380134523072293920
380,134,523,072,293,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 380134523072293920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
380134523072293920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 380134523072293920:
25 × 33 × 5 × 7 × 19 × 73 × 9063147859
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 73 × 9063147859)See below for interesting mathematical facts about the number 380134523072293920 from the Numbermatics database.
Names of 380134523072293920
- Cardinal: 380134523072293920 can be written as Three hundred eighty quadrillion, one hundred thirty-four trillion, five hundred twenty-three billion, seventy-two million, two hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.8013452307229392 × 1017
Factors of 380134523072293920
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 9063147968
Divisors of 380134523072293920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 54 56 57 60 63 70 72 73 76 80 84 90 95 96 105 108 112 114 120 126 133 135 140 144 146 152 160 168 171 180 189 190 210 216 219 224 228 240 252 266 270 280 285 288 292 304 315 336 342 360 365 378 380 399 420 432 438 456 480 504 511 513 532 540 560 570 584 608 630 657 665 672 684 720 730 756 760 798 840 855 864 876 912 945 1008 1022 1026 1064 1080 1095 1120 1140 1168 1197 1260 1314 1330 1368 1387 1440 1460 1512 1520 1533 1596 1680 1710 1752 1824 1890 1971 1995 2016 2044 2052 2128 2160 2190 2280 2336 2394 2520 2555 2565 2628 2660 2736 2774 2920 3024 3040 3066 3192 3285 3360 3420 3504 3591 3780 3942 3990 4088 4104 4161 4256 4320 4380 4560 4599 4788 5040 5110 5130 5256 5320 5472 5548 5840 5985 6048 6132 6384 6570 6840 6935 7008 7182 7560 7665 7884 7980 8176 8208 8322 8760 9120 9198 9576 9709 9855 10080 10220 10260 10512 10640 11096 11680 11970 12264 12483 12768 13140 13680 13797 13870 14364 15120 15330 15768 15960 16352 16416 16644 17520 17955 18396 19152 19418 19710 20440 20520 20805 21024 21280 22192 22995 23940 24528 24966 26280 27360 27594 27740 28728 29127 30240 30660 31536 31920 33288 35040 35910 36792 37449 38304 38836 39420 40880 41040 41610 44384 45990 47880 48545 49056 49932 52560 55188 55480 57456 58254 61320 62415 63072 63840 66576 68985 71820 73584 74898 77672 78840 81760 82080 83220 87381 91980 95760 97090 99864 105120 110376 110960 114912 116508 122640 124830 133152 137970 143640 145635 147168 149796 155344 157680 166440 174762 183960 187245 191520 194180 199728 220752 221920 233016 245280 249660 262143 275940 287280 291270 299592 310688 315360 332880 349524 367920 374490 388360 399456 436905 441504 466032 499320 524286 551880 574560 582540 599184 665760 699048 735840 748980 776720 873810 932064 998640 1048572 1103760 1165080 1198368 1310715 1398096 1497960 1553440 1747620 1997280 2097144 2207520 2330160 2621430 2796192 2995920 3495240 4194288 4660320 5242860 5991840 6990480 8388576 10485720 13980960 20971440 41942880 9063147859 18126295718 27189443577 36252591436 45315739295 54378887154 63442035013 72505182872 81568330731 90631478590 108757774308 126884070026 135947217885 145010365744 163136661462 172199809321 181262957180 190326105039 217515548616 244704992193 253768140052 271894435770 290020731488 317210175065 326273322924 344399618642 362525914360 380652210078 407841653655 435031097232 489409984386 507536280104 516599427963 543788871540 570978315117 634420350130 652546645848 661609793707 688799237284 725051828720 761304420156 815683307310 860999046605 870062194464 951630525195 978819968772 1015072560208 1033198855926 1087577743080 1141956630234 1205398665247 1223524960965 1268840700260 1305093291696 1323219587414 1377598474568 1450103657440 1522608840312 1549798283889 1631366614620 1712934945351 1721998093210 1903261050390 1957639937544 1984829381121 2030145120416 2066397711852 2175155486160 2283913260468 2410797330494 2447049921930 2537681400520 2582997139815 2610186583392 2646439174828 2755196949136 2854891575585 3045217680624 3099596567778 3262733229240 3308048968535 3425869890702 3443996186420 3616195995741 3806522100780 3915279875088 3969658762242 4132795423704 4350310972320 4567826520936 4631268555949 4649394851667 4821594660988 4894099843860 5075362801040 5165994279630 5292878349656 5510393898272 5709783151170 5954488143363 6026993326235 6090435361248 6199193135556 6525466458480 6616097937070 6851739781404 6887992372840 7232391991482 7613044201560 7748991419445 7830559750176 7939317524484 8265590847408 8564674726755 9135653041872 9262537111898 9298789703334 9643189321976 9788199687720 9924146905605 10150725602080 10331988559260 10585756699312 10848587987223 11419566302340 11908976286726 12053986652470 12398386271112 12570586080433 13050932916960 13232195874140 13703479562808 13775984745680 13893805667847 14464783982964 15226088403120 15497982838890 15878635048968 16531181694816 17129349453510 17863464430089 18080979978705 18271306083744 18525074223796 18597579406668 19286378643952 19576399375440 19848293811210 20663977118520 21171513398624 21697175974446 22839132604680 23156342779745 23246974258335 23817952573452 24107973304940 24796772542224 25141172160866 26464391748280 27406959125616 27551969491360 27787611335694 28929567965928 29772440716815 30452176806240 30995965677780 31757270097936 32545763961669 34258698907020 35726928860178 36161959957410 37050148447592 37195158813336 37711758241299 38572757287904 39152798750880 39696587622420 