30438045144000
30,438,045,144,000 is an even composite number composed of seven prime numbers multiplied together.
30438045144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 30438045144000:
26 × 32 × 53 × 132 × 19 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 30438045144000 from the Numbermatics database.
Names of 30438045144000
- Cardinal: 30438045144000 can be written as Thirty trillion, four hundred thirty-eight billion, forty-five million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.0438045144 × 1013
Factors of 30438045144000
Divisors of 30438045144000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 31 32 36 38 39 40 45 48 50 52 57 60 62 64 65 72 75 76 78 80 90 93 95 96 100 104 114 117 120 124 125 130 137 144 150 152 155 156 160 169 171 180 186 190 192 195 200 208 225 228 234 240 247 248 250 260 274 279 285 288 300 304 310 312 320 325 338 342 360 372 375 380 390 400 403 411 416 450 456 465 468 475 480 494 496 500 507 520 548 558 570 576 585 589 600 608 620 624 650 676 684 685 720 741 744 750 760 775 780 800 806 822 832 845 855 900 912 930 936 950 960 961 975 988 992 1000 1014 1040 1096 1116 1125 1140 1170 1178 1200 1209 1216 1233 1235 1240 1248 1300 1352 1368 1370 1395 1425 1440 1482 1488 1500 1520 1521 1550 1560 1600 1612 1625 1644 1690 1710 1767 1781 1800 1824 1860 1872 1900 1922 1950 1976 1984 2000 2015 2028 2055 2080 2192 2223 2232 2250 2280 2325 2340 2356 2375 2400 2418 2466 2470 2480 2496 2535 2600 2603 2704 2736 2740 2790 2850 2880 2883 2925 2945 2964 2976 3000 3040 3042 3100 3120 3211 3224 3250 3288 3380 3420 3425 3534 3562 3600 3627 3648 3705 3720 3744 3800 3844 3875 3900 3952 4000 4030 4056 4110 4160 4225 4247 4275 4384 4446 4464 4500 4560 4650 4680 4712 4750 4800 4805 4836 4875 4932 4940 4960 5070 5200 5206 5239 5301 5343 5408 5472 5480 5580 5700 5766 5850 5890 5928 5952 6000 6045 6080 6084 6165 6175 6200 6240 6422 6448 6500 6576 6760 6840 6850 6975 7068 7124 7125 7200 7254 7410 7440 7488 7600 7605 7657 7688 7750 7800 7809 7904 8000 8060 8112 8220 8450 8494 8550 8649 8768 8835 8892 8905 8928 9000 9120 9300 9360 9424 9500 9610 9633 9672 9750 9864 9880 9920 10075 10140 10275 10400 10412 10478 10602 10686 10816 10944 10960 11115 11160 11400 11532 11625 11700 11780 11856 12000 12090 12168 12330 12350 12400 12480 12493 12675 12741 12844 12896 13000 13015 13152 13520 13680 13700 13950 14136 14248 14250 14400 14415 14508 14625 14725 14820 14880 15200 15210 15314 15376 15500 15600 15618 15717 15808 16029 16055 16120 16224 16440 16900 16988 17100 17125 17298 17670 17784 17810 17856 18000 18135 18240 18259 18525 18600 18720 18848 19000 19220 19266 19344 19500 19728 19760 20150 20280 20550 20800 20824 20956 21125 21204 21235 21372 21375 21920 22230 22320 22800 22971 23064 23153 23250 23400 23427 23560 23712 24000 24025 24180 24336 24660 24700 24800 24986 25350 25482 25688 25792 26000 26030 26195 26304 26505 26715 27040 27360 27400 27900 28272 28496 28500 28830 28899 29016 29250 29450 29640 29760 30225 30400 30420 30628 30752 30825 30875 31000 31200 31236 31434 32058 32110 32240 32448 32880 33800 33839 33976 34200 34250 34596 34875 35340 35568 35620 36000 36270 36518 37050 37200 37440 37479 37696 38000 38025 38223 38285 38440 38532 38688 39000 39045 39456 39520 40300 40560 41100 41648 41912 42250 42408 42470 42744 42750 43245 43840 44175 44460 44525 44640 45600 45942 46128 46306 46500 46800 46854 47120 47151 47424 48050 48165 48360 48672 49320 49400 49600 49972 50375 50700 50964 51375 51376 52000 52060 52390 53010 53430 54080 54720 54777 54800 55211 55575 55800 56544 56992 57000 57660 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3602135520 3702925200 3752224500 3776432400 3804755643 3850967250 3897816000 3902313480 3927489696 3959163000 3975192000 4002372800 4005005940 4064909875 4091135100 4107698400 4196036000 4227506270 4272006336 4272606000 4306458000 4363877440 4443510240 4450006600 4502669400 4628656500 4682776176 4720540500 4739652000 4877891850 4909362120 4929238080 4937233600 5002966000 5006257425 5035243200 5073007524 5113918875 5134623000 5167749600 5203084640 5278884000 5340007920 5454846800 5554387800 5562508250 5628336750 5696808000 5741944000 5809896000 5846724000 5853470220 6003559200 6136702650 6161547600 6171542000 6243701568 6294054000 6334660800 6341259405 6408009504 6459687000 6503855800 6545816160 6675009900 6764010032 6818558500 6846164000 6942984750 7120010560 7166952000 7204271040 7316837775 7405850400 7504449000 7552864800 7609511286 7701934500 7804626960 7854979392 7918326000 8010011880 8129819750 8182270200 8215396800 8343762375 8392072000 8455012540 8545212000 8612916000 8887020480 