132806720446400
132,806,720,446,400 is an even composite number composed of seven prime numbers multiplied together.
132806720446400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 132806720446400:
26 × 52 × 74 × 11 × 13 × 232 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 13 × 23 × 23 × 457)See below for interesting mathematical facts about the number 132806720446400 from the Numbermatics database.
Names of 132806720446400
- Cardinal: 132806720446400 can be written as One hundred thirty-two trillion, eight hundred six billion, seven hundred twenty million, four hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.328067204464 × 1014
Factors of 132806720446400
Divisors of 132806720446400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 23 25 26 28 32 35 40 44 46 49 50 52 55 56 64 65 70 77 80 88 91 92 98 100 104 110 112 115 130 140 143 154 160 161 175 176 182 184 196 200 208 220 224 230 245 253 260 275 280 286 299 308 320 322 325 343 350 352 364 368 385 392 400 416 440 448 455 457 460 490 506 520 529 539 550 560 572 575 598 616 637 644 650 686 700 704 715 728 736 770 784 800 805 832 880 910 914 920 980 1001 1012 1040 1058 1078 1100 1120 1127 1144 1150 1196 1225 1232 1265 1274 1288 1300 1372 1400 1430 1456 1472 1495 1540 1568 1600 1610 1715 1760 1771 1820 1828 1840 1925 1960 2002 2024 2080 2093 2116 2156 2200 2240 2254 2275 2285 2288 2300 2392 2401 2450 2464 2530 2548 2576 2600 2645 2695 2744 2800 2860 2912 2990 3080 3136 3185 3199 3220 3289 3430 3520 3542 3575 3640 3656 3680 3703 3773 3850 3920 4004 4025 4048 4160 4186 4232 4312 4400 4459 4508 4550 4570 4576 4600 4784 4802 4900 4928 5005 5027 5060 5096 5152 5200 5290 5390 5488 5600 5635 5720 5819 5824 5941 5980 6160 6325 6370 6398 6440 6578 6860 6877 7007 7084 7150 7280 7312 7360 7406 7475 7546 7700 7840 7889 8008 8050 8096 8372 8464 8575 8624 8800 8855 8918 9016 9100 9140 9152 9200 9568 9604 9800 10010 10054 10120 10192 10304 10400 10465 10511 10580 10780 10976 11200 11270 11425 11440 11638 11882 11960 12005 12320 12397 12650 12740 12796 12880 13156 13225 13475 13720 13754 14014 14168 14300 14560 14624 14651 14812 14950 15092 15400 15680 15778 15925 15995 16016 16100 16192 16445 16744 16928 17150 17248 17600 17710 17836 18032 18200 18280 18400 18515 18865 19136 19208 19600 20020 20108 20240 20384 20800 20930 21022 21160 21560 21952 22295 22393 22540 22850 22880 23023 23276 23764 23920 24010 24640 24794 25025 25135 25300 25480 25592 25760 25921 26312 26411 26450 26950 27440 27508 28028 28175 28336 28600 29095 29120 29248 29302 29624 29705 29900 30184 30800 31213 31556 31850 31990 32032 32200 32890 33488 33856 34300 34385 34496 35035 35189 35420 35672 36064 36400 36560 36800 37030 37730 38416 39200 39445 40040 40216 40480 40733 40768 41587 41860 42044 42320 43120 44275 44590 44786 45080 45700 45760 46046 46552 47528 47840 48020 48139 49049 49588 50050 50270 50600 50960 51184 51520 51842 52325 52555 52624 52822 52900 53900 54880 55016 55223 56056 56350 56672 57200 58190 58604 59248 59410 59800 60025 60368 61600 61985 62426 63112 63700 63980 64064 64400 65351 65780 66976 68600 68770 70070 70378 70840 71344 72128 72800 73120 73255 73577 74060 75460 75647 76832 78400 78890 79975 80080 80432 80960 81466 82225 83174 83720 84088 84640 86240 86779 88550 89180 89572 90160 91400 92092 92575 93104 94325 95056 95680 96040 96278 98098 99176 100100 100540 101200 101920 102368 102557 103684 104650 105110 105248 105644 105800 107800 109760 110032 110446 111475 111965 112112 112700 113344 114400 115115 115621 116380 117208 118496 118820 119600 120050 120736 123200 123970 124852 125675 126224 127400 127960 128800 129605 130702 131560 132055 133952 136643 137200 137540 140140 140756 141680 142688 145475 145600 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29060551520 29188290208 29460230800 29783969600 30183345556 30799332200 31381550200 31726402400 31924692415 32807984300 32995458496 33168511600 33879265420 34495252064 35199236800 35864628800 36088782730 36325689400 36485362760 37148732992 37494839200 37729181945 38719160480 40379057600 41244323120 