45429828473664000
45,429,828,473,664,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 45429828473664000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
45429828473664000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 45429828473664000:
29 × 32 × 53 × 17 × 83 × 127 × 233 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 83 × 127 × 233 × 1889)See below for interesting mathematical facts about the number 45429828473664000 from the Numbermatics database.
Names of 45429828473664000
- Cardinal: 45429828473664000 can be written as Forty-five quadrillion, four hundred twenty-nine trillion, eight hundred twenty-eight billion, four hundred seventy-three million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.5429828473664 × 1016
Factors of 45429828473664000
Divisors of 45429828473664000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 83 85 90 96 100 102 120 125 127 128 136 144 150 153 160 166 170 180 192 200 204 225 233 240 249 250 254 255 256 272 288 300 306 320 332 340 360 375 381 384 400 408 415 425 450 466 480 498 500 508 510 512 544 576 600 612 635 640 664 680 699 720 747 750 762 765 768 800 816 830 850 900 932 960 996 1000 1016 1020 1088 1125 1143 1152 1165 1200 1224 1245 1270 1275 1280 1328 1360 1398 1411 1440 1494 1500 1524 1530 1536 1600 1632 1660 1700 1800 1864 1889 1905 1920 1992 2000 2032 2040 2075 2097 2125 2159 2176 2250 2286 2304 2330 2400 2448 2490 2540 2550 2560 2656 2720 2796 2822 2880 2988 3000 3048 3060 3175 3200 3264 3320 3400 3495 3600 3728 3735 3778 3810 3825 3840 3961 3984 4000 4064 4080 4150 4194 4233 4250 4318 4352 4500 4572 4608 4660 4800 4896 4980 5080 5100 5312 5440 5592 5644 5667 5715 5760 5825 5976 6000 6096 6120 6225 6350 6375 6400 6477 6528 6640 6800 6990 7055 7200 7456 7470 7556 7620 7650 7680 7922 7968 8000 8128 8160 8300 8388 8466 8500 8636 8704 9000 9144 9320 9445 9525 9600 9792 9960 10160 10200 10375 10485 10541 10624 10795 10880 11184 11288 11334 11430 11520 11650 11883 11952 12000 12192 12240 12450 12699 12700 12750 12800 12954 13056 13280 13600 13980 14110 14400 14912 14940 15112 15240 15300 15844 15875 15936 16000 16256 16320 16600 16776 16932 17000 17001 17272 17475 18000 18288 18640 18675 18890 19050 19125 19200 19339 19431 19584 19805 19920 20320 20400 20750 20970 21082 21165 21248 21590 21760 22368 22576 22668 22860 23040 23300 23766 23904 24000 24384 24480 24900 25398 25400 25500 25908 26112 26560 27200 27960 28220 28335 28575 28800 29125 29591 29824 29880 30224 30480 30600 31125 31623 31688 31750 31872 32000 32113 32385 32512 32640 33200 33552 33864 34000 34002 34544 34950 35275 35649 36000 36576 37280 37350 37780 38100 38250 38400 38678 38862 39168 39610 39840 40640 40800 41500 41940 42164 42330 42496 43180 43520 44736 45152 45336 45720 46600 47225 47532 47625 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39746131648000 40382069754368 41755357053000 44539047523200 44714398104000 45429828473664 45612277584000 47322737993400 48744451152000 50477587192960 53446857027840 54734733100800 55673809404000 56787285592080 59153422491750 59385396697600 59619197472000 60573104631552 60816370112000 63096983991200 64992601536000 66808571284800 68418416376000 70984106990100 71543036966400 74231745872000 75716380789440 78871229989000 83510714106000 88730133737625 89078095046400 89428796208000 90859656947328 91224555168000 94645475986800 97488902304000 100955174385920 106893714055680 109469466201600 111347618808000 113574571184160 118306844983500 119238394944000 121146209263104 126193967982400 133617142569600 136836832752000 141968213980200 148463491744000 151432761578880 157742459978000 167021428212000 177460267475250 178156190092800 178857592416000 181719313894656 182449110336000 189290951973600 194977804608000 201910348771840 222695237616000 227149142368320 236613689967000 252387935964800 267234285139200 273673665504000 283936427960400 296926983488000 302865523157760 315484919956000 334042856424000 354920534950500 357715184832000 363438627789312 378581903947200 445390475232000 454298284736640 473227379934000 504775871929600 534468570278400 547347331008000 567872855920800 605731046315520 630969839912000 668085712848000 709841069901000 757163807894400 890780950464000 908596569473280 946454759868000 1009551743859200 1135745711841600 1261939679824000 1336171425696000 1419682139802000 1514327615788800 1817193138946560 1892909519736000 2271491423683200 2523879359648000 2672342851392000 2839364279604000 3028655231577600 3785819039472000 4542982847366400 5047758719296000 5678728559208000 7571638078944000 9085965694732800 11357457118416000 15143276157888000 22714914236832000 45429828473664000
- Sum of all divisors σ(n): 177575483881635840
- Sum of proper divisors (its aliquot sum) s(n): 132145655407971840
- 45429828473664000 is an abundant number, because the sum of its proper divisors (132145655407971840) is greater than itself. Its abundance is 86715826934307840
Bases of 45429828473664000
- Binary: 101000010110011000110000001101000110000100110010000000002
- Hexadecimal: 0xA1663034613200
- Base-36: CFBJ331T340
Squares and roots of 45429828473664000
- 45429828473664000 squared (454298284736640002) is 2063869315146532323941584896000000
- 45429828473664000 cubed (454298284736640003) is 93761228979165353562673570560144756178944000000000
-
The
square root of 45429828473664000 is 213142742.0149792481 -
The
cube root of 45429828473664000 is 356818.2281873995
Scales and comparisons
How big is 45429828473664000?- 45,429,828,473,664,000 seconds is equal to 1,444,528,021 years, 40 weeks, 2 days, 16 hours.
-
To count from 1 to 45,429,828,473,664,000 would take you about four billion, three hundred thirty-three million, five hundred eighty-four thousand and sixty-five 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 45429828473664000 cubic inches would be around 29734.9 feet tall.
Recreational maths with 45429828473664000
- 45429828473664000 backwards is 00046637482892454
- 45429828473664000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 45429828473664000's digits is 72
- More coming soon!
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The information we have on file for 45429828473664000 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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