42090901248000
42,090,901,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42090901248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
42090901248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42090901248000:
211 × 3 × 53 × 112 × 19 × 31 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 19 × 31 × 769)See below for interesting mathematical facts about the number 42090901248000 from the Numbermatics database.
Names of 42090901248000
- Cardinal: 42090901248000 can be written as Forty-two trillion, ninety billion, nine hundred one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.2090901248 × 1013
Factors of 42090901248000
Divisors of 42090901248000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 60 62 64 66 75 76 80 88 93 95 96 100 110 114 120 121 124 125 128 132 150 152 155 160 165 176 186 190 192 200 209 220 228 240 242 248 250 256 264 275 285 300 304 310 320 330 341 352 363 372 375 380 384 400 418 440 456 465 475 480 484 496 500 512 528 550 570 589 600 605 608 620 627 640 660 682 704 726 744 750 760 768 769 775 800 825 836 880 912 930 950 960 968 992 1000 1023 1024 1045 1056 1100 1140 1178 1200 1210 1216 1240 1254 1280 1320 1364 1375 1408 1425 1452 1488 1500 1520 1536 1538 1550 1600 1650 1672 1705 1760 1767 1815 1824 1860 1900 1920 1936 1984 2000 2046 2048 2090 2112 2200 2280 2299 2307 2325 2356 2375 2400 2420 2432 2480 2508 2560 2640 2728 2750 2816 2850 2904 2945 2976 3000 3025 3040 3072 3076 3100 3135 3200 3300 3344 3410 3520 3534 3630 3648 3720 3751 3800 3840 3845 3872 3875 3968 4000 4092 4125 4180 4224 4400 4560 4598 4614 4650 4712 4750 4800 4840 4864 4960 5016 5115 5120 5225 5280 5456 5500 5632 5700 5808 5890 5952 6000 6050 6080 6144 6152 6200 6270 6400 6479 6600 6688 6820 6897 7040 7068 7125 7260 7296 7440 7502 7600 7680 7690 7744 7750 7936 8000 8184 8250 8360 8448 8459 8525 8800 8835 9075 9120 9196 9228 9300 9424 9500 9600 9680 9728 9920 10032 10230 10240 10450 10560 10912 11000 11253 11264 11400 11495 11535 11616 11625 11780 11904 12000 12100 12160 12304 12400 12540 12800 12958 13200 13376 13640 13794 14080 14136 14250 14520 14592 14611 14725 14880 15004 15125 15200 15360 15380 15488 15500 15675 15872 16000 16368 16500 16720 16896 16918 17050 17600 17670 18150 18240 18392 18456 18600 18755 18848 19000 19200 19225 19360 19437 19456 19840 20064 20460 20900 21120 21824 22000 22506 22528 22800 22990 23070 23232 23250 23560 23808 23839 24000 24200 24320 24608 24800 25080 25377 25575 25600 25916 26125 26400 26752 27280 27588 28160 28272 28500 29040 29184 29222 29450 29760 30008 30250 30400 30720 30760 30976 31000 31350 31744 32000 32395 32736 33000 33440 33792 33836 34100 34485 35200 35340 36300 36480 36784 36912 37200 37510 37696 38000 38400 38450 38720 38874 38912 39680 40128 40920 41800 42240 42295 42625 43648 43833 44000 44175 45012 45375 45600 45980 46140 46464 46500 47120 47616 47678 48000 48400 48640 49216 49600 50160 50754 51150 51200 51832 52250 52800 53504 54560 55176 56265 56320 56544 57000 57475 57675 58080 58368 58444 58900 59520 60016 60500 60800 61520 61952 62000 62700 63488 64000 64790 65472 66000 66880 67584 67672 68200 68970 70400 70680 71269 71517 72600 72960 73055 73568 73625 73824 74400 75020 75392 76000 76800 76900 77440 77748 78375 79360 80256 81840 83600 84480 84590 85250 87296 87666 88000 88350 90024 90750 91200 91960 92280 92928 93000 93049 93775 94240 95232 95356 96000 96125 96800 97185 97280 98432 99200 100320 101508 102300 103664 104500 105600 107008 109120 110352 112530 112640 113088 114000 114950 115350 116160 116736 116888 117800 119040 119195 120032 121000 121600 123040 123904 124000 125400 126885 127875 128000 129580 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371712 372000 372196 375100 376960 381424 384000 384500 387200 388740 393728 396800 401280 406032 409200 414656 418000 422400 422950 427614 428032 436480 438330 441408 441750 450120 452352 452941 456000 459800 461400 464640 465245 467552 468875 471200 476160 476780 480128 482163 484000 485925 486400 492160 496000 501600 507540 511500 518320 523776 524458 528000 535040 541376 545600 551760 558294 562650 563200 565440 570152 572136 574750 576750 580800 583680 584440 588544 589000 590592 595200 595975 600160 603136 608000 615200 619520 621984 627000 634425 642048 642884 647900 654720 668800 676720 682000 689700 698368 701328 704000 706800 712690 715170 720192 726000 729600 730550 735680 738240 743424 744000 744392 750200 753920 762848 768000 769000 774400 777480 786687 787456 793600 802560 803605 809875 812064 818400 829312 836000 844800 845900 855228 862125 872960 876660 882816 883500 900240 904704 905882 912000 919600 922800 929280 930490 935104 937750 942400 952320 953560 960256 964326 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44140800 44198275 44663520 44884992 45012000 45235200 45294100 45612160 45770880 46152304 46464000 46524500 46755200 47641088 47678000 48012800 48216300 48822272 49216000 49758720 49823510 50347968 50754000 51430720 51832000 51972096 52377600 52445800 53037930 53451750 53504000 54137600 54352920 54734592 54805861 55176000 55829400 56106240 56544000 56573792 56617625 57015200 57213600 57615360 57690380 57976448 58444000 58854400 59059200 59551360 59788212 60016000 60270375 