30738223104000
30,738,223,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 30738223104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
30738223104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 30738223104000:
215 × 3 × 53 × 19 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 30738223104000 from the Numbermatics database.
Names of 30738223104000
- Cardinal: 30738223104000 can be written as Thirty trillion, seven hundred thirty-eight billion, two hundred twenty-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 3.0738223104 × 1013
Factors of 30738223104000
Divisors of 30738223104000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 48 50 57 60 62 64 75 76 80 93 95 96 100 114 120 124 125 128 137 150 152 155 160 186 190 192 200 228 240 248 250 256 274 285 300 304 310 320 372 375 380 384 400 411 456 465 475 480 496 500 512 548 570 589 600 608 620 640 685 744 750 760 768 775 800 822 912 930 950 960 961 992 1000 1024 1096 1140 1178 1200 1216 1240 1280 1370 1425 1488 1500 1520 1536 1550 1600 1644 1767 1824 1860 1900 1920 1922 1984 2000 2048 2055 2192 2280 2325 2356 2375 2400 2432 2480 2560 2603 2740 2850 2883 2945 2976 3000 3040 3072 3100 3200 3288 3425 3534 3648 3720 3800 3840 3844 3875 3968 4000 4096 4110 4247 4384 4560 4650 4712 4750 4800 4805 4864 4960 5120 5206 5480 5700 5766 5890 5952 6000 6080 6144 6200 6400 6576 6850 7068 7125 7296 7440 7600 7680 7688 7750 7809 7936 8000 8192 8220 8494 8768 8835 9120 9300 9424 9500 9600 9610 9728 9920 10240 10275 10412 10960 11400 11532 11625 11780 11904 12000 12160 12288 12400 12741 12800 13015 13152 13700 14136 14250 14415 14592 14725 14880 15200 15360 15376 15500 15618 15872 16000 16384 16440 16988 17125 17536 17670 18240 18259 18600 18848 19000 19200 19220 19456 19840 20480 20550 20824 21235 21920 22800 23064 23250 23560 23808 24000 24025 24320 24576 24800 25482 25600 26030 26304 27400 28272 28500 28830 29184 29450 29760 30400 30720 30752 31000 31236 31744 32000 32768 32880 33976 34250 35072 35340 36480 36518 37200 37696 38000 38400 38440 38912 39045 39680 40960 41100 41648 42470 43840 44175 45600 46128 46500 47120 47616 48000 48050 48640 49152 49600 50964 51200 51375 52060 52608 54777 54800 56544 57000 57660 58368 58900 59520 60800 61440 61504 62000 62472 63488 63705 64000 65075 65760 67952 68500 70144 70680 72075 72960 73036 73625 74400 75392 76000 76800 76880 77824 78090 79360 80693 81920 82200 83296 84940 87680 88350 91200 91295 92256 93000 94240 95232 96000 96100 97280 98304 99200 101928 102400 102750 104120 105216 106175 109554 109600 113088 114000 115320 116736 117800 119040 120125 121600 122880 123008 124000 124944 126976 127410 128000 130150 131520 131657 135904 137000 140288 141360 144150 145920 146072 147250 148800 150784 152000 153600 153760 155648 156180 158720 161386 163840 164400 166592 169880 175360 176700 182400 182590 184512 186000 188480 190464 192000 192200 194560 195225 198400 203856 204800 205500 208240 210432 212350 219108 219200 220875 226176 228000 230640 233472 235600 238080 240250 242079 243200 245760 246016 248000 249888 253952 254820 256000 260300 263040 263314 271808 273885 274000 280576 282720 288300 291840 292144 294500 297600 301568 304000 307200 307520 311296 312360 317440 318525 322772 325375 328800 333184 339760 350720 353400 360375 364800 365180 369024 372000 376960 380928 384000 384400 389120 390450 394971 396800 403465 407712 409600 411000 416480 420864 424700 438216 438400 441750 452352 456000 456475 461280 466944 471200 476160 480500 484158 486400 491520 492032 496000 499776 507904 509640 512000 520600 526080 526628 530875 543616 547770 548000 561152 565440 576600 583680 584288 589000 595200 603136 608000 614400 615040 622592 624720 634880 637050 645544 650750 657600 658285 666368 679520 701440 706800 720750 729600 730360 738048 744000 753920 761856 768000 768800 778240 780900 789942 793600 806930 815424 819200 822000 832960 841728 849400 876432 876800 883500 904704 912000 912950 922560 933888 942400 952320 961000 968316 972800 976125 984064 992000 999552 1015808 1019280 1024000 1041200 1052160 1053256 1061750 1087232 1095540 1096000 1122304 1130880 1153200 1167360 1168576 1178000 1190400 1206272 1210395 1216000 1228800 1230080 1249440 1269760 1274100 1291088 1301500 1315200 1316570 1332736 1359040 1369425 