30972675384000
30,972,675,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 30972675384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
30972675384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 30972675384000:
26 × 32 × 53 × 72 × 631 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 631 × 13913)See below for interesting mathematical facts about the number 30972675384000 from the Numbermatics database.
Names of 30972675384000
- Cardinal: 30972675384000 can be written as Thirty trillion, nine hundred seventy-two billion, six hundred seventy-five million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.0972675384 × 1013
Factors of 30972675384000
Divisors of 30972675384000
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 280 288 294 300 315 320 336 350 360 375 392 400 420 441 448 450 480 490 500 504 525 560 576 588 600 630 631 672 700 720 735 750 784 800 840 875 882 900 960 980 1000 1008 1050 1120 1125 1176 1200 1225 1260 1262 1344 1400 1440 1470 1500 1568 1575 1600 1680 1750 1764 1800 1893 1960 2000 2016 2100 2205 2240 2250 2352 2400 2450 2520 2524 2625 2800 2880 2940 3000 3136 3150 3155 3360 3500 3528 3600 3675 3786 3920 4000 4032 4200 4410 4417 4500 4704 4800 4900 5040 5048 5250 5600 5679 5880 6000 6125 6300 6310 6720 7000 7056 7200 7350 7572 7840 7875 8000 8400 8820 8834 9000 9408 9465 9800 10080 10096 10500 11025 11200 11358 11760 12000 12250 12600 12620 13251 13913 14000 14112 14400 14700 15144 15680 15750 15775 16800 17640 17668 18000 18375 18930 19600 20160 20192 21000 22050 22085 22716 23520 24000 24500 25200 25240 26502 27826 28000 28224 28395 29400 30288 30919 31500 31550 33600 35280 35336 36000 36750 37860 39200 39753 40384 41739 42000 44100 44170 45432 47040 47325 49000 50400 50480 53004 55125 55652 56000 56790 58800 60576 61838 63000 63100 66255 69565 70560 70672 72000 73500 75720 78400 78875 79506 83478 84000 88200 88340 90864 92757 94650 97391 98000 100800 100960 106008 110250 110425 111304 113580 117600 121152 123676 125217 126000 126200 132510 139130 141120 141344 141975 147000 151440 154595 157750 159012 166956 168000 176400 176680 181728 185514 189300 194782 196000 198765 201920 208695 212016 220500 220850 222608 227160 235200 236625 247352 250434 252000 252400 265020 278260 278271 282688 283950 292173 294000 302880 309190 315500 318024 331275 333912 347825 352800 353360 363456 371028 378600 389564 392000 397530 417390 424032 441000 441700 445216 454320 463785 473250 486955 494704 500868 504000 504800 530040 552125 556520 556542 567900 584346 588000 605760 618380 626085 631000 636048 662550 667824 681737 695650 705600 706720 709875 742056 757200 772975 779128 795060 834780 848064 876519 882000 883400 890432 908640 927570 946500 973910 989408 993825 1001736 1009600 1043475 1060080 1104250 1113040 1113084 1135800 1168692 1176000 1236760 1252170 1262000 1272096 1325100 1335648 1363474 1391300 1391355 1413440 1419750 1460865 1484112 1514400 1545950 1558256 1590120 1656375 1669560 1739125 1753038 1764000 1766800 1817280 1855140 1893000 1947820 1978816 1987650 2003472 2045211 2086950 2120160 2208500 2226080 2226168 2271600 2318925 2337384 2434775 2473520 2504340 2524000 2544192 2650200 2671296 2726948 2782600 2782710 2839500 2921730 2968224 3028800 3091900 3116512 3130425 3180240 3312750 3339120 3408685 3478250 3506076 3528000 3533600 3710280 3786000 3864875 3895640 3975300 4006944 4090422 4173900 4240320 4382595 4417000 4452160 4452336 4543200 4637850 4674768 4869550 4947040 4969125 5008680 5048000 5217375 5300400 5453896 5565200 5565420 5679000 5843460 5936448 6135633 6183800 6233024 6260850 6360480 6625500 6678240 6817370 6956500 6956775 7012152 7067200 7304325 7420560 7572000 7729750 7791280 7950600 8013888 8180844 8347800 8765190 8779103 8834000 8904672 9086400 9275700 9349536 9739100 9894080 9938250 10017360 10226055 10434750 10600800 10907792 11130400 11130840 11358000 11594625 11686920 12173875 12271266 12367600 12521700 12720960 13251000 13356480 13634740 13913000 13913550 14024304 14608650 14841120 15144000 15459500 15582560 15652125 15901200 16361688 16695600 17043425 17530380 17558206 17668000 17809344 18551400 18699072 19478200 19876500 20034720 20452110 20869500 21201600 21815584 21912975 22260800 22261680 22716000 23189250 23373840 24347750 24542532 24735200 25043400 26337309 26502000 27269480 27826000 27827100 28048608 29217300 29682240 30678165 30919000 31165120 31304250 31802400 32723376 33391200 34086850 34783875 35060760 35116412 35336000 36521625 37102800 38956400 39753000 40069440 40904220 41739000 43631168 43825950 43895515 44523360 45432000 46378500 46747680 48695500 49085064 49470400 50086800 51130275 52674618 53004000 54538960 55652000 55654200 56097216 58434600 61356330 61453721 61838000 62608500 63604800 65446752 66782400 68173700 69567750 70121520 70232824 73043250 74205600 77912800 79011927 79506000 81808440 83478000 85217125 87651900 87791030 89046720 92757000 93495360 97391000 98170128 100173600 102260550 105349236 106008000 109077920 109564875 111304000 111308400 116869200 122712660 122907442 123676000 125217000 130893504 131686545 136347400 139135500 140243040 140465648 146086500 148411200 