 4080 4084 4165 4200 4260 4352 4416 4480 4508 4544 4600 4692 4704 4760 4800 4828 4830 4899 4900 4970 4998 5100 5105 5120 5152 5325 5376 5440 5474 5520 5600 5635 5680 5712 5865 5880 5888 5950 5964 6035 6126 6144 6256 6272 6400 6440 6528 6532 6664 6720 6762 6800 6816 6900 6958 7100 7140 7147 7168 7242 7350 7360 7455 7616 7680 7728 7820 7840 7952 8050 8160 8165 8168 8211 8330 8400 8449 8520 8704 8832 8925 8960 9016 9088 9200 9384 9408 9520 9600 9656 9660 9775 9798 9800 9940 9996 10200 10210 10240 10304 10437 10650 10752 10880 10948 11040 11200 11270 11360 11424 11431 11730 11760 11776 11900 11928 12070 12075 12252 12425 12495 12512 12544 12800 12880 13056 13064 13328 13440 13524 13600 13632 13685 13800 13916 14200 14280 14294 14336 14484 14700 14720 14910 15232 15315 15360 15456 15640 15680 15904 16100 16320 16330 16336 16422 16660 16800 16898 16905 17040 17357 17395 17408 17664 17850 17920 18032 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1015848279040 1045726169600 1066640692992 1088408870400 1111084055200 1159392057600 1219017934848 1254871403520 1269810348800 1325019494400 1333300866240 1422187590656 1451211827200 1502310835200 1523772418560 1545856076800 1568589254400 1666626082800 1777734488320 1792673433600 1855027292160 1904715523200 2031696558080 2091452339200 2133281385984 2176817740800 2222168110400 2318784115200 2509742807040 2539620697600 2666601732480 2844375181312 3004621670400 3047544837120 3091712153600 3137178508800 3333252165600 3555468976640 3809431046400 4182904678400 4266562771968 4353635481600 4444336220800 4637568230400 5079241395200 5333203464960 6095089674240 6274357017600 6666504331200 7110937953280 7618862092800 8533125543936 8888672441600 9275136460800 10158482790400 10666406929920 12548714035200 13333008662400 14221875906560 15237724185600 17777344883200 21332813859840 26666017324800 30475448371200 35554689766400 42665627719680 53332034649600 71109379532800 106664069299200 213328138598400
- Sum of all divisors σ(n): 920063042196480
- Sum of proper divisors (its aliquot sum) s(n): 706734903598080
- 213328138598400 is an abundant number, because the sum of its proper divisors (706734903598080) is greater than itself. Its abundance is 493406764999680
Bases of 213328138598400
- Binary: 1100001000000101010100111110101111111000000000002
- Hexadecimal: 0xC20553EBF800
- Base-36: 23M9LDR2TC
Squares and roots of 213328138598400
- 213328138598400 squared (2133281385984002) is 45508894717858159916482560000
- 213328138598400 cubed (2133281385984003) is 9708327799831239202255782928296443904000000
-
The
square root of 213328138598400 is 14605757.0361279117 -
The
cube root of 213328138598400 is 59751.5782895383
Scales and comparisons
How big is 213328138598400?- 213,328,138,598,400 seconds is equal to 6,783,174 years, 48 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 213,328,138,598,400 would take you about sixteen million, nine hundred fifty-seven thousand, nine hundred thirty-seven 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 213328138598400 cubic inches would be around 4979.3 feet tall.
Recreational maths with 213328138598400
- 213328138598400 backwards is 004895831823312
- The number of decimal digits it has is: 15
- The sum of 213328138598400's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 213328138598400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 213328138598400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/213328138598400/
Chicago style:
Numbermatics. 2024. "Number 213328138598400 - Facts about the integer". https://numbermatics.com/n/213328138598400/
The information we have on file for 213328138598400 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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