61027840 61716864 62198400 62934960 64288400 64965120 65472000 65557250 66344960 67130624 67672000 67941150 68418240 69228456 69786750 70132800 70625280 70717240 71269000 71461632 71517000 72019200 72112975 72470560 72979456 73233408 73568000 73824000 74439200 74735265 74808320 75392000 76284800 77146080 77748000 78668700 79717616 80256000 80360500 81206400 82289152 82931200 83913280 84860688 85522800 86535570 86620160 86964672 87296000 87666000 88281600 88396550 89327040 89769984 90024000 90470400 90588200 91224320 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5610624000 5657379200 5769038000 5797644800 5907494912 5955136000 5978821200 6102784000 6171686400 6293496000 6377409280 6496512000 6576703320 6713062400 6788855040 6841824000 6850732625 6922845600 6957173760 7015150208 7071724000 7146163200 7247056000 7384368640 7473526500 7652891136 7714608000 7971761600 8055674880 8220879150 8228915200 8391328000 8486068800 8653557000 8696467200 8768937760 8861242368 8932704000 9051806720 9122432000 9154176000 9230460800 9566113920 9964702000 10069593600 10203854848 10286144000 10522725312 10607586000 10862168064 10870584000 10946918400 10961172200 11076552960 11221248000 11314758400 11538076000 11595289600 11910272000 11957642400 12343372800 12586992000 12754818560 13153406640 13426124800 13577710080 13683648000 13701465250 13845691200 13914347520 14030300416 14143448000 14292326400 14494112000 14768737280 14947053000 15305782272 15429216000 15943523200 16441758300 16782656000 16972137600 17307114000 17392934400 17537875520 17722484736 17865408000 18103613440 18244864000 18308352000 18460921600 19132227840 19929404000 20139187200 20552197875 20572288000 21045450624 21215172000 21741168000 21922344400 22153105920 22629516800 23076152000 23190579200 23820544000 23915284800 24686745600 25173984000 25509637120 26306813280 27155420160 27367296000 27402930500 27691382400 28060600832 28286896000 28988224000 29537474560 29894106000 30611564544 30858432000 31887046400 32883516600 33565312000 33944275200 34614228000 34785868800 35075751040 35730816000 36921843200 38264455680 39858808000 40278374400 41104395750 41144576000 42090901248 42430344000 43482336000 43844688800 44306211840 45259033600 46152304000 47830569600 50347968000 51019274240 52613626560 54310840320 54734592000 54805861000 55382764800 56121201664 56573792000 57976448000 59788212000 61716864000 63774092800 65767033200 67130624000 67888550400 69228456000 69571737600 70151502080 71461632000 73843686400 76528911360 79717616000 82208791500 84181802496 84860688000 86964672000 87689377600 88612423680 90518067200 92304608000 95661139200 100695936000 105227253120 109611722000 110765529600 112242403328 113147584000 115952896000 119576424000 123433728000 127548185600 131534066400 135777100800 138456912000 140303004160 147687372800 153057822720 159435232000 164417583000 168363604992 169721376000 173929344000 175378755200 184609216000 191322278400 201391872000 210454506240 219223444000 221531059200 226295168000 239152848000 255096371200 263068132800 271554201600 276913824000 280606008320 318870464000 328835166000 336727209984 339442752000 347858688000 350757510400 369218432000 382644556800 420909012480 438446888000 443062118400 452590336000 478305696000 526136265600 553827648000 561212016640 637740928000 657670332000 678885504000 701515020800 738436864000 765289113600 841818024960 876893776000 956611392000 1052272531200 1107655296000 1275481856000 1315340664000 1357771008000 1403030041600 1683636049920 1753787552000 1913222784000 2104545062400 2215310592000 2630681328000 2806060083200 3507575104000 3826445568000 4209090124800 5261362656000 7015150208000 8418180249600 10522725312000 14030300416000 21045450624000 42090901248000
- Sum of all divisors σ(n): 167479183872000
- Sum of proper divisors (its aliquot sum) s(n): 125388282624000
- 42090901248000 is an abundant number, because the sum of its proper divisors (125388282624000) is greater than itself. Its abundance is 83297381376000
Bases of 42090901248000
- Binary: 10011001001000000011010011011110011000000000002
- Hexadecimal: 0x26480D379800
- Base-36: EX4AJUJ9C
Squares and roots of 42090901248000
- 42090901248000 squared (420909012480002) is 1771643967868887957504000000
- 42090901248000 cubed (420909012480003) is 74570091298184248030877284564992000000000
-
The
square root of 42090901248000 is 6487750.0913644939 -
The
cube root of 42090901248000 is 34785.3257724489
Scales and comparisons
How big is 42090901248000?- 42,090,901,248,000 seconds is equal to 1,338,360 years, 24 weeks, 21 hours, 20 minutes.
-
To count from 1 to 42,090,901,248,000 would take you about three million, three hundred forty-five thousand, nine hundred 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 42090901248000 cubic inches would be around 2898.8 feet tall.
Recreational maths with 42090901248000
- 42090901248000 backwards is 00084210909024
- The number of decimal digits it has is: 14
- The sum of 42090901248000's digits is 39
- More coming soon!
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The information we have on file for 42090901248000 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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