34989811148000
34,989,811,148,000 is an even composite number composed of seven prime numbers multiplied together.
34989811148000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34989811148000:
25 × 53 × 29 × 41 × 53 × 127 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 41 × 53 × 127 × 1093)See below for interesting mathematical facts about the number 34989811148000 from the Numbermatics database.
Names of 34989811148000
- Cardinal: 34989811148000 can be written as Thirty-four trillion, nine hundred eighty-nine billion, eight hundred eleven million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.4989811148 × 1013
Factors of 34989811148000
Divisors of 34989811148000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 41 50 53 58 80 82 100 106 116 125 127 145 160 164 200 205 212 232 250 254 265 290 328 400 410 424 464 500 508 530 580 635 656 725 800 820 848 928 1000 1016 1025 1060 1093 1160 1189 1270 1312 1325 1450 1537 1640 1696 2000 2032 2050 2120 2173 2186 2320 2378 2540 2650 2900 3074 3175 3280 3625 3683 4000 4064 4100 4240 4346 4372 4640 4756 5080 5125 5207 5300 5465 5800 5945 6148 6350 6560 6625 6731 7250 7366 7685 8200 8480 8692 8744 9512 10160 10250 10414 10600 10865 10930 11600 11890 12296 12700 13250 13462 14500 14732 15370 15875 16400 17384 17488 18415 19024 20320 20500 20828 21200 21730 21860 23200 23780 24592 25400 26035 26500 26924 27325 29000 29464 29725 30740 31697 31750 32800 33655 34768 34976 36830 38048 38425 41000 41656 42400 43460 43720 44813 47560 49184 50800 52070 53000 53848 54325 54650 57929 58000 58928 59450 61480 63017 63394 63500 67310 69536 73660 76850 82000 83312 86920 87440 89626 92075 95120 101600 104140 106000 107696 108650 109300 115858 116000 117856 118900 122960 126034 126788 127000 130175 134620 136625 138811 147320 148625 151003 153700 158485 164000 166624 168275 173840 174880 179252 184150 190240 192125 195199 208280 212000 215392 217300 218600 224065 231716 237800 245920 252068 253576 254000 260350 269240 271625 273250 275971 277622 289645 294640 297250 302006 307400 315085 316970 336550 347680 358504 368300 384250 390398 416560 434600 437200 448130 460375 463432 475600 504136 507152 508000 520700 538480 543250 546500 551942 555244 579290 589280 594500 604012 614800 630170 633940 650875 673100 694055 717008 736600 755015 768500 780796 792425 833120 841375 869200 874400 896260 920750 926864 951200 975995 1008272 1014304 1041400 1076960 1086500 1093000 1103884 1110488 1120325 1158580 1189000 1208024 1229600 1260340 1267880 1299577 1301750 1346200 1379855 1388110 1434016 1448225 1473200 1510030 1537000 1561592 1575425 1584850 1679941 1682750 1738400 1792520 1841500 1853728 1951990 2016544 2082800 2173000 2186000 2207768 2220976 2240650 2317160 2375089 2378000 2416048 2520680 2535760 2599154 2603500 2692400 2759710 2776220 2896450 2946400 3020060 3074000 3123184 3150850 3169700 3359882 3365500 3470275 3585040 3683000 3775075 3903980 3962125 4025519 4165600 4346000 4372000 4415536 4441952 4481300 4634320 4750178 4756000 4832096 4879975 5041360 5071520 5198308 5207000 5384800 5519420 5552440 5601625 5691251 5792900 6040120 6148000 6246368 6301700 6339400 6497885 6719764 6731000 6899275 6940550 7170080 7241125 7356983 7366000 7550150 7807960 7877125 7924250 8003159 8051038 8399705 8692000 8831072 8962600 9268640 9500356 9759950 10082720 10396616 10414000 11038840 11104880 11203250 11382502 11585800 11875445 12080240 12603400 12678800 12995770 13439528 13462000 13798550 13881100 14482250 14713966 14732000 15100300 15615920 15754250 15848500 16006318 16102076 16799410 17351375 17925200 18875375 19000712 19519900 20127595 20793232 20828000 22077680 22209760 22406500 22765004 23171600 23750890 24160480 24399875 25206800 25357600 25991540 26879056 26924000 27597100 27762200 28456255 28964500 29427932 30200600 31231840 31508500 31697000 32012636 32204152 32489425 33598820 34496375 34702750 35850400 36784915 37750750 38001424 39039800 40015795 40255190 41586464 41998525 44155360 44813000 45530008 46343200 47501780 48799750 50413600 51983080 53758112 55194200 55524400 56912510 57929000 58855864 59377225 60401200 63017000 63394000 64025272 64408304 64978850 67197640 68877581 68992750 69405500 