48193974144000
48,193,974,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48193974144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
48193974144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 48193974144000:
210 × 32 × 53 × 413 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 607)See below for interesting mathematical facts about the number 48193974144000 from the Numbermatics database.
Names of 48193974144000
- Cardinal: 48193974144000 can be written as Forty-eight trillion, one hundred ninety-three billion, nine hundred seventy-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8193974144 × 1013
Factors of 48193974144000
Divisors of 48193974144000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 125 128 144 150 160 164 180 192 200 205 225 240 246 250 256 288 300 320 328 360 369 375 384 400 410 450 480 492 500 512 576 600 607 615 640 656 720 738 750 768 800 820 900 960 984 1000 1024 1025 1125 1152 1200 1214 1230 1280 1312 1440 1476 1500 1536 1600 1640 1681 1800 1821 1845 1920 1968 2000 2050 2250 2304 2400 2428 2460 2560 2624 2880 2952 3000 3035 3072 3075 3200 3280 3362 3600 3642 3690 3840 3936 4000 4100 4500 4608 4800 4856 4920 5043 5120 5125 5248 5463 5760 5904 6000 6070 6150 6400 6560 6724 7200 7284 7380 7680 7872 8000 8200 8405 9000 9105 9216 9225 9600 9712 9840 10086 10250 10496 10926 11520 11808 12000 12140 12300 12800 13120 13448 14400 14568 14760 15129 15175 15360 15375 15744 16000 16400 16810 18000 18210 18450 19200 19424 19680 20172 20500 20992 21852 23040 23616 24000 24280 24600 24887 25215 25600 26240 26896 27315 28800 29136 29520 30258 30350 30750 31488 32000 32800 33620 36000 36420 36900 38400 38848 39360 40344 41000 41984 42025 43704 45525 46080 46125 47232 48000 48560 49200 49774 50430 52480 53792 54630 57600 58272 59040 60516 60700 61500 62976 64000 65600 67240 68921 72000 72840 73800 74661 75645 75875 76800 77696 78720 80688 82000 84050 87408 91050 92250 94464 96000 97120 98400 99548 100860 104960 107584 109260 115200 116544 118080 121032 121400 123000 124435 125952 126075 128000 131200 134480 136575 137842 144000 145680 147600 149322 151290 151750 155392 157440 161376 164000 168100 174816 182100 184500 188928 192000 194240 196800 199096 201720 206763 209920 210125 215168 218520 223983 227625 230400 233088 236160 242064 242800 246000 248870 252150 262400 268960 273150 275684 288000 291360 295200 298644 302580 303500 310784 314880 322752 328000 336200 344605 349632 364200 369000 373305 377856 378225 384000 388480 393600 398192 403440 413526 420250 430336 437040 447966 455250 466176 472320 484128 485600 492000 497740 504300 524800 537920 546300 551368 576000 582720 590400 597288 605160 607000 620289 621568 622175 629760 630375 645504 656000 672400 682875 689210 699264 728400 738000 746610 756450 776960 787200 796384 806880 827052 840500 860672 874080 895932 910500 932352 944640 968256 971200 984000 995480 1008600 1020367 1033815 1049600 1075840 1092600 1102736 1119915 1152000 1165440 1180800 1194576 1210320 1214000 1240578 1244350 1260750 1291008 1312000 1344800 1365750 1378420 1398528 1456800 1476000 1493220 1512900 1553920 1574400 1592768 1613760 1654104 1681000 1721344 1723025 1748160 1791864 1821000 1864704 1866525 1889280 1891125 1936512 1942400 1968000 1990960 2017200 2040734 2067630 2151680 2185200 2205472 2239830 2330880 2361600 2389152 2420640 2428000 2481156 2488700 2521500 2582016 2624000 2689600 2731500 2756840 2797056 2913600 2952000 2986440 3025800 3061101 3101445 3107840 3110875 3148800 3185536 3227520 3308208 3362000 3446050 3496320 3583728 3642000 3733050 3782250 3873024 3884800 3936000 3981920 4034400 4081468 4135260 