1402880 1413600 1441500 1459200 1460720 1476096 1488000 1507840 1523712 1536000 1537600 1556480 1561800 1579884 1587200 1592625 1613860 1630848 1644000 1665920 1683456 1698800 1752864 1753600 1767000 1809408 1824000 1825900 1845120 1867776 1884800 1904640 1922000 1936632 1945600 1952250 1968128 1974855 1984000 1999104 2017325 2038560 2048000 2082400 2104320 2106512 2123500 2174464 2191080 2192000 2244608 2261760 2282375 2306400 2334720 2337152 2356000 2380800 2412544 2420790 2432000 2457600 2460160 2498880 2501483 2539520 2548200 2582176 2603000 2630400 2633140 2665472 2718080 2738850 2805760 2827200 2883000 2918400 2921440 2952192 2976000 3015680 3047424 3072000 3075200 3112960 3123600 3159768 3174400 3185250 3227720 3261696 3288000 3291425 3331840 3366912 3397600 3505728 3507200 3534000 3618816 3648000 3651800 3690240 3769600 3809280 3844000 3873264 3891200 3904500 3936256 3949710 3968000 3998208 4034650 4077120 4096000 4164800 4208640 4213024 4247000 4348928 4382160 4384000 4489216 4523520 4564750 4612800 4669440 4674304 4712000 4761600 4825088 4841580 4864000 4920320 4997760 5002966 5079040 5096400 5164352 5206000 5260800 5266280 5330944 5436160 5477700 5611520 5654400 5766000 5836800 5842880 5904384 5952000 6031360 6051975 6144000 6150400 6247200 6319536 6348800 6370500 6455440 6523392 6576000 6582850 6663680 6733824 6795200 6847125 7011456 7014400 7068000 7237632 7296000 7303600 7380480 7504449 7539200 7618560 7688000 7746528 7782400 7809000 7872512 7899420 7936000 7996416 8069300 8154240 8329600 8417280 8426048 8494000 8697856 8764320 8768000 9047040 9129500 9225600 9338880 9348608 9424000 9523200 9650176 9683160 9728000 9840640 9874275 9995520 10005932 10086625 10192800 10328704 10412000 10521600 10532560 10661888 10872320 10955400 11223040 11308800 11532000 11673600 11685760 11808768 11904000 12062720 12103950 12288000 12300800 12494400 12507415 12639072 12697600 12741000 12910880 13046784 13152000 13165700 13327360 13467648 13590400 13694250 14022912 14028800 14136000 14475264 14592000 14607200 14760960 15008898 15078400 15237120 15376000 15493056 15564800 15618000 15745024 15798840 15872000 15992832 16138600 16308480 16457125 16659200 16834560 16852096 16988000 17395712 17528640 17536000 18094080 18259000 18451200 18697216 18848000 19046400 19300352 19366320 19456000 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59043840 60035592 60313600 60519750 61504000 61972224 62472000 62537075 63195360 63488000 63971328 64554400 65233920 65828500 66636800 67338240 67408384 67952000 69582848 70114560 70144000 72376320 73036000 73804800 74788864 75044490 75392000 76185600 77465280 77824000 78725120 78994200 79964160 80047456 80693000 81542400 82629632 83296000 84172800 84260480 85295104 86978560 87643200 90470400 92256000 93486080 94470144 95232000 96501760 96831600 98406400 98742750 99955200 100059320 101112576 101928000 103287040 104374272 105216000 105325600 106618880 108723200 109554000 112183296 112230400 113088000 116736000 116857600 118087680 120071184 120627200 121039500 123008000 123944448 124944000 125074150 126390720 126976000 127942656 129108800 130467840 131657000 133273600 134816768 135904000 139165696 140229120 140288000 144752640 146072000 147609600 149577728 150088980 150784000 154930560 157450240 157988400 159928320 160094912 161386000 163084800 165259264 166592000 168345600 168520960 173957120 175286400 180940800 184512000 186972160 187611225 190464000 193663200 196812800 197485500 199910400 200118640 202225152 203856000 206574080 208748544 210432000 210651200 213237760 217446400 219108000 224366592 226176000 233472000 233715200 236175360 240142368 241254400 242079000 246016000 247888896 249888000 250148300 252781440 255885312 258217600 260935680 263314000 266547200 269633536 271808000 280458240 280576000 289505280 292144000 295219200 299155456 300177960 301568000 309861120 312685375 315976800 319856640 320189824 322772000 326169600 330518528 333184000 336691200 337041920 347914240 350572800 361881600 369024000 373944320 375222450 380928000 387326400 393625600 394971000 399820800 400237280 404450304 407712000 413148160 417497088 420864000 421302400 426475520 434892800 438216000 448733184 452352000 467430400 472350720 480284736 482508800 484158000 492032000 495777792 499776000 500296600 