73569830 75501500 76002848 78079600 80031590 80510380 83997050 89626000 91060016 95003560 97599500 100637975 103966160 110388400 111048800 113825020 115858000 117711728 118754450 120802400 126034000 126788000 128050544 128816608 129957700 134395280 137755162 137985500 138811000 142281275 147139660 151003000 156159200 160063180 161020760 162447125 165046279 167994100 179252000 182120032 183924575 190007120 195199000 200078975 201275950 207932320 209992625 213352507 220776800 227650040 231716000 235423456 237508900 252068000 256101088 259915400 268790560 275510324 275971000 277622000 284562550 294279320 296886125 301636303 302006000 320126360 322041520 324894250 330092558 335988200 344387905 367849150 380014240 390398000 400157950 402551900 419985250 426705014 455300080 475017800 503189875 519830800 551020648 551942000 555244000 569125100 588558640 593772250 603272606 604012000 640252720 644083040 649788500 660185116 671976400 688775810 711406375 735698300 780796000 800315900 805103800 825231395 839970500 853410028 910600160 919622875 950035600 1000394875 1006379750 1039661600 1066762535 1102041296 1103884000 1138250200 1177117280 1187544500 1206545212 1280505440 1299577000 1320370232 1343952800 1377551620 1422812750 1471396600 1508181515 1600631800 1610207600 1650462790 1679941000 1706820056 1721939525 1839245750 1900071200 2000789750 2012759500 2133525070 2204082592 2276500400 2375089000 2413090424 2599154000 2640740464 2755103240 2845625500 2942793200 3016363030 3201263600 3220415200 3300925580 3359882000 3413640112 3443879050 3678491500 4001579500 4025519000 4126156975 4267050140 4553000800 4750178000 4826180848 5198308000 5281480928 5333812675 5510206480 5691251000 5885586400 6032726060 6402527200 6601851160 6719764000 6827280224 6887758100 7356983000 7540907575 8003159000 8051038000 8252313950 8534100280 8609697625 8747452787 9500356000 9652361696 10667625350 11020412960 11382502000 12065452120 13203702320 13775516200 14713966000 15081815150 16006318000 16102076000 16504627900 17068200560 17219395250 17494905574 20630784875 21335250700 22765004000 24130904240 26407404640 26669063375 27551032400 29427932000 30163630300 32012636000 33009255800 34136401120 34438790500 34989811148 37704537875 41261569750 42670501400 43737263935 48261808480 53338126750 55102064800 60327260600 66018511600 68877581000 69979622296 75409075750 82523139500 85341002800 87474527870 106676253500 120654521200 132037023200 137755162000 139959244592 150818151500 165046279000 170682005600 174949055740 213352507000 218686319675 241309042400 275510324000 279918489184 301636303000 330092558000 349898111480 426705014000 437372639350 603272606000 660185116000 699796222960 853410028000 874745278700 1093431598375 1206545212000 1399592445920 1749490557400 2186863196750 3498981114800 4373726393500 6997962229600 8747452787000 17494905574000 34989811148000
- Sum of all divisors σ(n): 93638995107840
- Sum of proper divisors (its aliquot sum) s(n): 58649183959840
- 34989811148000 is an abundant number, because the sum of its proper divisors (58649183959840) is greater than itself. Its abundance is 23659372811840
Bases of 34989811148000
- Binary: 1111111010010101100110100001110100100111000002
- Hexadecimal: 0x1FD2B343A4E0
- Base-36: CEI3I5AZK
Squares and roots of 34989811148000
- 34989811148000 squared (349898111480002) is 1224286884172705077904000000
- 34989811148000 cubed (349898111480003) is 42837566868176300892161587673792000000000
-
The
square root of 34989811148000 is 5915218.6052588115 -
The
cube root of 34989811148000 is 32707.4886594935
Scales and comparisons
How big is 34989811148000?- 34,989,811,148,000 seconds is equal to 1,112,567 years, 39 weeks, 5 days, 1 hour, 33 minutes, 20 seconds.
-
To count from 1 to 34,989,811,148,000 would take you about two million, seven hundred eighty-one thousand, four hundred nineteen 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 34989811148000 cubic inches would be around 2725.6 feet tall.
Recreational maths with 34989811148000
- 34989811148000 backwards is 00084111898943
- The number of decimal digits it has is: 14
- The sum of 34989811148000's digits is 56
- More coming soon!
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