380972081344000
380,972,081,344,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 380972081344000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
380972081344000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 380972081344000:
29 × 53 × 172 × 19 × 41 × 137 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 19 × 41 × 137 × 193)See below for interesting mathematical facts about the number 380972081344000 from the Numbermatics database.
Names of 380972081344000
- Cardinal: 380972081344000 can be written as Three hundred eighty trillion, nine hundred seventy-two billion, eighty-one million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.80972081344 × 1014
Factors of 380972081344000
Divisors of 380972081344000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 41 50 64 68 76 80 82 85 95 100 125 128 136 137 152 160 164 170 190 193 200 205 250 256 272 274 289 304 320 323 328 340 380 386 400 410 425 475 500 512 544 548 578 608 640 646 656 680 685 697 760 772 779 800 820 850 950 965 1000 1025 1088 1096 1156 1216 1280 1292 1312 1360 1370 1394 1445 1520 1544 1558 1600 1615 1640 1700 1900 1930 2000 2050 2125 2176 2192 2312 2329 2375 2432 2560 2584 2603 2624 2720 2740 2788 2890 3040 3088 3116 3200 3230 3280 3281 3400 3425 3485 3667 3800 3860 3895 4000 4100 4250 4352 4384 4624 4658 4750 4825 4864 5125 5168 5206 5248 5440 5480 5491 5576 5617 5780 6080 6176 6232 6400 6460 6560 6562 6800 6850 6970 7225 7334 7600 7720 7790 7913 8000 8075 8200 8500 8704 8768 9248 9316 9500 9650 9728 10250 10336 10412 10496 10880 10960 10982 11152 11234 11560 11645 11849 12160 12352 12464 12800 12920 13015 13120 13124 13243 13600 13700 13940 14450 14668 15200 15440 15580 15826 16000 16150 16400 16405 17000 17125 17425 17536 18335 18496 18632 19000 19300 19475 20500 20672 20824 20992 21760 21920 21964 22304 22468 23120 23290 23698 24125 24320 24704 24928 25840 26030 26240 26248 26441 26486 27200 27400 27455 27880 28085 28900 29336 30400 30880 31160 31652 32000 32300 32800 32810 34000 34250 34850 35072 36125 36670 36992 37264 38000 38600 38950 39565 39593 40375 41000 41344 41648 43520 43840 43928 44251 44608 44936 46240 46580 47396 48250 48640 49408 49856 51680 52060 52480 52496 52882 52972 54400 54800 54910 55760 55777 56170 57800 58225 58672 59245 60800 61760 62320 62339 63304 64000 64600 65075 65600 65620 66215 68000 68500 69700 70144 72250 73340 73984 74528 76000 77200 77900 79130 79186 80750 82000 82025 82688 83296 87125 87680 87856 88502 89216 89872 91675 92480 93160 94792 95489 96500 97375 98816 99712 103360 104120 104960 104992 105764 105944 106723 108800 109600 109820 111520 111554 112340 115600 116450 117344 118490 121600 123520 124640 124678 126608 129200 130150 131200 131240 132205 132430 134521 136000 137000 137275 139400 140425 144500 146680 147968 149056 150347 152000 154400 155800 158260 158372 161500 164000 164050 165376 166592 174250 175360 175712 177004 178432 179744 183350 184960 186320 189584 190978 193000 194750 197825 197965 199424 206720 208240 209984 211528 211888 213446 217600 219200 219640 221255 223040 223108 224680 225131 231200 232900 234688 236980 243200 247040 249280 249356 253216 258400 260300 262400 262480 264410 264860 269042 272000 274000 274550 278800 278885 280850 289000 291125 293360 296225 298112 300694 304000 308800 311600 311695 316520 316744 323000 325375 328000 328100 331075 333184 348500 350720 351424 354008 356864 359488 366700 369920 372640 379168 381956 386000 389500 395650 395930 398848 410125 413440 416480 419968 423056 423776 426892 438400 439280 442510 446080 446216 449360 449497 450262 458375 462400 465800 469376 473960 477445 494080 498560 498712 502379 506432 516800 520600 524800 524960 528820 529720 533615 538084 544000 548000 549100 557600 557770 561700 578000 582250 586720 592450 596224 601388 608000 617600 623200 623390 633040 633488 646000 650750 656000 656200 661025 662150 666368 672605 686375 697000 702125 702848 708016 718976 733400 739840 745280 751735 752267 758336 763912 772000 779000 791300 791860 820250 826880 832960 839936 846112 847552 853784 876800 878560 885020 892160 892432 898720 898994 900524 916750 924800 931600 938752 947920 954890 989125 989825 997120 997424 1004758 1012864 1033600 1041200 1049920 1057640 1059440 1059763 1067230 1076168 1084081 1088000 1096000 1098200 1106275 1115200 1115540 1123400 1125655 1156000 1164500 1173440 1184900 1192448 1202776 1216000 1235200 1246400 1246780 1266080 1266976 1292000 1301500 1312000 1312400 1322050 1324300 