505562880 516435200 521871360 526628000 533094400 539267072 543616000 560916480 561152000 584288000 590438400 598310912 600355920 603136000 619722240 625370750 631953600 639713280 640379648 645544000 652339200 661037056 666368000 674083840 695828480 701145600 723763200 738048000 747888640 750444900 774652800 787251200 789942000 799641600 800474560 808900608 815424000 826296320 841728000 842604800 869785600 876432000 897466368 904704000 934860800 938056125 960569472 968316000 984064000 991555584 999552000 1000593200 1011125760 1032870400 1043742720 1053256000 1066188800 1078534144 1087232000 1121832960 1168576000 1180876800 1200711840 1206272000 1239444480 1250741500 1263907200 1279426560 1280759296 1291088000 1304678400 1322074112 1332736000 1348167680 1402291200 1447526400 1476096000 1495777280 1500889800 1549305600 1579884000 1599283200 1600949120 1617801216 1630848000 1652592640 1683456000 1685209600 1739571200 1752864000 1794932736 1809408000 1869721600 1876112250 1921138944 1936632000 1968128000 1983111168 1999104000 2001186400 2022251520 2065740800 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10437427200 10661888000 10785341440 11218329600 11808768000 12007118400 12394444800 12639072000 12807592960 12942409728 13046784000 13220741120 13481676800 14022912000 14957772800 15008898000 15369111552 15493056000 15992832000 16009491200 16178012160 16525926400 16852096000 17395712000 18697216000 19211389440 19831111680 20011864000 20222515200 20492148736 20657408000 21570682880 22436659200 24014236800 24788889600 25278144000 25615185920 26093568000 26963353600 28045824000 30017796000 30738223104 30986112000 31985664000 32018982400 32356024320 33051852800 33704192000 37394432000 38422778880 39662223360 40023728000 40445030400 40984297472 41314816000 44873318400 48028473600 49577779200 50556288000 51230371840 52187136000 53926707200 56091648000 60035592000 61476446208 61972224000 64037964800 64712048640 66103705600 67408384000 74788864000 76845557760 80047456000 80890060800 81968594944 82629632000 96056947200 99155558400 101112576000 102460743680 107853414400 112183296000 120071184000 122952892416 123944448000 128075929600 134816768000 153691115520 160094912000 161780121600 165259264000 192113894400 198311116800 202225152000 204921487360 224366592000 240142368000 245905784832 247888896000 256151859200 269633536000 307382231040 320189824000 323560243200 330518528000 384227788800 404450304000 409842974720 480284736000 495777792000 512303718400 539267072000 614764462080 640379648000 768455577600 808900608000 960569472000 991555584000 1024607436800 1229528924160 1280759296000 1536911155200 1617801216000 1921138944000 2049214873600 2561518592000 3073822310400 3842277888000 5123037184000 6147644620800 7684555776000 10246074368000 15369111552000 30738223104000
- Sum of all divisors σ(n): 112076929411200
- Sum of proper divisors (its aliquot sum) s(n): 81338706307200
- 30738223104000 is an abundant number, because the sum of its proper divisors (81338706307200) is greater than itself. Its abundance is 50600483203200
Bases of 30738223104000
- Binary: 1101111110100110011001101111010000000000000002
- Hexadecimal: 0x1BF4CCDE8000
- Base-36: AW8Y0ECQO
Squares and roots of 30738223104000
- 30738223104000 squared (307382231040002) is 944838359591279394816000000
- 30738223104000 cubed (307382231040003) is 29042652294334124290652309028864000000000
-
The
square root of 30738223104000 is 5544206.2645612311 -
The
cube root of 30738223104000 is 31325.1327038577
Scales and comparisons
How big is 30738223104000?- 30,738,223,104,000 seconds is equal to 977,380 years, 21 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 30,738,223,104,000 would take you about two million, four hundred forty-three thousand, four hundred fifty-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 30738223104000 cubic inches would be around 2610.4 feet tall.
Recreational maths with 30738223104000
- 30738223104000 backwards is 00040132283703
- The number of decimal digits it has is: 14
- The sum of 30738223104000's digits is 33
- More coming soon!
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The information we have on file for 30738223104000 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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