4303360 4370400 4410944 4479660 4661760 4723200 4778304 4841280 4856000 4962312 4977400 5043000 5101835 5164032 5169075 5248000 5379200 5463000 5513680 5594112 5599575 5827200 5904000 5972880 6051600 6122202 6202890 6221750 6371072 6455040 6616416 6724000 6892100 6992640 7167456 7284000 7466100 7564500 7746048 7769600 7872000 7963840 8068800 8162936 8270520 8606720 8615125 8740800 8821888 8959320 9183303 9323520 9332625 9446400 9556608 9682560 9712000 9924624 9954800 10086000 10203670 10338150 10758400 10926000 11027360 11199150 11654400 11808000 11945760 12103200 12244404 12405780 12443500 12742144 12910080 13232832 13448000 13784200 13985280 14334912 14568000 14932200 15129000 15305505 15492096 15507225 15539200 15744000 15927680 16137600 16325872 16541040 17230250 17481600 17643776 17918640 18366606 18665250 19113216 19365120 19424000 19849248 19909600 20172000 20407340 20676300 21516800 21852000 22054720 22398300 23308800 23616000 23891520 24206400 24488808 24811560 24887000 25484288 25509175 25820160 25845375 26465664 26896000 27568400 27970560 27997875 28669824 29136000 29864400 30258000 30611010 31014450 31855360 32275200 32651744 33082080 34460500 34963200 35287552 35837280 36733212 37330500 38226432 38730240 38848000 39698496 39819200 40344000 40814680 41352600 41835047 43033600 43704000 44109440 44796600 45916515 46617600 47232000 47783040 48412800 48977616 49623120 49774000 51018350 51690750 52931328 53792000 55136800 55995750 57339648 58272000 59728800 60516000 61222020 62028900 63710720 64550400 65303488 66164160 68921000 69926400 70575104 71674560 73466424 74661000 76452864 76527525 77460480 77536125 77696000 79396992 79638400 80688000 81629360 82705200 83670094 87408000 88218880 89593200 91833030 95566080 96825600 97955232 99246240 99548000 102036700 103381500 105862656 107584000 110273600 111991500 114679296 116544000 119457600 121032000 122444040 124057800 125505141 127421440 127545875 129100800 130606976 132328320 137842000 139852800 143349120 146932848 149322000 153055050 155072250 158793984 159276800 161376000 163258720 165410400 167340188 174816000 176437760 179186400 183666060 191132160 193651200 195910464 198492480 199096000 204073400 206763000 209175235 211725312 215168000 220547200 223983000 229358592 229582575 233088000 238915200 242064000 244888080 248115600 251010282 255091750 261213952 264656640 275684000 286698240 293865696 298644000 306110100 310144500 317587968 318553600 322752000 326517440 330820800 334680376 349632000 352875520 358372800 367332120 376515423 382264320 382637625 387302400 391820928 396984960 398192000 408146800 413526000 418350470 441094400 447966000 459165150 477830400 484128000 489776160 496231200 502020564 510183500 522427904 529313280 551368000 573396480 587731392 597288000 612220200 620289000 627525705 635175936 637107200 645504000 653034880 661641600 669360752 699264000 716745600 734664240 753030846 765275250 783641856 793969920 796384000 816293600 827052000 836700940 882188800 895932000 918330300 955660800 968256000 979552320 992462400 1004041128 1020367000 1044855808 1045876175 1058626560 1102736000 1146792960 1147912875 1175462784 1194576000 1224440400 1240578000 1255051410 1306069760 1323283200 1338721504 1433491200 1469328480 1506061692 1530550500 1567283712 1587939840 1592768000 1632587200 1654104000 1673401880 1764377600 1791864000 1836660600 1882577115 1911321600 1936512000 1959104640 1984924800 2008082256 2040734000 2091752350 2205472000 2295825750 2350925568 2389152000 2448880800 2481156000 2510102820 2612139520 2646566400 2677443008 2866982400 2938656960 3012123384 3061101000 3134567424 3137628525 3175879680 