68133436800
68,133,436,800 is an even composite number composed of seven prime numbers multiplied together.
68133436800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 68133436800:
27 × 3 × 52 × 11 × 13 × 31 × 1601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 31 × 1601)See below for interesting mathematical facts about the number 68133436800 from the Numbermatics database.
Names of 68133436800
- Cardinal: 68133436800 can be written as Sixty-eight billion, one hundred thirty-three million, four hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 6.81334368 × 1010
Factors of 68133436800
Divisors of 68133436800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 44 48 50 52 55 60 62 64 65 66 75 78 80 88 93 96 100 104 110 120 124 128 130 132 143 150 155 156 160 165 176 186 192 195 200 208 220 240 248 260 264 275 286 300 310 312 320 325 330 341 352 372 384 390 400 403 416 429 440 465 480 496 520 528 550 572 600 620 624 640 650 660 682 704 715 744 775 780 800 806 825 832 858 880 930 960 975 992 1023 1040 1056 1100 1144 1200 1209 1240 1248 1300 1320 1364 1408 1430 1488 1550 1560 1600 1601 1612 1650 1664 1705 1716 1760 1860 1920 1950 1984 2015 2046 2080 2112 2145 2200 2288 2325 2400 2418 2480 2496 2600 2640 2728 2860 2976 3100 3120 3200 3202 3224 3300 3410 3432 3520 3575 3720 3900 3968 4030 4092 4160 4224 4290 4400 4433 4576 4650 4800 4803 4836 4960 4992 5115 5200 5280 5456 5720 5952 6045 6200 6240 6404 6448 6600 6820 6864 7040 7150 7440 7800 8005 8060 8184 8320 8525 8580 8800 8866 9152 9300 9600 9606 9672 9920 10075 10230 10400 10560 10725 10912 11440 11904 12090 12400 12480 12808 12896 13200 13299 13640 13728 14300 14880 15600 16010 16120 16368 17050 17160 17600 17611 17732 18304 18600 19212 19344 19840 20150 20460 20800 20813 21120 21450 21824 22165 22880 24015 24180 24800 24960 25575 25616 25792 26400 26598 27280 27456 28600 29760 30225 31200 32020 32240 32736 34100 34320 35200 35222 35464 37200 38424 38688 40025 40300 40920 41600 41626 42900 43648 44330 45760 48030 48360 49600 49631 51150 51232 51584 52800 52833 53196 54560 54912 57200 59520 60450 62400 62439 64040 64480 65472 66495 68200 68640 70444 70928 74400 76848 77376 80050 80600 81840 83252 85800 88055 88660 91520 96060 96720 99200 99262 102300 102464 104065 105600 105666 106392 109120 110825 114400 120075 120900 124800 124878 128080 128960 130944 132990 136400 137280 140888 141856 148800 148893 153696 154752 160100 161200 163680 166504 171600 176110 177320 192120 193440 198524 204600 204928 208130 211332 212784 218240 221650 228800 228943 240150 241800 248155 249756 256160 257920 264165 265980 272800 274560 281776 283712 297600 297786 307392 312195 320200 322400 327360 332475 333008 343200 352220 354640 384240 386880 397048 409200 416260 422664 425568 440275 443300 457600 457886 480300 483600 496310 499512 512320 520325 528330 531960 545600 545941 563552 567424 595572 614784 624390 640400 644800 645203 654720 664950 666016 686400 686829 704440 709280 744465 768480 773760 794096 818400 832520 845328 851136 880550 886600 915772 960600 967200 992620 999024 1024640 1040650 1056660 1063920 1091200 1091882 1127104 1144715 1191144 1240775 1248780 1280800 1289600 1290406 1320825 1329900 1332032 1372800 1373658 1408880 1418560 1488930 1536960 1560975 1588192 1636800 1637823 1665040 1690656 1702272 1761100 1773200 1831544 1921200 1934400 1935609 1985240 1998048 2081300 2113320 2127840 2183764 2254208 2289430 2382288 2481550 2497560 2561600 2580812 2641650 2659800 2664064 2729705 2747316 2817760 2837120 2977860 3073920 3121950 3176384 3226015 3273600 3275646 3330080 3381312 3434145 3522200 3546400 3663088 3722325 3842400 