12947966438990400
12,947,966,438,990,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12947966438990400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2520 divisors.
12947966438990400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 12947966438990400:
26 × 34 × 52 × 19 × 23 × 3492 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 23 × 349 × 349 × 1877)See below for interesting mathematical facts about the number 12947966438990400 from the Numbermatics database.
Names of 12947966438990400
- Cardinal: 12947966438990400 can be written as Twelve quadrillion, nine hundred forty-seven trillion, nine hundred sixty-six billion, four hundred thirty-eight million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.29479664389904 × 1016
Factors of 12947966438990400
Divisors of 12947966438990400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 32 36 38 40 45 46 48 50 54 57 60 64 69 72 75 76 80 81 90 92 95 96 100 108 114 115 120 135 138 144 150 152 160 162 171 180 184 190 192 200 207 216 225 228 230 240 270 276 285 288 300 304 320 324 342 345 349 360 368 380 400 405 414 432 437 450 456 460 475 480 513 540 552 570 575 576 600 608 621 648 675 684 690 698 720 736 760 800 810 828 855 864 874 900 912 920 950 960 1026 1035 1047 1080 1104 1140 1150 1200 1216 1242 1296 1311 1350 1368 1380 1396 1425 1440 1472 1520 1539 1600 1620 1656 1710 1725 1728 1745 1748 1800 1824 1840 1863 1877 1900 2025 2052 2070 2094 2160 2185 2208 2280 2300 2400 2484 2565 2592 2622 2700 2736 2760 2792 2850 2880 3040 3078 3105 3141 3240 3312 3420 3450 3490 3496 3600 3648 3680 3726 3754 3800 3933 4050 4104 4140 4188 4275 4320 4370 4416 4560 4600 4800 4968 5130 5175 5184 5235 5244 5400 5472 5520 5584 5631 5700 6080 6156 6210 6282 6480 6555 6624 6631 6840 6900 6980 6992 7200 7360 7452 7508 7600 7695 7866 8027 8100 8208 8280 8376 8550 8640 8725 8740 9120 9200 9315 9385 9423 9936 10260 10350 10470 10488 10800 10925 10944 11040 11168 11262 11400 11799 12312 12420 12564 12825 12960 13110 13248 13262 13680 13800 13960 13984 14400 14904 15016 15200 15390 15525 15705 15732 16054 16200 16416 16560 16752 16893 17100 17450 17480 18240 18400 18630 18770 18846 19665 19872 19893 20520 20700 20940 20976 21600 21850 22080 22336 22524 22800 23598 24081 24624 24840 25128 25650 25920 26175 26220 26524 27360 27600 27920 27968 28155 28269 29808 30032 30400 30780 31050 31410 31464 32108 32400 32775 32832 33120 33155 33504 33786 34200 34900 34960 35397 35663 36800 37260 37540 37692 38475 39330 39744 39786 40135 41040 41400 41880 41952 43171 43200 43700 45048 45600 46575 46925 47115 47196 48162 49248 49680 50256 50679 51300 52350 52440 53048 54720 55200 55840 56310 56538 58995 59616 59679 60064 61560 62100 62820 62928 64216 64800 65550 66240 66310 67008 67572 68400 69800 69920 70794 71326 72243 74520 75080 75384 76950 78525 78660 79572 80270 82080 82800 83760 83904 84465 86342 87400 90096 91200 93150 93850 94230 94392 96324 98325 98496 99360 99465 100512 101358 102600 104700 104880 106096 106989 110400 111680 112620 113076 117990 119232 119358 120128 120405 121801 123120 124200 125640 125856 128432 129513 129600 131100 132620 135144 136800 139600 139840 140775 141345 141588 142652 144486 149040 150160 150768 152037 152513 153900 157050 157320 159144 160540 164160 165600 165775 167520 168930 172684 174800 176985 178315 179037 180192 186300 187700 188460 188784 192648 196650 198720 198930 200675 201024 202716 205200 209400 209760 212192 213978 215855 216729 225240 226152 235575 235980 238716 240810 243602 246240 248400 251280 251712 253395 256864 259026 262200 265240 270288 273600 279200 281550 282690 283176 285304 288972 294975 298080 298395 300320 301536 304074 305026 307800 314100 314640 318288 320967 321080 331200 331550 335040 337860 345368 349600 353970 356630 358074 360384 361215 365403 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799257187592 806525877600 823033717200 824448674880 834007500096 841323355360 851839897302 862277999400 868757812600 899164336041 925912931850 927504759240 938258437608 946488774780 976320799200 977352539175 987640460640 999071484490 1009588026432 1030560843600 1042509375120 1051654194200 1097378289600 1135786529736 1149703999200 1159380949050 1172823047010 1183110968475 1185168552768 1198885781388 1234550575800 1236673012320 1251011250144 1261985033040 1303136718900 1374081124800 1379644799040 1390012500160 1407387656412 1419733162170 1481460690960 1484007614784 1498607226735 1514382039648 1545841265400 1563764062680 1577481291300 1598514375184 1613051755200 1646067434400 1682646710720 1703679794604 1724555998800 1737515625200 1759234570515 1798328672082 1851825863700 1855009518480 1876516875216 1892977549560 1952641598400 1954705078350 1975280921280 1998142968980 2061121687200 2085018750240 2103308388400 2129599743255 2271573059472 2299407998400 2318761898100 2345646094020 2366221936950 2397771562776 2469101151600 2473346024640 