3185536000 3265174400 3308208000 3346803760 3583728000 3673321200 3765154230 3918209280 3969849600 4016164512 4081468000 4183504700 4410944000 4591651500 4701851136 4778304000 4897761600 4962312000 5020205640 5224279040 5229380875 5293132800 5354886016 5733964800 5877313920 6024246768 6122202000 6275257050 6530348800 6616416000 6693607520 7167456000 7346642400 7530308460 7836418560 7939699200 8032329024 8162936000 8367009400 8821888000 9183303000 9403702272 9412885575 9556608000 9795523200 9924624000 10040411280 10458761750 10709772032 11754627840 12048493536 12244404000 12550514100 13060697600 13232832000 13387215040 14334912000 14693284800 15060616920 15672837120 15688142625 15879398400 16064658048 16325872000 16734018800 18366606000 18825771150 19591046400 19849248000 20080822560 20917523500 21419544064 23509255680 24096987072 24488808000 25101028200 26121395200 26465664000 26774430080 28669824000 29386569600 30121233840 31376285250 32129316096 32651744000 33468037600 36733212000 37651542300 39182092800 39698496000 40161645120 41835047000 42839088128 47018511360 47064427875 48193974144 48977616000 50202056400 53548860160 58773139200 60242467680 62752570500 64258632192 65303488000 66936075200 73466424000 75303084600 78364185600 79396992000 80323290240 83670094000 94128855750 96387948288 97955232000 100404112800 107097720320 117546278400 120484935360 125505141000 128517264384 130606976000 133872150400 146932848000 150606169200 160646580480 167340188000 188257711500 192775896576 195910464000 200808225600 214195440640 235092556800 240969870720 251010282000 267744300800 293865696000 301212338400 321293160960 334680376000 376515423000 385551793152 391820928000 401616451200 481939741440 502020564000 535488601600 587731392000 602424676800 642586321920 669360752000 753030846000 803232902400 963879482880 1004041128000 1070977203200 1175462784000 1204849353600 1338721504000 1506061692000 1606465804800 1927758965760 2008082256000 2409698707200 2677443008000 3012123384000 3212931609600 4016164512000 4819397414400 5354886016000 6024246768000 8032329024000 9638794828800 12048493536000 16064658048000 24096987072000 48193974144000
- Sum of all divisors σ(n): 178305465042432
- Sum of proper divisors (its aliquot sum) s(n): 130111490898432
- 48193974144000 is an abundant number, because the sum of its proper divisors (130111490898432) is greater than itself. Its abundance is 81917516754432
Bases of 48193974144000
- Binary: 10101111010101000010001011010110001100000000002
- Hexadecimal: 0x2BD508B58C00
- Base-36: H3007VGG0
Squares and roots of 48193974144000
- 48193974144000 squared (481939741440002) is 2322659143792540532736000000
- 48193974144000 cubed (481939741440003) is 111938174721262876534750769577984000000000
-
The
square root of 48193974144000 is 6942187.9939972815 -
The
cube root of 48193974144000 is 36391.3008394983
Scales and comparisons
How big is 48193974144000?- 48,193,974,144,000 seconds is equal to 1,532,419 years, 15 weeks, 5 days, 16 hours.
-
To count from 1 to 48,193,974,144,000 would take you about three million, eight hundred thirty-one thousand and forty-eight 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 48193974144000 cubic inches would be around 3032.6 feet tall.
Recreational maths with 48193974144000
- 48193974144000 backwards is 00044147939184
- The number of decimal digits it has is: 14
- The sum of 48193974144000's digits is 54
- More coming soon!
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The information we have on file for 48193974144000 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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