1332736 1345210 1372750 1394000 1394425 1404250 1405696 1416032 1437952 1466800 1481125 1490560 1503470 1504534 1516672 1527824 1544000 1558000 1558475 1582600 1583720 1623313 1640500 1655375 1665920 1679872 1692224 1695104 1707568 1753600 1757120 1770040 1784320 1784864 1797440 1797988 1801048 1814291 1833500 1849600 1863200 1877504 1895840 1909780 1978250 1979650 1994240 1994848 2009516 2025728 2067200 2082400 2099840 2115280 2118880 2119526 2134460 2152336 2168162 2192000 2196400 2212550 2230400 2231080 2246800 2247485 2251310 2286857 2312000 2329000 2346880 2369800 2387225 2405552 2470400 2492800 2493560 2511895 2532160 2533952 2555899 2584000 2603000 2624000 2624800 2644100 2648600 2668075 2690420 2745500 2788000 2788850 2808500 2811392 2832064 2875904 2933600 2962250 2981120 3006940 3009068 3033344 3055648 3088000 3116000 3116950 3165200 3167440 3246626 3281000 3305125 3310750 3331840 3363025 3384448 3390208 3415136 3514240 3540080 3569728 3594880 3595976 3602096 3628582 3667000 3699200 3726400 3758675 3761335 3791680 3819560 3956500 3959300 3989696 4019032 4051456 4134400 4164800 4199680 4230560 4237760 4239052 4268920 4304672 4336324 4384000 4392800 4425100 4460800 4462160 4493600 4494970 4502620 4573714 4624000 4658000 4693760 4739600 4774450 4811104 4949125 4985600 4987120 5023790 5064320 5067904 5111798 5168000 5206000 5249600 5288200 5297200 5298815 5336150 5380840 5420405 5491000 5531375 5576000 5577700 5617000 5628275 5664128 5867200 5924500 5962240 6013880 6018136 6066688 6111296 6176000 6232000 6233900 6330400 6334880 6493252 6562000 6610250 6621500 6663680 6726050 6768896 6780416 6830272 6972125 7028480 7080160 7139456 7189760 7191952 7204192 7257164 7334000 7452800 7517350 7522670 7583360 7639120 7641449 7792375 7913000 7918600 7979392 8038064 8116565 8329600 8399360 8461120 8475520 8478104 8537840 8540443 8609344 8672648 8768000 8785600 8850200 8921600 8924320 8987200 8989940 9005240 9071455 9147428 9248000 9316000 9387520 9479200 9548900 9622208 9898250 9971200 9974240 10047580 10128640 10135808 10223596 10336000 10412000 10499200 10576400 10594400 10597630 10672300 10761680 10840810 10982000 11062750 11152000 11155400 11234000 11237425 11256550 11328256 11434285 11734400 11849000 11936125 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817887680 823901560 831136256 846112000 847552000 847810400 853784000 854044300 860934400 867264800 869005660 892432000 898994000 900524000 907145500 914742800 921468850 928916992 955181125 962220800 962901760 978105472 986974304 997424000 1004758000 1022359600 1029876950 1038920320 1059763000 1067555375 1076168000 1084081000 1086257075 1093176704 1143428500 1150712320 1161146240 1161500248 1170870784 1179480128 1202776000 1203627200 1222259200 1222631840 1233717880 1253197636 1266976000 1277949500 1286090240 1298650400 1308620288 1318242496 1356496640 1366054400 1366470880 1387623680 1390409056 1400632652 1416032000 1438390400 1440838400 1451432800 1451875310 1463588480 1474350160 1504534000 1527824000 1528289800 1542147350 1566497045 1607612800 1623313000 1635775360 1647803120 1692224000 1695620800 1707568000 1708088600 1721868800 1734529600 1738011320 1750790815 1784864000 1797988000 1801048000 1814291000 1829485600 1842937700 1910362250 1924441600 1925803520 1956210944 1973948608 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5561636224 5602530608 5753561600 5805731200 5807501240 5854353920 5897400640 5952688771 6018136000 6111296000 6113159200 6168589400 6265988180 6430451200 6493252000 6543101440 6591212480 6782483200 6830272000 6832354400 6938118400 6952045280 7003163260 7191952000 7204192000 7257164000 7259376550 7317942400 7371750800 7641449000 7710736750 7832485225 7895794432 8038064000 8178876800 8239015600 8478104000 8540443000 8609344000 8672648000 8690056600 8753954075 9147428000 9214688500 9292001984 9435841024 9622208000 9629017600 9781054720 9869743040 10025581088 10223596000 10298769500 10389203200 10545939968 10862570750 10931767040 11123272448 11205061216 11611462400 11615002480 11794801280 11905377542 12036272000 12226318400 12337178800 12531976360 12986504000 13182424960 13564966400 13664708800 13876236800 13904090560 14006326520 14383904000 14408384000 14514328000 14518753100 14635884800 14743501600 15282898000 15421473500 15664970450 15791588864 16076128000 16357753600 16478031200 16956208000 17080886000 17345296000 17380113200 17507908150 18148441375 18294856000 18429377000 18584003968 19562109440 19739486080 20051162176 