385424140800
385,424,140,800 is an even composite number composed of seven prime numbers multiplied together.
385424140800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 385424140800:
29 × 3 × 52 × 31 × 41 × 53 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 41 × 53 × 149)See below for interesting mathematical facts about the number 385424140800 from the Numbermatics database.
Names of 385424140800
- Cardinal: 385424140800 can be written as Three hundred eighty-five billion, four hundred twenty-four million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.854241408 × 1011
Factors of 385424140800
Divisors of 385424140800
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 41 48 50 53 60 62 64 75 80 82 93 96 100 106 120 123 124 128 149 150 155 159 160 164 186 192 200 205 212 240 246 248 256 265 298 300 310 318 320 328 372 384 400 410 424 447 465 480 492 496 512 530 596 600 615 620 636 640 656 744 745 768 775 795 800 820 848 894 930 960 984 992 1025 1060 1192 1200 1230 1240 1271 1272 1280 1312 1325 1488 1490 1536 1550 1590 1600 1640 1643 1696 1788 1860 1920 1968 1984 2050 2120 2173 2235 2325 2384 2400 2460 2480 2542 2544 2560 2624 2650 2976 2980 3075 3100 3180 3200 3280 3286 3392 3576 3720 3725 3813 3840 3936 3968 3975 4100 4240 4346 4470 4619 4650 4768 4800 4920 4929 4960 5084 5088 5248 5300 5952 5960 6109 6150 6200 6355 6360 6400 6519 6560 6572 6784 7152 7440 7450 7626 7680 7872 7897 7936 7950 8200 8215 8480 8692 8940 9238 9300 9536 9600 9840 9858 9920 10168 10176 10496 10600 10865 11175 11904 11920 12218 12300 12400 12710 12720 12800 13038 13120 13144 13568 13857 14304 14880 14900 15252 15744 15794 15872 15900 16400 16430 16960 17384 17880 18327 18476 18600 19065 19072 19200 19680 19716 19840 20336 20352 20992 21200 21730 22350 23095 23691 23808 23840 24436 24600 24645 24800 25420 25440 26076 26240 26288 27136 27714 28608 29760 29800 30504 30545 31488 31588 31775 31800 32595 32800 32860 33920 34768 35760 36654 36952 37200 38130 38144 38400 39360 39432 39485 39680 40672 40704 41075 42400 43460 44700 46190 47382 47616 47680 48872 49200 49290 49600 50840 50880 52152 52480 52576 54325 55428 57216 59520 59600 61008 61090 62976 63176 63550 63600 65190 65600 65720 67363 67840 69285 69536 71520 73308 73904 74400 76260 76288 78720 78864 78970 79360 81344 81408 82150 84800 86920 89400 91635 92380 94764 95325 95360 97744 98400 98580 99200 101680 101760 104304 104960 105152 108650 110856 114432 115475 118455 119040 119200 122016 122180 123225 126352 127100 127200 130380 131200 131440 134726 135680 138570 139072 143040 146616 147808 148800 152520 152725 157440 157728 157940 162688 162975 164300 169600 173840 178800 183270 184760 189379 189528 190650 190720 195488 196800 197160 197425 198400 202089 203360 203520 208608 210304 217300 221712 228864 230950 236910 238080 238400 244032 244360 244807 246450 252704 254200 254400 260760 262400 262880 269452 277140 278144 286080 293232 295616 297600 305040 305450 314880 315456 315880 323777 325376 325950 328600 336815 339200 346425 347680 357600 366540 369520 378758 379056 381300 381440 390976 393600 394320 394850 396800 404178 406720 407040 417216 420608 434600 443424 458175 461900 473820 476800 488064 488720 489614 492900 505408 508400 508800 521520 524800 525760 538904 554280 556288 568137 572160 586464 591232 592275 595200 610080 610900 630912 631760 647554 650752 651900 657200 673630 678400 692850 695360 715200 733080 734421 739040 757516 758112 762600 781952 787200 788640 789700 808356 813440 834432 841216 869200 886848 916350 923800 946895 947640 953600 971331 976128 977440 979228 985800 1010445 1010816 1016800 1017600 1043040 1051520 1077808 1108560 1112576 1136274 1144320 1172928 1182464 1184550 1190400 1220160 1221800 1224035 1261824 1263520 1295108 1303800 1314400 1347260 1385700 1390720 1430400 1466160 1468842 1478080 1515032 1516224 1525200 1563904 1574400 1577280 1579400 1616712 1618885 1626880 1668864 1684075 1738400 1773696 1832700 1847600 1893790 1895280 1907200 1942662 1952256 1954880 1958456 1971600 2020890 2021632 2033600 2035200 2086080 2103040 2155616 2217120 2272548 2345856 2364928 2369100 2440320 2443600 2448070 2523648 2527040 2590216 2607600 2628800 2694520 2771400 2781440 2840685 2860800 2932320 2937684 2956160 3030064 3032448 3050400 3127808 3154560 3158800 3233424 3237770 3253760 3337728 3368150 3476800 3547392 3665400 3672105 3695200 3787580 3790560 3885324 3909760 3916912 3943200 4041780 4043264 4067200 4172160 4206080 4311232 4434240 4545096 4691712 4734475 4738200 4856655 4880640 4887200 