30804834896307200
30,804,834,896,307,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 30804834896307200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 594 divisors.
30804834896307200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred ninety-four divisors.
Prime factorization of 30804834896307200:
210 × 52 × 372 × 113 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 37 × 37 × 113 × 2789 × 2789)See below for interesting mathematical facts about the number 30804834896307200 from the Numbermatics database.
Names of 30804834896307200
- Cardinal: 30804834896307200 can be written as Thirty quadrillion, eight hundred four trillion, eight hundred thirty-four billion, eight hundred ninety-six million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 3.08048348963072 × 1016
Factors of 30804834896307200
Divisors of 30804834896307200
- Number of divisors d(n): 594
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 113 128 148 160 185 200 226 256 296 320 370 400 452 512 565 592 640 740 800 904 925 1024 1130 1184 1280 1369 1480 1600 1808 1850 2260 2368 2560 2738 2789 2825 2960 3200 3616 3700 4181 4520 4736 5120 5476 5578 5650 5920 6400 6845 7232 7400 8362 9040 9472 10952 11156 11300 11840 12800 13690 13945 14464 14800 16724 18080 18944 20905 21904 22312 22600 23680 25600 27380 27890 28928 29600 33448 34225 36160 37888 41810 43808 44624 45200 47360 54760 55780 57856 59200 66896 68450 69725 72320 83620 87616 89248 90400 94720 103193 104525 109520 111560 115712 118400 133792 136900 139450 144640 154697 167240 175232 178496 180800 189440 206386 209050 219040 223120 236800 267584 273800 278900 289280 309394 315157 334480 350464 356992 361600 412772 418100 438080 446240 473600 515965 535168 547600 557800 578560 618788 630314 668960 700928 713984 723200 773485 825544 836200 876160 892480 947200 1031930 1070336 1095200 1115600 1237576 1260628 1337920 1401856 1427968 1446400 1546970 1575785 1651088 1672400 1752320 1784960 2063860 2140672 2190400 2231200 2475152 2521256 2579825 2675840 2855936 2892800 3093940 3151570 3302176 3344800 3504640 3569920 3818141 3867425 4127720 4281344 4380800 4462400 4950304 5042512 5159650 5351680 6187880 6303140 6604352 6689600 7009280 7139840 7636282 7734850 7778521 7878925 8255440 8761600 8924800 9900608 10085024 10319300 10703360 11660809 12375760 12606280 13208704 13379200 14279680 15272564 15469700 15557042 15757850 16510880 17523200 17849600 19090705 19801216 20170048 20638600 21406720 23321618 24751520 25212560 26417408 26758400 30545128 30939400 31114084 31515700 33021760 35046400 35699200 38181410 38892605 39602432 40340096 41277200 46643236 49503040 50425120 52834816 53516800 58304045 61090256 61878800 62228168 63031400 66043520 71398400 76362820 77785210 79204864 80680192 82554400 93286472 95453525 99006080 100850240 105669632 107033600 116608090 122180512 123757600 124456336 126062800 132087040 152725640 155570420 158409728 161360384 165108800 186572944 190907050 194463025 198012160 201700480 233216180 244361024 247515200 248912672 252125600 264174080 287805277 291520225 305451280 311140840 322720768 330217600 373145888 381814100 388926050 396024320 403400960 431449933 466432360 488722048 495030400 497825344 504251200 528348160 575610554 583040450 610902560 622281680 660435200 746291776 763628200 777852100 792048640 806801920 862899866 878972873 932864720 977444096 990060800 995650688 1008502400 1151221108 1166080900 1221805120 1244563360 1320870400 1439026385 1492583552 1527256400 1555704200 1613603840 1725799732 1757945746 1865729440 1954888192 1980121600 1991301376 2017004800 2157249665 2302442216 2332161800 2443610240 2489126720 2641740800 2878052770 2985167104 3054512800 3111408400 3451599464 3515891492 3731458880 3909776384 3960243200 3982602752 4034009600 4314499330 4394864365 4604884432 4664323600 4887220480 4978253440 5756105540 5970334208 6109025600 6222816800 6903198928 7031782984 7195131925 7462917760 7965205504 8068019200 8628998660 8789728730 9209768864 9328647200 9774440960 9956506880 10648795249 10786248325 11512211080 11940668416 12218051200 