8900013200 9005338800 9257313000 9365552352 9441081000 9479304000 9755783700 9818724240 10005932000 10012514850 10146015048 10227837750 10269246000 10335499200 10406169280 10557768000 10568765675 10680015840 10909693600 11108775600 11125016500 11256673500 11693448000 11706940440 12007118400 12194729625 12273405300 12323095200 12343084000 12588108000 12682518810 12816019008 12919374000 13007711600 13091632320 13350019800 13528020064 13637117000 13692328000 13885969500 14633675550 14811700800 15008898000 15105729600 15219022572 15341756625 15403869000 15609253920 15836652000 16020023760 16259639500 16364540400 16687524750 16910025080 17090424000 17225832000 17800026400 18010677600 18514626000 18731104704 18882162000 19023778215 19511567400 19637448480 20011864000 20025029700 20292030096 20455675500 20538492000 21137531350 21360031680 21819387200 22217551200 22250033000 22513347000 23413880880 24389459250 24546810600 24646190400 24686168000 25031287125 25176216000 25365037620 25838748000 26015423200 26700039600 27056040128 27274234000 27771939000 29267351100 30017796000 30438045144 30683513250 30807738000 31218507840 31673304000 31706297025 32040047520 32519279000 32729080800 33375049500 33820050160 35600052800 36021355200 36584188875 37029252000 37764324000 38047556430 39023134800 39274896960 40050059400 40584060192 40911351000 41076984000 42275062700 44435102400 44500066000 45026694000 46827761760 48778918500 49093621200 50062574250 50730075240 51677496000 52030846400 52843828375 53400079200 54548468000 55543878000 58534702200 60035592000 60876090288 61367026500 61615476000 63412594050 64080095040 65038558000 65458161600 66750099000 67640100320 73168377750 74058504000 75528648000 76095112860 78046269600 80100118800 81168120384 81822702000 84550125400 89000132000 90053388000 93655523520 95118891075 97557837000 98187242400 100125148500 101460150480 105687656750 106800158400 109096936000 111087756000 117069404400 121752180576 122734053000 123230952000 126825188100 130077116000 133500198000 135280200640 146336755500 152190225720 156092539200 158531485125 160200237600 163645404000 169100250800 178000264000 180106776000 190237782150 195115674000 196374484800 200250297000 202920300960 211375313500 222175512000 234138808800 243504361152 245468106000 253650376200 260154232000 267000396000 292673511000 304380451440 317062970250 320400475200 327290808000 338200501600 380475564300 390231348000 400500594000 405840601920 422750627000 468277617600 475594455375 490936212000 507300752400 534000792000 585347022000 608760902880 634125940500 676401003200 760951128600 780462696000 801001188000 845501254000 951188910750 981872424000 1014601504800 1170694044000 1217521805760 1268251881000 1521902257200 1602002376000 1691002508000 1902377821500 2029203009600 2341388088000 2536503762000 3043804514400 3382005016000 3804755643000 5073007524000 6087609028800 7609511286000 10146015048000 15219022572000 30438045144000
- Sum of all divisors σ(n): 129175779788640
- Sum of proper divisors (its aliquot sum) s(n): 98737734644640
- 30438045144000 is an abundant number, because the sum of its proper divisors (98737734644640) is greater than itself. Its abundance is 68299689500640
Bases of 30438045144000
- Binary: 1101110101110111010001101111001010011110000002
- Hexadecimal: 0x1BAEE8DE53C0
- Base-36: ASF1M6WG0
Squares and roots of 30438045144000
- 30438045144000 squared (304380451440002) is 926474592188181980736000000
- 30438045144000 cubed (304380451440003) is 28200075461792872872929706345984000000000
-
The
square root of 30438045144000 is 5517068.5281225209 -
The
cube root of 30438045144000 is 31222.8291251261
Scales and comparisons
How big is 30438045144000?- 30,438,045,144,000 seconds is equal to 967,835 years, 35 weeks, 4 days, 4 hours.
-
To count from 1 to 30,438,045,144,000 would take you about two million, four hundred nineteen thousand, five hundred eighty-nine 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 30438045144000 cubic inches would be around 2601.9 feet tall.
Recreational maths with 30438045144000
- 30438045144000 backwards is 00044154083403
- 30438045144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 30438045144000's digits is 36
- More coming soon!
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"Number 30438045144000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 30438045144000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/30438045144000/
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The information we have on file for 30438045144000 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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