41515073600 41697557440 42349081775 43119065080 44416963360 45606703450 46435916240 47430971588 48398950600 49278931520 50210480320 51079507864 51555403900 52121946800 52492774880 53898831350 54206824672 55313086400 55521204200 57742052368 58044895300 58121103040 58376580416 58920461600 59288714485 60366691112 61598664400 62763100400 63452804800 63849384830 65615968600 66337023200 67758530840 68990504128 72177565460 72651378800 72970725520 74989678400 75458363890 77438320960 82488646240 83004200279 84698163550 86238130160 88833926720 90221956825 91213406900 92871832480 94861943176 96797901200 102159015728 103110807800 104243893600 104985549760 107797662700 108413649344 111042408400 115484104736 116089790600 117840923200 118577428970 120733382224 123197328800 125526200800 127698769660 131231937200 132674046400 135517061680 144355130920 145302757600 145941451040 150916727780 159623462075 164977292480 166008400558 169396327100 172476260320 180443913650 182426813800 185743664960 188645909725 189723886352 193595802400 204318031456 206221615600 208487787200 215595325400 222084816800 230968209472 232179581200 237154857940 241466764448 246394657600 251052401600 255397539320 262463874400 271034123360 288710261840 290605515200 291882902080 296443572425 301833455560 319246924150 332016801116 338792654200 344952520640 360887827300 364853627600 377291819450 379447772704 387191604800 408636062912 412443231200 415021001395 431190650800 444169633600 464359162400 474309715880 482933528896 510795078640 524927748800 542068246720 577420523680 592887144850 603666911120 638493848300 664033602232 677585308400 721775654600 729707255200 754583638900 758895545408 824886462400 830042002790 862381301600 928718324800 948619431760 1021590157280 1154841047360 1185774289700 1207333822240 1276987696600 1328067204464 1355170616800 1443551309200 1459414510400 1509167277800 1660084005580 1724762603200 1897238863520 2043180314560 2075105006975 2371548579400 2414667644480 2553975393200 2656134408928 2710341233600 2887102618400 3018334555600 3320168011160 3794477727040 4150210013950 4743097158800 5107950786400 5312268817856 5774205236800 6036669111200 6640336022320 8300420027900 9486194317600 10215901572800 12073338222400 13280672044640 16600840055800 18972388635200 26561344089280 33201680111600 66403360223200 132806720446400
- Sum of all divisors σ(n): 469222052231184
- Sum of proper divisors (its aliquot sum) s(n): 336415331784784
- 132806720446400 is an abundant number, because the sum of its proper divisors (336415331784784) is greater than itself. Its abundance is 203608611338384
Bases of 132806720446400
- Binary: 111100011001001011110010110010101011111110000002
- Hexadecimal: 0x78C979655FC0
- Base-36: 1B2QKCDW3K
Squares and roots of 132806720446400
- 132806720446400 squared (1328067204464002) is 17637624995728239815272960000
- 132806720446400 cubed (1328067204464003) is 2342395132146117339332893975829049344000000
-
The
square root of 132806720446400 is 11524179.8166463889 -
The
cube root of 132806720446400 is 51019.9486802687
Scales and comparisons
How big is 132806720446400?- 132,806,720,446,400 seconds is equal to 4,222,842 years, 47 weeks, 2 days, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 132,806,720,446,400 would take you about ten million, five hundred fifty-seven thousand, one hundred 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 132806720446400 cubic inches would be around 4251.7 feet tall.
Recreational maths with 132806720446400
- 132806720446400 backwards is 004644027608231
- The number of decimal digits it has is: 15
- The sum of 132806720446400's digits is 47
- More coming soon!
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"Number 132806720446400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 132806720446400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/132806720446400/
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The information we have on file for 132806720446400 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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