20447192000 20597539000 20778406400 21725141500 21863534080 22246544896 22410122432 23222924800 23230004960 23589602560 23810755084 24072544000 24452636800 24674357600 25063952720 25973008000 26364849920 27329417600 27808181120 28012653040 28767808000 29028656000 29037506200 29271769600 29487003200 29763443855 30565796000 30842947000 31329940900 32152256000 32715507200 32956062400 33912416000 34161772000 34690592000 34760226400 35015816300 36296882750 36589712000 36858754000 37168007936 39162426125 39478972160 40102324352 40894384000 41195078000 43450283000 43769770375 44820244864 46460009920 47179205120 47621510168 48145088000 48905273600 49348715200 50127905440 51946016000 52729699840 54658835200 55616362240 56025306080 58057312000 58075012400 58974006400 59526887710 61131592000 61685894000 62659881800 65912124800 67824832000 68323544000 69381184000 69520452800 70031632600 72593765500 73179424000 73717508000 74336015872 78324852250 78957944320 80204648704 81788768000 82390156000 86900566000 87539540750 89640489728 92920019840 95243020336 97810547200 98697430400 100255810880 103892032000 109317670400 111232724480 112050612160 116114624000 116150024800 117948012800 119053775420 122263184000 123371788000 125319763600 131824249600 136647088000 139040905600 140063265200 145187531000 146358848000 147435016000 148817219275 156649704500 160409297408 163577536000 164780312000 173801132000 175079081500 179280979456 185840039680 190486040672 197394860800 200511621760 224101224320 232300049600 235896025600 238107550840 244526368000 246743576000 250639527200 263648499200 273294176000 278081811200 280126530400 290375062000 294870032000 297634438550 313299409000 329560624000 347602264000 350158163000 371680079360 380972081344 394789721600 401023243520 448202448640 464600099200 476215101680 489052736000 493487152000 501279054400 546588352000 556163622400 560253060800 580750124000 589740064000 595268877100 626598818000 659121248000 695204528000 700316326000 744086096375 761944162688 802046487040 896404897280 929200198400 952430203360 986974304000 1002558108800 1120506121600 1161500248000 1179480128000 1190537754200 1253197636000 1318242496000 1390409056000 1400632652000 1488172192750 1523888325376 1858400396800 1904860406720 1973948608000 2005116217600 2241012243200 2323000496000 2381075508400 2506395272000 2780818112000 2801265304000 2976344385500 3047776650752 3809720813440 4010232435200 4482024486400 4646000992000 4762151016800 5012790544000 5602530608000 5952688771000 7619441626880 9292001984000 9524302033600 10025581088000 11205061216000 11905377542000 15238883253760 19048604067200 20051162176000 22410122432000 23810755084000 38097208134400 47621510168000 76194416268800 95243020336000 190486040672000 380972081344000
- Sum of all divisors σ(n): 1101789704695680
- Sum of proper divisors (its aliquot sum) s(n): 720817623351680
- 380972081344000 is an abundant number, because the sum of its proper divisors (720817623351680) is greater than itself. Its abundance is 339845542007680
Bases of 380972081344000
- Binary: 10101101001111101111110011001001111101110000000002
- Hexadecimal: 0x15A7DF993EE00
- Base-36: 3R1K5OTON4
Squares and roots of 380972081344000
- 380972081344000 squared (3809720813440002) is 145139726763579352846336000000
- 380972081344000 cubed (3809720813440003) is 55294183790820287069173196524355584000000000
-
The
square root of 380972081344000 is 19518506.1248037115 -
The
cube root of 380972081344000 is 72493.2744514389
Scales and comparisons
How big is 380972081344000?- 380,972,081,344,000 seconds is equal to 12,113,733 years, 39 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 380,972,081,344,000 would take you about thirty million, two hundred eighty-four thousand, three hundred thirty-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 380972081344000 cubic inches would be around 6041.1 feet tall.
Recreational maths with 380972081344000
- 380972081344000 backwards is 000443180279083
- The number of decimal digits it has is: 15
- The sum of 380972081344000's digits is 49
- More coming soon!
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"Number 380972081344000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 380972081344000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/380972081344000/
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The information we have on file for 380972081344000 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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