4896140 5052225 5054080 5180432 5215200 5257600 5389040 5542800 5562880 5681370 5721600 5864640 5875368 5912320 6060128 6064896 6100800 6120175 6309120 6317600 6466848 6475540 6736300 6953600 7094784 7330800 7344210 7390400 7575160 7581120 7770648 7819520 7833824 7886400 8083560 8094425 8134400 8344320 8622464 8868480 9090192 9383424 9468950 9476400 9713310 9761280 9774400 9792280 10037087 10104450 10108160 10360864 10430400 10515200 10778080 11085600 11362740 11729280 11750736 11824640 12120256 12129792 12201600 12240350 12618240 12635200 12933696 12951080 13472600 13907200 14203425 14661600 14688420 14780800 15150320 15162240 15541296 15639040 15667648 15772800 16167120 16188850 16268800 16688640 17244928 17736960 18180384 18360525 18937900 18952800 19426620 19548800 19584560 20074174 20208900 20216320 20721728 20860800 21030400 21556160 22171200 22725480 23458560 23501472 24240512 24283275 24403200 24480700 25270400 25867392 25902160 26945200 27814400 28406850 29323200 29376840 29561600 30111261 30300640 30324480 31082592 31335296 31545600 32334240 32377700 34489856 35473920 36360768 36721050 37875800 37905600 38853240 39097600 39169120 40148348 40417800 41443456 41721600 43112320 44342400 45450960 46917120 47002944 48481024 48566550 48806400 48961400 50185435 50540800 51734784 51804320 53890400 56813700 58646400 58753680 59123200 60222522 60601280 60648960 62165184 62670592 63091200 64668480 64755400 72721536 73442100 75751600 75811200 77706480 78195200 78338240 80296696 80835600 82886912 83443200 86224640 88684800 90901920 94005888 96962048 97133100 97922800 100370870 101081600 103469568 103608640 107780800 113627400 117292800 117507360 120445044 121202560 124330368 125341184 129336960 129510800 145443072 146884200 150556305 151503200 151622400 155412960 156676480 160593392 161671200 165773824 172449280 177369600 181803840 188011776 194266200 195845600 200741740 207217280 215561600 227254800 234585600 235014720 240890088 242405120 248660736 250927175 258673920 259021600 290886144 293768400 301112610 303006400 303244800 310825920 313352960 321186784 323342400 363607680 376023552 388532400 391691200 401483480 414434560 431123200 454509600 470029440 481780176 484810240 497321472 501854350 517347840 518043200 587536800 602225220 606012800 621651840 626705920 642373568 646684800 727215360 752781525 777064800 783382400 802966960 828869120 862246400 909019200 940058880 963560352 1003708700 1036086400 1175073600 1204450440 1212025600 1243303680 1284747136 1293369600 1454430720 1505563050 1554129600 1566764800 1605933920 1818038400 1880117760 1927120704 2007417400 2072172800 2350147200 2408900880 2424051200 2486607360 2569494272 2586739200 3011126100 3108259200 3133529600 3211867840 3636076800 3854241408 4014834800 4144345600 4700294400 4817801760 5138988544 6022252200 6216518400 6423735680 7272153600 7708482816 8029669600 9400588800 9635603520 12044504400 12433036800 12847471360 15416965632 16059339200 19271207040 24089008800 25694942720 32118678400 38542414080 48178017600 64237356800 77084828160 96356035200 128474713600 192712070400 385424140800
- Sum of all divisors σ(n): 1380961612800
- Sum of proper divisors (its aliquot sum) s(n): 995537472000
- 385424140800 is an abundant number, because the sum of its proper divisors (995537472000) is greater than itself. Its abundance is 610113331200
Bases of 385424140800
- Binary: 1011001101111010001000110101010000000002
- Hexadecimal: 0x59BD11AA00
- Base-36: 4X27KYDC
Squares and roots of 385424140800
- 385424140800 squared (3854241408002) is 148551768311418224640000
- 385424140800 cubed (3854241408003) is 57255437665749036061333389312000000
-
The
square root of 385424140800 is 620825.3706156023 -
The
cube root of 385424140800 is 7277.4568261253
Scales and comparisons
How big is 385424140800?- 385,424,140,800 seconds is equal to 12,255 years, 15 weeks, 2 days, 13 hours, 20 minutes.
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To count from 1 to 385,424,140,800 would take you about twenty-four thousand, five hundred ten 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 385424140800 cubic inches would be around 606.5 feet tall.
Recreational maths with 385424140800
- 385424140800 backwards is 008041424583
- The number of decimal digits it has is: 12
- The sum of 385424140800's digits is 39
- More coming soon!
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The information we have on file for 385424140800 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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