153390825 155825600 158023854 159012000 163616880 166956000 170434250 175303800 175582060 184361163 185514000 194782000 196340256 200347200 204521100 210698472 218155840 219129750 219477575 222616800 233738400 245425320 245814884 247352000 250434000 255651375 263373090 272694800 278271000 280486080 280931296 292173000 306781650 307268605 316047708 318024000 327233760 333912000 340868500 350607600 351164120 368722326 371028000 389564000 392680512 395059635 409042200 421396944 430176047 438259500 438955150 445233600 467476800 490850640 491629768 500868000 511302750 526746180 545389600 553083489 556542000 561862592 584346000 613563300 614537210 632095416 654467520 658432725 681737000 701215200 702328240 737444652 742056000 766954125 779128000 790119270 818084400 842793888 860352094 876519000 877910300 921805815 981701280 983259536 1001736000 1022605500 1053492360 1090779200 1097387875 1106166978 1113084000 1168692000 1227126600 1229074420 1264190832 1290528141 1316865450 1363474000 1402430400 1404656480 1474889304 1533908250 1536343025 1580238540 1636168800 1685587776 1720704188 1753038000 1755820600 1843611630 1963402560 1966519072 1975298175 2045211000 2106984720 2150880235 2194775750 2212333956 2226168000 2337384000 2454253200 2458148840 2528381664 2581056282 2633730900 2726948000 2765417445 2809312960 2949778608 3067816500 3072686050 3160477080 3272337600 3292163625 3441408376 3506076000 3511641200 3687223260 3871584423 3933038144 3950596350 4090422000 4213969440 4301760470 4389551500 4424667912 4609029075 4908506400 4916297680 5056763328 5162112564 5267461800 5453896000 5530834890 5899557216 6135633000 6145372100 6320954160 6452640705 6584327250 6882816752 7012152000 7023282400 7374446520 7681715125 7743168846 7901192700 8180844000 8427938880 8603520940 8779103000 8849335824 9218058150 9817012800 9832595360 9876490875 10324225128 10534923600 10754401175 11061669780 11799114432 12271266000 12290744200 12641908320 12905281410 13168654500 13765633504 13827087225 14046564800 14748893040 15363430250 15486337692 15802385400 16361688000 17207041880 17558206000 17698671648 18436116300 19357922115 19665190720 19752981750 20648450256 21069847200 21508802350 22123339560 23045145375 24542532000 24581488400 25283816640 25810562820 26337309000 27531267008 27654174450 29497786080 30726860500 30972675384 31604770800 32263203525 34414083760 35116412000 35397343296 36872232600 38715844230 39505963500 41296900512 42139694400 43017604700 44246679120 46090290750 49085064000 49162976800 51621125640 52674618000 53772005875 55308348900 58995572160 61453721000 61945350768 63209541600 64526407050 68828167520 69135436125 70232824000 73744465200 77431688460 79011927000 82593801024 86035209400 88493358240 92180581500 96789610575 98325953600 103242251280 105349236000 107544011750 110616697800 122907442000 123890701536 126419083200 129052814100 137656335040 138270872250 147488930400 154863376920 158023854000 161316017625 172070418800 176986716480 184361163000 193579221150 206484502560 210698472000 215088023500 221233395600 245814884000 247781403072 258105628200 276541744500 294977860800 309726753840 316047708000 322632035250 344140837600 368722326000 387158442300 412969005120 430176047000 442466791200 483948052875 491629768000 516211256400 553083489000 619453507680 632095416000 645264070500 688281675200 737444652000 774316884600 860352094000 884933582400 967896105750 1032422512800 1106166978000 1238907015360 1290528141000 1474889304000 1548633769200 1720704188000 1935792211500 2064845025600 2212333956000 2581056282000 3097267538400 3441408376000 3871584423000 4424667912000 5162112564000 6194535076800 7743168846000 10324225128000 15486337692000 30972675384000
- Sum of all divisors σ(n): 129096837844416
- Sum of proper divisors (its aliquot sum) s(n): 98124162460416
- 30972675384000 is an abundant number, because the sum of its proper divisors (98124162460416) is greater than itself. Its abundance is 67151487076416
Bases of 30972675384000
- Binary: 1110000101011011000110101000001100010110000002
- Hexadecimal: 0x1C2B635062C0
- Base-36: AZ8NF8DS0
Squares and roots of 30972675384000
- 30972675384000 squared (309726753840002) is 959306620442639547456000000
- 30972675384000 cubed (309726753840003) is 29712292548691973095475351023104000000000
-
The
square root of 30972675384000 is 5565309.9989129087 -
The
cube root of 30972675384000 is 31404.5740236523
Scales and comparisons
How big is 30972675384000?- 30,972,675,384,000 seconds is equal to 984,835 years, 14 weeks, 1 day, 4 hours.
-
To count from 1 to 30,972,675,384,000 would take you about two million, four hundred sixty-two thousand and eighty-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 30972675384000 cubic inches would be around 2617 feet tall.
Recreational maths with 30972675384000
- 30972675384000 backwards is 00048357627903
- The number of decimal digits it has is: 14
- The sum of 30972675384000's digits is 54
- More coming soon!
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The information we have on file for 30972675384000 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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