3868800 3871218 3970480 3996096 4162600 4226640 4255680 4367528 4578860 4764576 4963100 4995120 5123200 5161624 5283300 5319600 5459410 5494632 5635520 5723575 5955720 6243900 6352768 6452030 6551292 6660160 6762624 6868290 7044400 7092800 7097233 7326176 7444650 7684800 7742436 7940960 7992192 8189115 8325200 8453280 8511360 8735056 9157720 9529152 9678045 9926200 9990240 10323248 10566600 10639200 10918820 10989264 11271040 11447150 11911440 12487800 12904060 13102584 13320320 13648525 13736580 14088800 14185600 14194466 14652352 14889300 15369600 15484872 15881920 16130075 16378230 16650400 16906560 17170725 17470112 18315440 19058304 19356090 19852400 19980480 20646496 21133200 21278400 21291699 21837640 21978528 22894300 23822880 24975600 25808120 26205168 27297050 27473160 28177600 28388932 29304704 29778600 30969744 31763840 32260150 32756460 33300800 33813120 34341450 34940224 35486165 36630880 38712180 39704800 39960960 40945575 41292992 42266400 42556800 42583398 43675280 43957056 45788600 47645760 48390225 49951200 51616240 52410336 54594100 54946320 56355200 56777864 59557200 61939488 64520300 65512920 66601600 68682900 69880448 70972330 73261760 77424360 79409600 81891150 82585984 84532800 85166796 87350560 87914112 91577200 95291520 96780450 99902400 103232480 104820672 106458495 109188200 109892640 113555728 119114400 123878976 129040600 131025840 137365800 141944660 146523520 154848720 158819200 163782300 169065600 170333592 174701120 177430825 183154400 193560900 199804800 206464960 209641344 212916990 218376400 219785280 227111456 238228800 247757952 258081200 262051680 274731600 283889320 309697440 327564600 340667184 349402240 354861650 366308800 387121800 412929920 425833980 436752800 439570560 454222912 476457600 516162400 524103360 532292475 549463200 567778640 619394880 655129200 681334368 709723300 732617600 774243600 851667960 873505600 908445824 1032324800 1048206720 1064584950 1098926400 1135557280 1238789760 1310258400 1362668736 1419446600 1548487200 1703335920 1747011200 2064649600 2129169900 2197852800 2271114560 2620516800 2725337472 2838893200 3096974400 3406671840 4258339800 4542229120 5241033600 5677786400 6193948800 6813343680 8516679600 11355572800 13626687360 17033359200 22711145600 34066718400 68133436800
- Sum of all divisors σ(n): 272322570240
- Sum of proper divisors (its aliquot sum) s(n): 204189133440
- 68133436800 is an abundant number, because the sum of its proper divisors (204189133440) is greater than itself. Its abundance is 136055696640
Bases of 68133436800
- Binary: 1111110111010001000110111101100000002
- Hexadecimal: 0xFDD11BD80
- Base-36: VASW0AO
Squares and roots of 68133436800
- 68133436800 squared (681334368002) is 4642165210179594240000
- 68133436800 cubed (681334368003) is 316286669962930100800684032000000
-
The
square root of 68133436800 is 261023.8242000143 -
The
cube root of 68133436800 is 4084.3231760905
Scales and comparisons
How big is 68133436800?- 68,133,436,800 seconds is equal to 2,166 years, 22 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 68,133,436,800 would take you about four thousand, three hundred thirty-two 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 68133436800 cubic inches would be around 340.4 feet tall.
Recreational maths with 68133436800
- 68133436800 backwards is 00863433186
- The number of decimal digits it has is: 11
- The sum of 68133436800's digits is 42
- More coming soon!
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The information we have on file for 68133436800 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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