213120404073216000
213,120,404,073,216,000 is an even composite number composed of six prime numbers multiplied together.
213120404073216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 213120404073216000:
211 × 33 × 53 × 172 × 1312 × 6217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 131 × 131 × 6217)See below for interesting mathematical facts about the number 213120404073216000 from the Numbermatics database.
Names of 213120404073216000
- Cardinal: 213120404073216000 can be written as Two hundred thirteen quadrillion, one hundred twenty trillion, four hundred four billion, seventy-three million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 2.13120404073216 × 1017
Factors of 213120404073216000
Divisors of 213120404073216000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 131 135 136 144 150 153 160 170 180 192 200 204 216 225 240 250 255 256 262 270 272 288 289 300 306 320 340 360 375 384 393 400 408 425 432 450 459 480 500 510 512 524 540 544 576 578 600 612 640 655 675 680 720 750 765 768 786 800 816 850 864 867 900 918 960 1000 1020 1024 1048 1080 1088 1125 1152 1156 1179 1200 1224 1275 1280 1310 1350 1360 1440 1445 1500 1530 1536 1572 1600 1632 1700 1728 1734 1800 1836 1920 1965 2000 2040 2048 2096 2125 2160 2176 2227 2250 2295 2304 2312 2358 2400 2448 2550 2560 2601 2620 2700 2720 2880 2890 3000 3060 3072 3144 3200 3264 3275 3375 3400 3456 3468 3537 3600 3672 3825 3840 3930 4000 4080 4192 4250 4320 4335 4352 4454 4500 4590 4608 4624 4716 4800 4896 5100 5120 5202 5240 5400 5440 5760 5780 5895 6000 6120 6144 6217 6288 6375 6400 6528 6550 6681 6750 6800 6912 6936 7074 7200 7225 7344 7650 7680 7803 7860 8000 8160 8384 8500 8640 8670 8704 8908 9000 9180 9216 9248 9432 9600 9792 9825 10200 10240 10404 10480 10800 10880 11135 11475 11520 11560 11790 12000 12240 12434 12576 12750 12800 13005 13056 13100 13362 13500 13600 13824 13872 14148 14400 14450 14688 15300 15360 15606 15720 16000 16320 16375 16768 17000 17161 17280 17340 17408 17685 17816 18000 18360 18432 18496 18651 18864 19125 19200 19584 19650 20043 20400 20808 20960 21600 21675 21760 22270 22950 23040 23120 23580 24000 24480 24868 25152 25500 25600 26010 26112 26200 26724 27000 27200 27648 27744 28296 28800 28900 29376 29475 30600 30720 31085 31212 31440 32000 32640 32750 33405 33536 34000 34322 34560 34680 34816 35370 35632 36000 36125 36720 36992 37302 37728 37859 38250 38400 39015 39168 39300 40086 40800 41616 41920 43200 43350 43520 44540 45900 46080 46240 47160 48000 48960 49125 49736 50304 51000 51200 51483 52020 52224 52400 53448 54000 54400 55296 55488 55675 55953 56592 57375 57600 57800 58752 58950 60129 61200 62170 62424 62880 64000 65025 65280 65500 66810 67072 68000 68644 69120 69360 70740 71264 72000 72250 73440 73984 74604 75456 75718 76500 76800 78030 78336 78600 80172 81600 83232 83840 85805 86400 86700 87040 88425 89080 91800 92160 92480 93255 94320 96000 97920 98250 99472 100215 100608 102000 102966 104040 104448 104800 105689 106896 108000 108375 108800 110976 111350 111906 113184 113577 114750 115200 115600 117504 117900 120258 122400 124340 124848 125760 128000 130050 130560 131000 133620 134144 136000 137288 138240 138720 141480 142528 144000 144500 146880 147375 147968 149208 150912 151436 153000 153600 154449 155425 156060 156672 157200 160344 163200 166464 167025 167680 167859 171610 172800 173400 174080 176850 178160 183600 184960 186510 188640 189295 192000 195075 195840 196500 198944 200430 201216 204000 205932 208080 209600 211378 213792 216000 216750 217600 221952 222700 223812 226368 227154 229500 230400 231200 235008 235800 240516 244800 248680 249696 251520 256000 257415 260100 261120 262000 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592001122425600 626824717862400 666001262728800 696471908736000 710401346910720 737440844544000 740001403032000 783530897328000 789334829900800 813436656768000 832501578411000 835766290483200 852481616292864 888001683638400 947201795880960 986668537376000 1044707863104000 1065602020366080 1110002104548000 1184002244851200 1253649435724800 1332002525457600 1392943817472000 1420802693821440 1480002806064000 1567061794656000 1578669659801600 1626873313536000 1665003156822000 1704963232585728 1776003367276800 1973337074752000 2089415726208000 2131204040732160 2220004209096000 2368004489702400 2507298871449600 2664005050915200 2841605387642880 2960005612128000 3134123589312000 3330006313644000 3552006734553600 3946674149504000 4178831452416000 4262408081464320 4440008418192000 4736008979404800 5328010101830400 5920011224256000 6268247178624000 6660012627288000 7104013469107200 7893348299008000 8524816162928640 8880016836384000 10656020203660800 11840022448512000 12536494357248000 13320025254576000 14208026938214400 17760033672768000 21312040407321600 23680044897024000 26640050509152000 35520067345536000 42624080814643200 53280101018304000 71040134691072000 106560202036608000 213120404073216000
- Sum of all divisors σ(n): 843524945435390400
- Sum of proper divisors (its aliquot sum) s(n): 630404541362174400
- 213120404073216000 is an abundant number, because the sum of its proper divisors (630404541362174400) is greater than itself. Its abundance is 417284137288958400
Bases of 213120404073216000
- Binary: 10111101010010011111100000110110110010101111111000000000002
- Hexadecimal: 0x2F527E0DB2BF800
- Base-36: 1MAGVM0RF9C0
Squares and roots of 213120404073216000
- 213120404073216000 squared (2131204040732160002) is 45420306632330863003888582656000000
- 213120404073216000 cubed (2131204040732160003) is 9679994102611726155450124772326819491741696000000000
-
The
square root of 213120404073216000 is 461649655.1208676035 -
The
cube root of 213120404073216000 is 597321.7704066363
Scales and comparisons
How big is 213120404073216000?- 213,120,404,073,216,000 seconds is equal to 6,776,569,624 years, 43 weeks, 3 days.
-
To count from 1 to 213,120,404,073,216,000 would take you about twenty billion, three hundred twenty-nine million, seven hundred eight thousand, eight hundred seventy-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 213120404073216000 cubic inches would be around 49776.8 feet tall.
Recreational maths with 213120404073216000
- 213120404073216000 backwards is 000612370404021312
- 213120404073216000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 213120404073216000's digits is 36
- More coming soon!
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"Number 213120404073216000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 213120404073216000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/213120404073216000/
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Numbermatics. 2024. "Number 213120404073216000 - Facts about the integer". https://numbermatics.com/n/213120404073216000/
The information we have on file for 213120404073216000 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!
Keywords: Divisors of 213120404073216000, math, Factors of 213120404073216000, curriculum, school, college, exams, university, Prime factorization of 213120404073216000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen quadrillion, one hundred twenty trillion, four hundred four billion, seventy-three million, two hundred sixteen thousand.