34341248128000
34,341,248,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 34341248128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
34341248128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 34341248128000:
210 × 53 × 113 × 19 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 103 × 103)See below for interesting mathematical facts about the number 34341248128000 from the Numbermatics database.
Names of 34341248128000
- Cardinal: 34341248128000 can be written as Thirty-four trillion, three hundred forty-one billion, two hundred forty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.4341248128 × 1013
Factors of 34341248128000
Divisors of 34341248128000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 103 110 121 125 128 152 160 176 190 200 206 209 220 242 250 256 275 304 320 352 380 400 412 418 440 475 484 500 512 515 550 605 608 640 704 760 800 824 836 880 950 968 1000 1024 1030 1045 1100 1133 1210 1216 1280 1331 1375 1408 1520 1600 1648 1672 1760 1900 1936 1957 2000 2060 2090 2200 2266 2299 2375 2420 2432 2560 2575 2662 2750 2816 3025 3040 3200 3296 3344 3520 3800 3872 3914 4000 4120 4180 4400 4532 4598 4750 4840 4864 5120 5150 5225 5324 5500 5632 5665 6050 6080 6400 6592 6655 6688 7040 7600 7744 7828 8000 8240 8360 8800 9064 9196 9500 9680 9728 9785 10300 10450 10609 10648 11000 11264 11330 11495 12100 12160 12463 12800 12875 13184 13310 13376 14080 15125 15200 15488 15656 16000 16480 16720 17600 18128 18392 19000 19360 19456 19570 20600 20900 21218 21296 21527 22000 22660 22990 24200 24320 24926 25289 25600 25750 26125 26368 26620 26752 28160 28325 30250 30400 30976 31312 32000 32960 33275 33440 35200 36256 36784 38000 38720 39140 41200 41800 42436 42592 43054 44000 45320 45980 48400 48640 48925 49852 50578 51500 52250 52736 53045 53240 53504 56320 56650 57475 60500 60800 61952 62315 62624 64000 65920 66550 66880 70400 72512 73568 76000 77440 78280 82400 83600 84872 85184 86108 88000 90640 91960 96800 97280 97850 99704 101156 103000 104500 105472 106090 106480 107008 107635 113300 114950 116699 121000 121600 123904 124630 125248 126445 128000 131840 133100 133760 137093 140800 141625 145024 147136 152000 154880 156560 164800 166375 167200 169744 170368 172216 176000 181280 183920 193600 195700 199408 201571 202312 206000 209000 212180 212960 214016 215270 226600 229900 233398 236797 242000 243200 244625 249260 250496 252890 263680 265225 266200 267520 274186 281600 283250 287375 290048 294272 304000 309760 311575 313120 329600 332750 334400 339488 340736 344432 352000 362560 367840 387200 391400 398816 403142 404624 412000 418000 424360 425920 430540 453200 459800 466796 473594 484000 486400 489250 498520 500992 505780 527360 530450 532400 535040 538175 548372 566500 574750 580096 583495 588544 608000 619520 623150 626240 632225 659200 665500 668800 678976 681472 685465 688864 704000 725120 735680 774400 782800 797632 806284 809248 824000 836000 848720 851840 861080 906400 919600 933592 947188 968000 978500 997040 1001984 1007855 1011560 1060900 1064800 1070080 1076350 1096744 1133000 1149500 1160192 1166990 1177088 1183985 1216000 1246300 1252480 1264450 1283689 1318400 1326125 1331000 1337600 1357952 1362944 1370930 1377728 1408000 1450240 1471360 1548800 1557875 1565600 1595264 1612568 1618496 1648000 1672000 1697440 1703680 1722160 1812800 1839200 1867184 1894376 1936000 1957000 1994080 2003968 2015710 2023120 2121800 2129600 2152700 2193488 2217281 2266000 2299000 2333980 2354176 2367970 2432000 2492600 2504960 2528900 2567378 2604767 2636800 2652250 2662000 2675200 2690875 2715904 2741860 2755456 2900480 2917475 2942720 3097600 3115750 3131200 3161125 3190528 3225136 3236992 3296000 3344000 3394880 3407360 3427325 3444320 3625600 3678400 3734368 3788752 3872000 3914000 3988160 4031420 4046240 4243600 4259200 4305400 4386976 4434562 4532000 4598000 4667960 4735940 4985200 5009920 5039275 5057800 5134756 5209534 5304500 5324000 5350400 5381750 5431808 5483720 5510912 5800960 5834950 5885440 5919925 6231500 6262400 6322250 6381056 6418445 6450272 6473984 6592000 6688000 6789760 6814720 6854650 6888640 7251200 7356800 7468736 7577504 7744000 7828000 7976320 8062840 8092480 8487200 8518400 8610800 8773952 8869124 9064000 9196000 9335920 9471880 9970400 10019840 10078550 10115600 10269512 10419068 10609000 10648000 10763500 10863616 10967440 11021824 11086405 11669900 11770880 11839850 12463000 12524800 12644500 12762112 12836890 12900544 12947968 13023835 13184000 13376000 13579520 13709300 13777280 14120579 14502400 14587375 14713600 14937472 15155008 15488000 15656000 15952640 16125680 16184960 16974400 17036800 17136625 17221600 17547904 17738248 18128000 18392000 18671840 18943760 19940800 20157100 20231200 20539024 20838136 21218000 21296000 21527000 21934880 22043648 22172810 23339800 23679700 24390091 24926000 25049600 25196375 25289000 25673780 25801088 25895936 26047670 26752000 27159040 27418600 27554560 28241158 29004800 29174750 29427200 29599625 29874944 30310016 31312000 31905280 32092225 32251360 32369920 33948800 34073600 34273250 34443200 35095808 35476496 36256000 36784000 37343680 37887520 39881600 40314200 40462400 41078048 41676272 42436000 42592000 43054000 43869760 44345620 46679600 47359400 48780182 49852000 50099200 50392750 50578000 51347560 51602176 52095340 54318080 54837200 55109120 55432025 56482316 58349500 58854400 59199250 59749888 60620032 62624000 63810560 64184450 64502720 64739840 65119175 