12445633600 13806397856 14063565968 14390263850 14925835520 17257997320 17579457460 18419537728 18657294400 19548881920 19913013760 21297590498 21572496650 21974321825 23024422160 24436102400 24891267200 27612795712 28127131936 28780527700 29851671040 32521996301 34515994640 35158914920 36839075456 37314588800 39826027520 42595180996 43144993300 43948643650 46048844320 48872204800 49782534400 53243976245 55225591424 56254263872 57561055400 59703342080 65043992602 69031989280 70317829840 73678150912 74629177600 85190361992 86289986600 87897287300 92097688640 97744409600 99565068800 106487952490 110451182848 112508527744 115122110800 130087985204 138063978560 140635659680 147356301824 149258355200 162609981505 170380723984 172579973200 175794574600 184195377280 199130137600 212975904980 220902365696 225017055488 230244221600 260175970408 266219881225 276127957120 281271319360 294712603648 298516710400 325219963010 340761447968 345159946400 351589149200 368390754560 425951809960 441804731392 450034110976 460488443200 520351940816 532439762450 552255914240 562542638720 650439926020 681522895936 690319892800 703178298400 736781509120 813049907525 851903619920 900068221952 920976886400 1040703881632 1064879524900 1104511828480 1125085277440 1203313863137 1300879852040 1363045791872 1380639785600 1406356596800 1473563018240 1626099815050 1703807239840 1841953772800 2081407763264 2129759049800 2209023656960 2250170554880 2406627726274 2601759704080 2726091583744 2761279571200 2812713193600 3252199630100 3407614479680 3683907545600 4162815526528 4259518099600 4500341109760 4813255452548 5203519408160 5452183167488 5522559142400 5625426387200 6016569315685 6504399260200 6815228959360 7367815091200 8325631053056 8519036199200 9626510905096 10407038816320 10904366334976 11045118284800 11250852774400 12033138631370 13008798520400 13630457918720 16651262106112 17038072398400 19253021810192 20814077632640 22501705548800 24066277262740 26017597040800 27260915837440 30082846578425 33302524212224 34076144796800 38506043620384 41628155265280 48132554525480 52035194081600 54521831674880 60165693156850 68152289593600 77012087240768 83256310530560 96265109050960 104070388163200 120331386313700 136304579187200 154024174481536 166512621061120 192530218101920 208140776326400 240662772627400 272609158374400 308048348963072 385060436203840 416281552652800 481325545254800 616096697926144 770120872407680 832563105305600 962651090509600 1232193395852288 1540241744815360 1925302181019200 3080483489630720 3850604362038400 6160966979261440 7701208724076800 15402417448153600 30804834896307200
- Sum of all divisors σ(n): 79201108243866546
- Sum of proper divisors (its aliquot sum) s(n): 48396273347559346
- 30804834896307200 is an abundant number, because the sum of its proper divisors (48396273347559346) is greater than itself. Its abundance is 17591438451252146
Bases of 30804834896307200
- Binary: 11011010111000011010101100010010101101111100100000000002
- Hexadecimal: 0x6D70D5895BE400
- Base-36: 8FBEHSBZS3K
Squares and roots of 30804834896307200
- 30804834896307200 squared (308048348963072002) is 948937852988745821376196771840000
- 30804834896307200 cubed (308048348963072003) is 29231873888174548882041791777266149776949248000000
-
The
square root of 30804834896307200 is 175513061.8965642683 -
The
cube root of 30804834896307200 is 313477.4426638953
Scales and comparisons
How big is 30804834896307200?- 30,804,834,896,307,200 seconds is equal to 979,498,464 years, 4 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 30,804,834,896,307,200 would take you about two billion, nine hundred thirty-eight million, four hundred ninety-five thousand, three hundred ninety-two 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 30804834896307200 cubic inches would be around 26123.1 feet tall.
Recreational maths with 30804834896307200
- 30804834896307200 backwards is 00270369843840803
- The number of decimal digits it has is: 17
- The sum of 30804834896307200's digits is 65
- More coming soon!
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