41327954237040 41681417003541 43394351948892 45678265209360 46312685559490 46493948516670 47635905146904 48215946609880 49593545084448 50282344321732 52928783496560 54242939936115 54813918251232 55575222671388 57859135931856 59544881433630 61991931355560 62852930402165 63514540195872 65091527923338 68517397814040 69469028339235 71453857720356 72323919914820 74100296895184 74390317626672 75423516482598 79393175244840 82655908474080 83362834007082 86788703897784 87994102563031 89317322150445 91356530418720 92625371118980 92987897033340 95271810293808 96431893219760 100564688643464 105857566993120 108485879872230 111150445342776 113135274723897 115718271863712 119089762867260 123983862711120 125044251010623 125705860804330 130183055846676 137034795628080 138938056678470 142907715440712 144647839829640 148200593790368 148780635253344 150847032965196 158786350489680 162728819808345 166725668014164 173577407795568 175988205126062 178634644300890 185250742237960 185975794066680 188558791206495 190543620587616 192863786439520 201129377286928 208407085017705 216971759744460 222300890685552 226270549447794 238179525734520 247967725422240 250088502021246 251411721608660 260366111693352 263982307689093 274069591256160 277876113356940 285815430881424 289295679659280 301694065930392 317572700979360 325457639616690 333451336028328 339405824171691 347154815591136 351976410252124 357269288601780 370501484475920 371951588133360 377117582412990 402258754573856 416814170035410 433943519488920 439970512815155 444601781371104 452541098895588 476359051469040 500177004042492 502823443217320 520732223386704 527964615378186 555752226713880 565676373619485 571630861762848 578591359318560 603388131860784 625221255053115 650915279233380 666902672056656 678811648343382 703952820504248 714538577203560 741002968951840 743903176266720 754235164825980 791946923067279 833628340070820 867887038977840 879941025630310 905082197791176 952718102938080 1000354008084984 1005646886434640 1041464446773408 1055929230756372 1111504453427760 1131352747238970 1206776263721568 1250442510106230 1301830558466760 1319911538445465 1333805344113312 1357623296686764 1407905641008496 1429077154407120 1508470329651960 1583893846134558 1667256680141640 1697029120858455 1735774077955680 1759882051260620 1810164395582352 2000708016169968 2011293772869280 2111858461512744 2223008906855520 2262705494477940 2375840769201837 2500885020212460 2603661116933520 2639823076890930 2715246593373528 2815811282016992 2858154308814240 3016940659303920 3167787692269116 3334513360283280 3394058241716910 3519764102521240 3620328791164704 3959734615336395 4001416032339936 4223716923025488 4525410988955880 4751681538403674 5001770040424920 5207322233867040 5279646153781860 5430493186747056 6033881318607840 6335575384538232 6669026720566560 6788116483433820 7039528205042480 7919469230672790 8447433846050976 9050821977911760 9503363076807348 10003540080849840 10559292307563720 10860986373494112 11879203846009185 12671150769076464 13576232966867640 14079056410084960 15838938461345580 18101643955823520 19006726153614696 20007080161699680 21118584615127440 23758407692018370 25342301538152928 27152465933735280 31677876922691160 38013452307229392 42237169230254880 47516815384036740 54304931867470560 63355753845382320 76026904614458784 95033630768073480 126711507690764640 190067261536146960 380134523072293920
- Sum of all divisors σ(n): 1622491980415488000
- Sum of proper divisors (its aliquot sum) s(n): 1242357457343194080
- 380134523072293920 is an abundant number, because the sum of its proper divisors (1242357457343194080) is greater than itself. Its abundance is 862222934270900160
Bases of 380134523072293920
- Binary: 101010001101000001001010101101011101001011000101100001000002
- Hexadecimal: 0x5468255AE962C20
- Base-36: 2VYYFX32PJC0
Squares and roots of 380134523072293920
- 380134523072293920 squared (3801345230722939202) is 144502255631400358595226730868966400
- 380134523072293920 cubed (3801345230722939203) is 54930296027313073645061470427978551630329787404288000
-
The
square root of 380134523072293920 is 616550503.2617311229 -
The
cube root of 380134523072293920 is 724401.1054583849
Scales and comparisons
How big is 380134523072293920?- 380,134,523,072,293,920 seconds is equal to 12,087,102,000 years, 21 weeks, 4 days, 13 hours, 12 minutes.
-
To count from 1 to 380,134,523,072,293,920 would take you about thirty-six billion, two hundred sixty-one million, three hundred six thousand and one 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 380134523072293920 cubic inches would be around 60366.8 feet tall.
Recreational maths with 380134523072293920
- 380134523072293920 backwards is 029392270325431083
- 380134523072293920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 380134523072293920's digits is 63
- More coming soon!
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The information we have on file for 380134523072293920 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!
Keywords: Divisors of 380134523072293920, math, Factors of 380134523072293920, curriculum, school, college, exams, university, Prime factorization of 380134523072293920, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty quadrillion, one hundred thirty-four trillion, five hundred twenty-three billion, seventy-two million, two hundred ninety-three thousand, nine hundred twenty.