134083074470400
134,083,074,470,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 134083074470400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2100 divisors.
134083074470400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 134083074470400:
29 × 34 × 52 × 116 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 73)See below for interesting mathematical facts about the number 134083074470400 from the Numbermatics database.
Names of 134083074470400
- Cardinal: 134083074470400 can be written as One hundred thirty-four trillion, eighty-three billion, seventy-four million, four hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.340830744704 × 1014
Factors of 134083074470400
Divisors of 134083074470400
- Number of divisors d(n): 2100
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 73 75 80 81 88 90 96 99 100 108 110 120 121 128 132 135 144 146 150 160 162 165 176 180 192 198 200 216 219 220 225 240 242 256 264 270 275 288 292 297 300 320 324 330 352 360 363 365 384 396 400 405 432 438 440 450 480 484 495 512 528 540 550 576 584 594 600 605 640 648 657 660 675 704 720 726 730 768 792 800 803 810 825 864 876 880 891 900 960 968 990 1056 1080 1089 1095 1100 1152 1168 1188 1200 1210 1280 1296 1314 1320 1331 1350 1408 1440 1452 1460 1485 1536 1584 1600 1606 1620 1650 1728 1752 1760 1782 1800 1815 1825 1920 1936 1971 1980 2025 2112 2160 2178 2190 2200 2304 2336 2376 2400 2409 2420 2475 2560 2592 2628 2640 2662 2700 2816 2880 2904 2920 2970 3025 3168 3200 3212 3240 3267 3285 3300 3456 3504 3520 3564 3600 3630 3650 3840 3872 3942 3960 3993 4015 4050 4224 4320 4356 4380 4400 4455 4608 4672 4752 4800 4818 4840 4950 5184 5256 5280 5324 5400 5445 5475 5632 5760 5808 5840 5913 5940 6050 6336 6400 6424 6480 6534 6570 6600 6655 6912 7008 7040 7128 7200 7227 7260 7300 7425 7680 7744 7884 7920 7986 8030 8100 8448 8640 8712 8760 8800 8833 8910 9075 9344 9504 9600 9636 9680 9801 9855 9900 10368 10512 10560 10648 10800 10890 10950 11520 11616 11680 11826 11880 11979 12045 12100 12672 12800 12848 12960 13068 13140 13200 13310 13824 14016 14080 14256 14400 14454 14520 14600 14641 14850 15488 15768 15840 15972 16060 16200 16335 16425 16896 17280 17424 17520 17600 17666 17820 18150 18688 19008 19200 19272 19360 19602 19710 19800 19965 20075 20736 21024 21120 21296 21600 21681 21780 21900 22275 23040 23232 23360 23652 23760 23958 24090 24200 25344 25696 25920 26136 26280 26400 26499 26620 27225 28032 28160 28512 28800 28908 29040 29200 29282 29565 29700 30976 31536 31680 31944 32120 32400 32670 32850 33275 34560 34848 35040 35200 35332 35640 35937 36135 36300 37376 38016 38400 38544 38720 39204 39420 39600 39930 40150 41472 42048 42240 42592 43200 43362 43560 43800 43923 44165 44550 46464 46720 47304 47520 47916 48180 48400 49005 49275 50688 51392 51840 52272 52560 52800 52998 53240 54450 56064 57024 57600 57816 58080 58400 58564 59130 59400 59895 60225 61952 63072 63360 63888 64240 64800 65043 65340 65700 66550 69120 69696 70080 70400 70664 71280 71874 72270 72600 73205 76032 77088 77440 78408 78840 79200 79497 79860 80300 81675 84096 84480 85184 86400 86724 87120 87600 87846 88330 89100 92928 93440 94608 95040 95832 96360 96800 97163 98010 98550 99825 102784 103680 104544 105120 105600 105996 106480 107811 108405 108900 112128 114048 115200 115632 116160 116800 117128 118260 118800 119790 120450 126144 126720 127776 128480 129600 130086 130680 131400 131769 132495 133100 139392 140160 140800 141328 142560 143748 144540 145200 146410 147825 152064 154176 154880 156816 157680 158400 158994 159720 160600 161051 163350 168192 170368 172800 173448 174240 175200 175692 176660 178200 179685 180675 185856 186880 189216 190080 191664 192720 193600 194326 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3009721088 3035957760 3052684800 3061257408 3078123840 3092179200 3103774872 3148081200 3174315210 3188809800 3233098825 3339553536 3357953280 3385936224 3401397120 3420137600 3462889320 3478701600 3491746731 3527016900 3587411025 3693748608 3710615040 3731059200 3762151360 3794947200 3809178252 3826571760 3847654800 3879718590 4029543936 4081676544 4104165120 4138366496 4174441920 4197441600 4232420280 4251746400 4328611650 4514581632 4535196160 4579027200 4591886112 4617185760 4638268800 4655662308 4702689200 4761472815 4783214700 4924998144 5036929920 5059929600 5078904336 