67897600 68546500 68886400 70191616 70602895 70952992 72512000 73568000 74687360 75775040 79763200 80628400 80924800 82156096 83352544 84872000 85184000 86108000 87739520 88691240 93359200 94718800 97560364 99704000 100785500 101156000 102695120 103204352 104190680 109674400 110218240 110864050 112964632 116699000 118398500 119499776 121240064 121950455 125248000 128368900 129005440 129479680 130238350 135795200 137093000 137772800 140383232 141205790 141905984 145024000 147136000 149374720 151550080 159526400 160461125 161256800 161849600 164312192 166705088 169744000 170368000 172216000 175479040 177382480 186718400 189437600 195120728 199408000 201571000 202312000 205390240 206408704 208381360 219348800 221728100 225929264 233398000 236797000 242480128 243900910 250496000 256737800 258010880 260476700 268291001 271590400 274186000 275545600 277160125 282411580 283811968 294272000 298749440 303100160 319052800 320922250 322513600 323699200 325595875 328624384 333410176 339488000 344432000 350958080 353014475 354764960 373436800 378875200 390241456 398816000 403142000 404624000 410780480 416762720 438697600 443456200 451858528 466796000 473594000 487801820 513475600 516021760 520953400 536582002 548372000 551091200 554320250 564823160 567623936 597498880 606200320 609752275 641844500 645027200 647398400 651191750 657248768 666820352 678976000 688864000 701916160 706028950 709529920 746873600 757750400 780482912 797632000 806284000 809248000 821560960 833525440 877395200 886912400 903717056 933592000 947188000 975603640 1026951200 1032043520 1041906800 1073164004 1096744000 1108640500 1129646320 1135247872 1212400640 1219504550 1283689000 1290054400 1302383500 1314497536 1333640704 1341455005 1357952000 1377728000 1412057900 1419059840 1493747200 1515500800 1560965824 1595264000 1612568000 1618496000 1643121920 1667050880 1754790400 1765072375 1773824800 1807434112 1867184000 1894376000 1951207280 2053902400 2083813600 2146328008 2193488000 2217281000 2259292640 2270495744 2439009100 2567378000 2580108800 2604767000 2667281408 2682910010 2755456000 2824115800 2838119680 2987494400 3031001600 3048761375 3121931648 3225136000 3236992000 3286243840 3334101760 3509580800 3530144750 3547649600 3614868224 3734368000 3788752000 3902414560 4107804800 4167627200 4292656016 4386976000 4434562000 4518585280 4878018200 5134756000 5160217600 5209534000 5365820020 5648231600 5676239360 6062003200 6097522750 6243863296 6450272000 6572487680 6668203520 6707275025 7060289500 7095299200 7229736448 7468736000 7577504000 7804829120 8215609600 8335254400 8585312032 8773952000 8869124000 9037170560 9756036400 10269512000 10419068000 10731640040 11296463200 11352478720 12195045500 12487726592 12900544000 13336407040 13414550050 14120579000 14190598400 14459472896 14937472000 15155008000 15609658240 16431219200 16670508800 17170624064 17547904000 17738248000 18074341120 19512072800 20539024000 20838136000 21463280080 22592926400 24390091000 24975453184 25801088000 26829100100 28241158000 28381196800 30310016000 31219316480 32862438400 33341017600 33536375125 34341248128 35476496000 36148682240 39024145600 41078048000 41676272000 42926560160 45185852800 48780182000 53658200200 56482316000 56762393600 62438632960 66682035200 67072750250 68682496256 70952992000 72297364480 78048291200 82156096000 83352544000 85853120320 90371705600 97560364000 107316400400 112964632000 124877265920 134145500500 137364992512 141905984000 156096582400 164312192000 166705088000 171706240640 180743411200 195120728000 214632800800 225929264000 268291001000 274729985024 283811968000 312193164800 333410176000 343412481280 361486822400 390241456000 429265601600 451858528000 536582002000 624386329600 686824962560 780482912000 858531203200 903717056000 1073164004000 1373649925120 1560965824000 1717062406400 1807434112000 2146328008000 3121931648000 3434124812800 4292656016000 6868249625600 8585312032000 17170624064000 34341248128000
- Sum of all divisors σ(n): 100166988804480
- Sum of proper divisors (its aliquot sum) s(n): 65825740676480
- 34341248128000 is an abundant number, because the sum of its proper divisors (65825740676480) is greater than itself. Its abundance is 31484492548480
Bases of 34341248128000
- Binary: 1111100111011101100011110010101010100000000002
- Hexadecimal: 0x1F3BB1E55400
- Base-36: C685GGXZ4
Squares and roots of 34341248128000
- 34341248128000 squared (343412481280002) is 1179321322988863504384000000
- 34341248128000 cubed (343412481280003) is 40499366175401792184774559793152000000000
-
The
square root of 34341248128000 is 5860140.6235686871 -
The
cube root of 34341248128000 is 32504.1408934429
Scales and comparisons
How big is 34341248128000?- 34,341,248,128,000 seconds is equal to 1,091,945 years, 24 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 34,341,248,128,000 would take you about two million, seven hundred twenty-nine thousand, eight hundred sixty-three 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 34341248128000 cubic inches would be around 2708.7 feet tall.
Recreational maths with 34341248128000
- 34341248128000 backwards is 00082184214343
- 34341248128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34341248128000's digits is 40
- More coming soon!
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The information we have on file for 34341248128000 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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