3428416003200000
3,428,416,003,200,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3428416003200000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
3428416003200000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 3428416003200000:
210 × 3 × 55 × 17 × 53 × 127 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 53 × 127 × 3121)See below for interesting mathematical facts about the number 3428416003200000 from the Numbermatics database.
Names of 3428416003200000
- Cardinal: 3428416003200000 can be written as Three quadrillion, four hundred twenty-eight trillion, four hundred sixteen billion, three million, two hundred thousand.
Scientific notation
- Scientific notation: 3.4284160032 × 1015
Factors of 3428416003200000
Divisors of 3428416003200000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 53 60 64 68 75 80 85 96 100 102 106 120 125 127 128 136 150 159 160 170 192 200 204 212 240 250 254 255 256 265 272 300 318 320 340 375 381 384 400 408 424 425 480 500 508 510 512 530 544 600 625 635 636 640 680 750 762 768 795 800 816 848 850 901 960 1000 1016 1020 1024 1060 1088 1200 1250 1270 1272 1275 1280 1325 1360 1500 1524 1536 1590 1600 1632 1696 1700 1802 1875 1905 1920 2000 2032 2040 2120 2125 2159 2176 2400 2500 2540 2544 2550 2560 2650 2703 2720 3000 3048 3072 3121 3125 3175 3180 3200 3264 3392 3400 3604 3750 3810 3840 3975 4000 4064 4080 4240 4250 4318 4352 4505 4800 5000 5080 5088 5100 5120 5300 5406 5440 6000 6096 6242 6250 6350 6360 6375 6400 6477 6528 6625 6731 6784 6800 7208 7500 7620 7680 7950 8000 8128 8160 8480 8500 8636 8704 9010 9363 9375 9525 9600 10000 10160 10176 10200 10600 10625 10795 10812 10880 12000 12192 12484 12500 12700 12720 12750 12800 12954 13056 13250 13462 13515 13568 13600 14416 15000 15240 15360 15605 15875 15900 16000 16256 16320 16960 17000 17272 17408 18020 18726 18750 19050 19200 19875 20000 20193 20320 20352 20400 21200 21250 21590 21624 21760 22525 24000 24384 24968 25000 25400 25440 25500 25600 25908 26112 26500 26924 27030 27136 27200 28832 30000 30480 31210 31750 31800 31875 32000 32385 32512 32640 33125 33655 33920 34000 34544 36040 37452 37500 38100 38400 39750 40000 40386 40640 40704 40800 42400 42500 43180 43248 43520 45050 46815 47625 48000 48768 49936 50000 50800 50880 51000 51816 52224 53000 53057 53125 53848 53975 54060 54272 54400 57664 60000 60960 62420 63500 63600 63750 64000 64770 65024 65280 66250 67310 67575 67840 68000 69088 72080 74904 75000 76200 76800 78025 79375 79500 80000 80772 81280 81408 81600 84800 85000 86360 86496 87040 90100 93630 95250 96000 97536 99375 99872 100000 100965 101600 101760 102000 103632 106000 106114 106250 107696 107950 108120 108800 112625 114427 115328 120000 121920 124840 127000 127200 127500 128000 129540 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21427600020000 21562364800000 22856106688000 25208941200000 26784500025000 26995401600000 27427328025600 28570133360000 32343547200000 33611921600000 34284160032000 35712666700000 40334305920000 42855200040000 45712213376000 50417882400000 53569000050000 57140266720000 64687094400000 67223843200000 68568320064000 71425333400000 85710400080000 100835764800000 107138000100000 114280533440000 137136640128000 142850666800000 171420800160000 201671529600000 214276000200000 228561066880000 285701333600000 342841600320000 428552000400000 571402667200000 685683200640000 857104000800000 1142805334400000 1714208001600000 3428416003200000
- Sum of all divisors σ(n): 12422791786438656
- Sum of proper divisors (its aliquot sum) s(n): 8994375783238656
- 3428416003200000 is an abundant number, because the sum of its proper divisors (8994375783238656) is greater than itself. Its abundance is 5565959780038656
Bases of 3428416003200000
- Binary: 11000010111000100000010011100000001101010100000000002
- Hexadecimal: 0xC2E204E035400
- Base-36: XR9SKH86IO
Squares and roots of 3428416003200000
- 3428416003200000 squared (34284160032000002) is 11754036290997862410240000000000
- 3428416003200000 cubed (34284160032000003) is 40297726122250643584258539552768000000000000000
-
The
square root of 3428416003200000 is 58552677.1650963881 -
The
cube root of 3428416003200000 is 150787.2096416005
Scales and comparisons
How big is 3428416003200000?- 3,428,416,003,200,000 seconds is equal to 109,013,024 years, 5 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 3,428,416,003,200,000 would take you about three hundred twenty-seven million, thirty-nine thousand and seventy-two 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 3428416003200000 cubic inches would be around 12565.6 feet tall.
Recreational maths with 3428416003200000
- 3428416003200000 backwards is 0000023006148243
- The number of decimal digits it has is: 16
- The sum of 3428416003200000's digits is 33
- More coming soon!
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