42608905152000
42,608,905,152,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42608905152000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
42608905152000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42608905152000:
29 × 3 × 53 × 112 × 229 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 229 × 8009)See below for interesting mathematical facts about the number 42608905152000 from the Numbermatics database.
Names of 42608905152000
- Cardinal: 42608905152000 can be written as Forty-two trillion, six hundred eight billion, nine hundred five million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.2608905152 × 1013
Factors of 42608905152000
Divisors of 42608905152000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 128 132 150 160 165 176 192 200 220 229 240 242 250 256 264 275 300 320 330 352 363 375 384 400 440 458 480 484 500 512 528 550 600 605 640 660 687 704 726 750 768 800 825 880 916 960 968 1000 1056 1100 1145 1200 1210 1280 1320 1374 1375 1408 1452 1500 1536 1600 1650 1760 1815 1832 1920 1936 2000 2112 2200 2290 2400 2420 2519 2560 2640 2748 2750 2816 2904 3000 3025 3200 3300 3435 3520 3630 3664 3840 3872 4000 4125 4224 4400 4580 4800 4840 5038 5280 5496 5500 5632 5725 5808 6000 6050 6400 6600 6870 7040 7260 7328 7557 7680 7744 8000 8009 8250 8448 8800 9075 9160 9600 9680 10076 10560 10992 11000 11450 11616 12000 12100 12595 12800 13200 13740 14080 14520 14656 15114 15125 15488 16000 16018 16500 16896 17175 17600 18150 18320 19200 19360 20152 21120 21984 22000 22900 23232 24000 24027 24200 25190 26400 27480 27709 28160 28625 29040 29312 30228 30250 30976 32000 32036 33000 34350 35200 36300 36640 37785 38400 38720 40045 40304 42240 43968 44000 45375 45800 46464 48000 48054 48400 50380 52800 54960 55418 57250 58080 58624 60456 60500 61952 62975 64000 64072 66000 68700 70400 72600 73280 75570 77440 80090 80608 83127 84480 85875 87936 88000 88099 90750 91600 92928 96000 96108 96800 100760 105600 109920 110836 114500 116160 117248 120135 120912 121000 125950 128144 132000 137400 138545 140800 145200 146560 151140 154880 160180 161216 166254 171750 175872 176000 176198 181500 183200 185856 188925 192000 192216 193600 200225 201520 211200 219840 221672 229000 232320 240270 241824 242000 251900 256288 264000 264297 274800 277090 290400 293120 302280 309760 314875 320360 322432 332508 343500 351744 352000 352396 363000 366400 377850 384432 387200 400450 403040 415635 422400 439680 440495 443344 458000 464640 480540 483648 484000 503800 512576 528000 528594 549600 554180 580800 586240 600675 604560 629750 640720 644864 665016 687000 692725 704000 704792 726000 732800 755700 768864 774400 800900 806080 831270 879360 880990 886688 916000 929280 944625 961080 967296 968000 969089 1001125 1007600 1025152 1056000 1057188 1099200 1108360 1161600 1201350 1209120 1259500 1281440 1289728 1321485 1330032 1374000 1385450 1409584 1452000 1465600 1511400 1537728 1548800 1601800 1612160 1662540 1758720 1761980 1773376 1832000 1834061 1889250 1922160 1934592 1936000 1938178 2002250 2015200 2050304 2078175 2112000 2114376 2198400 2202475 2216720 2323200 2402700 2418240 2519000 2562880 2642970 2660064 2748000 2770900 2819168 2904000 2907267 2931200 3003375 3022800 3075456 3203600 3224320 3325080 3463625 3523960 3546752 3664000 3668122 3778500 3844320 3869184 3872000 3876356 4004500 4030400 4100608 4156350 4228752 4396800 4404950 4433440 4646400 4805400 4836480 4845445 5038000 5125760 5285940 5320128 5496000 5502183 5541800 5638336 5808000 5814534 6006750 6045600 6150912 6407200 6448640 6607425 6650160 6927250 7047920 7093504 7328000 7336244 7557000 7688640 7744000 7752712 8009000 8060800 8312700 8457504 8793600 8809900 8866880 9170305 9610800 9672960 9690890 10076000 10251520 10390875 10571880 10640256 10992000 11004366 11012375 11083600 11276672 11616000 11629068 12013500 12091200 12301824 12814400 13214850 13300320 13854500 14095840 14187008 14536335 14656000 14672488 15114000 15377280 15505424 16018000 16121600 16625400 16915008 17619800 17733760 18340610 19221600 19345920 19381780 20152000 20174671 20503040 20781750 21143760 21280512 21984000 22008732 22024750 22167200 22553344 23232000 23258136 24027000 24182400 24227225 25628800 26429700 26600640 27510915 27709000 28191680 29072670 29344976 30228000 30754560 31010848 32036000 32243200 33037125 33250800 33830016 35239600 35467520 36681220 38443200 38763560 40304000 40349342 41563500 42287520 42561024 43968000 44017464 44049500 44334400 45106688 45851525 46516272 48054000 48364800 48454450 51257600 52859400 53201280 55021830 55418000 56383360 58145340 58689952 60456000 60524013 61509120 62021696 64072000 66074250 66501600 67660032 70479200 70935040 72681675 73362440 76886400 77527120 80608000 80698684 83127000 84575040 88034928 88099000 88668800 91703050 93032544 96108000 96729600 96908900 100873355 102515200 105718800 106402560 110043660 110836000 112766720 116290680 117379904 120912000 121048026 121136125 124043392 128144000 132148500 133003200 135320064 137554575 140958400 145363350 146724880 153772800 155054240 161216000 161397368 166254000 169150080 