2497678711225 2502022500288 2523970066080 2606273437800 2697493008123 2814775312824 2839466324340 2932057617525 2962921381920 2997214453470 3028764079296 3091682530800 3127528125360 3154962582600 3197028750368 3292134868800 3407359589208 3449111997600 3475031250400 3518469141030 3549332905425 3596657344164 3703651727400 3710019036960 3753033750432 3785955099120 3909410156700 3996285937960 4122243374400 4170037500480 4206616776800 4259199486510 4495821680205 4543146118944 4637523796200 4691292188040 4732443873900 4795543125552 4938202303200 4995357422450 5047940132160 5212546875600 5394986016246 5629550625648 5678932648680 5864115235050 5925842763840 5994428906940 6183365061600 6255056250720 6309925165200 6394057500736 6814719178416 6898223995200 6950062500800 7036938282060 7098665810850 7193314688328 7407303454800 7420038073920 7493036133675 7506067500864 7571910198240 7818820313400 7992571875920 8092479024369 8413233553600 8518398973020 8796172852575 8991643360410 9086292237888 9275047592400 9382584376080 9464887747800 9591086251104 9876404606400 9990714844900 10425093751200 10647998716275 10789972032492 11259101251296 11357865297360 11728230470100 11988857813880 12366730123200 12510112501440 12619850330400 13487465040615 13629438356832 14073876564120 14197331621700 14386629376656 14814606909600 14986072267350 15143820396480 15637640626800 15985143751840 16184958048738 17036797946040 17592345705150 17983286720820 18550095184800 18765168752160 18929775495600 19182172502208 19981429689800 20850187502400 21295997432550 21579944064984 22479108401025 22518202502592 22715730594720 23456460940200 23977715627760 25239700660800 26974930081230 27258876713664 28147753128240 28394663243400 28773258753312 29629213819200 29972144534700 31275281253600 31970287503680 32369916097476 34073595892080 35184691410300 35966573441640 37100190369600 37530337504320 37859550991200 39962859379600 40462395121845 42591994865100 43159888129968 44958216802050 45431461189440 46912921880400 47955431255520 53949860162460 56295506256480 56789326486800 57546517506624 59944289069400 62550562507200 64739832194952 67437325203075 68147191784160 70369382820600 71933146883280 75719101982400 79925718759200 80924790243690 85183989730200 86319776259936 89916433604100 93825843760800 95910862511040 107899720324920 112591012512960 113578652973600 119888578138800 129479664389904 134874650406150 136294383568320 140738765641200 143866293766560 159851437518400 161849580487380 170367979460400 172639552519872 179832867208200 187651687521600 202311975609225 215799440649840 227157305947200 239777156277600 258959328779808 269749300812300 281477531282400 287732587533120 323699160974760 340735958920800 359665734416400 404623951218450 431598881299680 479554312555200 517918657559616 539498601624600 562955062564800 647398321949520 681471917841600 719331468832800 809247902436900 863197762599360 1078997203249200 1294796643899040 1438662937665600 1618495804873800 2157994406498400 2589593287798080 3236991609747600 4315988812996800 6473983219495200 12947966438990400
- Sum of all divisors σ(n): 52454727729074880
- Sum of proper divisors (its aliquot sum) s(n): 39506761290084480
- 12947966438990400 is an abundant number, because the sum of its proper divisors (39506761290084480) is greater than itself. Its abundance is 26558794851094080
Bases of 12947966438990400
- Binary: 1011100000000000011011010111000010100011100010010000002
- Hexadecimal: 0x2E001B5C28E240
- Base-36: 3JHO5NZ6S00
Squares and roots of 12947966438990400
- 12947966438990400 squared (129479664389904002) is 167649834905221739765371292160000
- 12947966438990400 cubed (129479664389904003) is 2170724435855092393920129096559996253835264000000
-
The
square root of 12947966438990400 is 113789131.4625012857 -
The
cube root of 12947966438990400 is 234819.3356509085
Scales and comparisons
How big is 12947966438990400?- 12,947,966,438,990,400 seconds is equal to 411,705,282 years, 3 weeks, 4 days, 12 hours.
-
To count from 1 to 12,947,966,438,990,400 would take you about one billion, two hundred thirty-five million, one hundred fifteen thousand, eight hundred forty-six 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 12947966438990400 cubic inches would be around 19568.3 feet tall.
Recreational maths with 12947966438990400
- 12947966438990400 backwards is 00409983466974921
- 12947966438990400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12947966438990400's digits is 81
- More coming soon!
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"Number 12947966438990400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 12947966438990400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/12947966438990400/
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The information we have on file for 12947966438990400 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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