5102095680 5130206400 5172958120 5218052400 5290525350 5540622912 5565922560 5596588800 5643227040 5668995200 5739857640 5771482200 5819577885 6019442176 6122514816 6156247680 6184358400 6207549744 6296162400 6348630420 6377619600 6466197650 6679107072 6715906560 6771872448 6802794240 6840275200 6925778640 6957403200 6983493462 7054033800 7174822050 7387497216 7524302720 7589894400 7618356504 7653143520 7695309600 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82767329920 83488838400 83801921544 84648405600 87293668275 90291632640 91837722240 92343715200 93113246160 95229456300 99320795904 100738598400 101578086720 102041913600 103459162400 104752401930 110812458240 111735895392 112864540800 114797152800 116391557700 121893704064 122450296320 123124953600 124150994880 126972608400 135437448960 138515572800 139669869240 148981193856 150486054400 152367130080 153062870400 155188743600 162524938752 165534659840 166977676800 167603843088 169296811200 174587336550 183675444480 184687430400 186226492320 190458912600 198641591808 203156173440 204083827200 206918324800 209504803860 221624916480 223471790784 225729081600 229594305600 232783115400 243787408128 248301989760 253945216800 261881004825 270874897920 277031145600 279339738480 297962387712 304734260160 306125740800 310377487200 331069319680 335207686176 338593622400 349174673100 367350888960 369374860800 372452984640 380917825200 406312346880 413836649600 419009607720 446943581568 451458163200 459188611200 465566230800 487574816256 496603979520 507890433600 523762009650 554062291200 558679476960 595924775424 609468520320 612251481600 620754974400 670415372352 677187244800 698349346200 744905969280 761835650400 812624693760 827673299200 838019215440 893887163136 918377222400 931132461600 993207959040 1015780867200 1047524019300 1108124582400 1117358953920 1218937040640 1241509948800 1340830744704 1354374489600 1396698692400 1489811938560 1523671300800 1655346598400 1676038430880 1787774326272 1836754444800 1862264923200 2031561734400 2095048038600 2234717907840 2437874081280 2483019897600 2681661489408 2793397384800 2979623877120 3047342601600 3352076861760 3724529846400 4063123468800 4190096077200 4469435815680 4966039795200 5363322978816 5586794769600 6094685203200 6704153723520 7449059692800 8380192154400 8938871631360 11173589539200 12189370406400 13408307447040 14898119385600 16760384308800 22347179078400 26816614894080 33520768617600 44694358156800 67041537235200 134083074470400
- Sum of all divisors σ(n): 553354175526834
- Sum of proper divisors (its aliquot sum) s(n): 419271101056434
- 134083074470400 is an abundant number, because the sum of its proper divisors (419271101056434) is greater than itself. Its abundance is 285188026586034
Bases of 134083074470400
- Binary: 111100111110010101001100000011000110010000000002
- Hexadecimal: 0x79F2A6063200
- Base-36: 1BJ0WWM800
Squares and roots of 134083074470400
- 134083074470400 squared (1340830744704002) is 17978270859434832240476160000
- 134083074470400 cubed (1340830744704003) is 2410581830494622821755495842435825664000000
-
The
square root of 134083074470400 is 11579424.6174151505 -
The
cube root of 134083074470400 is 51182.8721892083
Scales and comparisons
How big is 134083074470400?- 134,083,074,470,400 seconds is equal to 4,263,427 years, 1 week, 1 day.
-
To count from 1 to 134,083,074,470,400 would take you about ten million, six hundred fifty-eight thousand, five hundred sixty-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 134083074470400 cubic inches would be around 4265.2 feet tall.
Recreational maths with 134083074470400
- 134083074470400 backwards is 004074470380431
- 134083074470400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134083074470400's digits is 45
- More coming soon!
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"Number 134083074470400 - Facts about the integer". Numbermatics.com. 2024. Web. 10 May 2024.
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Numbermatics. (2024). Number 134083074470400 - Facts about the integer. Retrieved 10 May 2024, from https://numbermatics.com/n/134083074470400/
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The information we have on file for 134083074470400 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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