176069856 176198000 177337600 183406100 186065088 192216000 193817800 201746710 211437600 212805120 220087320 221672000 221921381 225533440 229257625 232581360 234759808 241824000 242096052 242272250 248086784 256288000 264297000 266006400 275109150 281916800 290726700 293449760 302620065 307545600 310108480 322794736 332508000 338300160 352139712 352396000 354675200 363408375 366812200 372130176 384432000 387635600 403493420 422875200 440174640 443344000 443842762 458515250 465162720 469519616 483648000 484192104 484544500 496173568 504366775 512576000 528594000 532012800 550218300 563833600 581453400 586899520 605240130 620216960 645589472 665016000 665764143 676600320 687772875 704279424 704792000 726816750 733624400 744260352 768864000 775271200 806986840 845750400 880349280 886688000 887685524 917030500 930325440 939039232 968384208 969089000 1008733550 1057188000 1064025600 1100436600 1109606905 1127667200 1162906800 1173799040 1210480260 1240433920 1291178944 1330032000 1331528286 1375545750 1408558848 1409584000 1453633500 1467248800 1488520704 1513100325 1537728000 1550542400 1613973680 1691500800 1760698560 1773376000 1775371048 1834061000 1860650880 1936768416 1938178000 2017467100 2114376000 2200873200 2219213810 2325813600 2347598080 2420960520 2480867840 2521833875 2582357888 2660064000 2663056572 2751091500 2817117696 2819168000 2907267000 2934497600 3026200650 3101084800 3227947360 3328820715 3383001600 3521397120 3550742096 3668122000 3721301760 3873536832 3876356000 4034934200 4228752000 4401746400 4438427620 4651627200 4695196160 4841921040 5043667750 5164715776 5320128000 5326113144 5502183000 5548034525 5638336000 5814534000 5868995200 6052401300 6202169600 6455894720 6657641430 7042794240 7101484192 7336244000 7442603520 7565501625 7747073664 7752712000 8069868400 8457504000 8803492800 8876855240 9303254400 9683842080 10087335500 10329431552 10652226288 11004366000 11096069050 11629068000 11737990400 12104802600 12404339200 12911789440 13315282860 14085588480 14202968384 14672488000 15131003250 15494147328 15505424000 16139736800 16644103575 16915008000 17606985600 17753710480 18606508800 19367684160 20174671000 21304452576 22008732000 22192138100 23258136000 23475980800 24209605200 25823578880 26630565720 27740172625 28405936768 29344976000 30262006500 30988294656 31010848000 32279473600 33288207150 35213971200 35507420960 37213017600 38735368320 40349342000 42608905152 44017464000 44384276200 46516272000 48419210400 51647157760 53261131440 55480345250 56811873536 58689952000 60524013000 62021696000 64558947200 66576414300 70427942400 71014841920 77470736640 80698684000 83220517875 85217810304 88034928000 88768552400 93032544000 96838420800 106522262880 110960690500 113623747072 117379904000 121048026000 129117894400 133152828600 142029683840 154941473280 161397368000 166441035750 170435620608 176069856000 177537104800 186065088000 193676841600 213044525760 221921381000 242096052000 258235788800 266305657200 284059367680 322794736000 332882071500 340871241216 352139712000 355074209600 387353683200 426089051520 443842762000 484192104000 532611314400 568118735360 645589472000 665764143000 710148419200 774707366400 852178103040 887685524000 968384208000 1065222628800 1291178944000 1331528286000 1420296838400 1704356206080 1775371048000 1936768416000 2130445257600 2663056572000 2840593676800 3550742096000 3873536832000 4260890515200 5326113144000 7101484192000 8521781030400 10652226288000 14202968384000 21304452576000 42608905152000
- Sum of all divisors σ(n): 156412773316800
- Sum of proper divisors (its aliquot sum) s(n): 113803868164800
- 42608905152000 is an abundant number, because the sum of its proper divisors (113803868164800) is greater than itself. Its abundance is 71194963012800
Bases of 42608905152000
- Binary: 10011011000000101010001010011111100110000000002
- Hexadecimal: 0x26C0A8A7E600
- Base-36: F3Q9DZXMO
Squares and roots of 42608905152000
- 42608905152000 squared (426089051520002) is 1815518798252132143104000000
- 42608905152000 cubed (426089051520003) is 77357268276398121867288826871808000000000
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The
square root of 42608905152000 is 6527549.7050577869 -
The
cube root of 42608905152000 is 34927.4429274715
Scales and comparisons
How big is 42608905152000?- 42,608,905,152,000 seconds is equal to 1,354,831 years, 20 weeks, 10 hours, 40 minutes.
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To count from 1 to 42,608,905,152,000 would take you about three million, three hundred eighty-seven thousand and seventy-eight 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 42608905152000 cubic inches would be around 2910.6 feet tall.
Recreational maths with 42608905152000
- 42608905152000 backwards is 00025150980624
- The number of decimal digits it has is: 14
- The sum of 42608905152000's digits is 42
- More coming soon!
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The information we have on file for 42608905152000 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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