47680129806400000
47,680,129,806,400,000 is an even composite number composed of five prime numbers multiplied together.
47680129806400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 47680129806400000:
29 × 55 × 74 × 132 × 2712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 271 × 271)See below for interesting mathematical facts about the number 47680129806400000 from the Numbermatics database.
Names of 47680129806400000
- Cardinal: 47680129806400000 can be written as Forty-seven quadrillion, six hundred eighty trillion, one hundred twenty-nine billion, eight hundred six million, four hundred thousand.
Scientific notation
- Scientific notation: 4.76801298064 × 1016
Factors of 47680129806400000
Divisors of 47680129806400000
- Number of divisors d(n): 2700
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 271 280 320 325 338 343 350 364 392 400 416 448 455 490 500 512 520 542 560 625 637 640 650 676 686 700 728 784 800 832 845 875 896 910 980 1000 1040 1084 1120 1183 1225 1250 1274 1280 1300 1352 1355 1372 1400 1456 1568 1600 1625 1664 1690 1715 1750 1792 1820 1897 1960 2000 2080 2168 2240 2275 2366 2401 2450 2500 2548 2560 2600 2704 2710 2744 2800 2912 3125 3136 3185 3200 3250 3328 3380 3430 3500 3523 3584 3640 3794 3920 4000 4160 4225 4336 4375 4459 4480 4550 4732 4802 4900 5000 5096 5200 5408 5420 5488 5600 5824 5915 6125 6250 6272 6370 6400 6500 6656 6760 6775 6860 7000 7046 7280 7588 7840 8000 8125 8281 8320 8450 8575 8672 8750 8918 8960 9100 9464 9485 9604 9800 10000 10192 10400 10816 10840 10976 11200 11375 11648 11830 12005 12250 12500 12544 12740 12800 13000 13279 13520 13550 13720 14000 14092 14560 15176 15680 15925 16000 16250 16562 16640 16900 17150 17344 17500 17615 17836 17920 18200 18928 18970 19208 19600 20000 20384 20800 21125 21632 21680 21875 21952 22295 22400 22750 23296 23660 24010 24500 24661 25000 25088 25480 26000 26558 27040 27100 27440 28000 28184 29120 29575 30352 30625 31213 31360 31850 32000 32500 33124 33280 33800 33875 34300 34688 35000 35230 35672 36400 37856 37940 38416 39200 40000 40625 40768 41405 41600 42250 42875 43264 43360 43750 43904 44590 44800 45500 45799 46592 47320 47425 48020 49000 49322 50000 50960 52000 53116 54080 54200 54880 56000 56368 56875 57967 58240 59150 60025 60704 61250 62426 62720 63700 64000 65000 66248 66395 67600 67750 68600 69376 70000 70460 71344 72800 73441 75712 75880 76832 78400 79625 80000 81250 81536 82810 83200 84500 85750 86528 86720 87500 87808 88075 89180 89600 91000 91598 92953 94640 94850 96040 98000 98644 100000 101920 104000 105625 106232 108160 108400 109760 111475 112000 112736 113750 115934 116480 118300 120050 121408 122500 123305 124852 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261978735200000 272457884608000 282130945600000 298000811290000 340572355760000 366770229280000 372501014112500 381441038451200 425715444700000 458462786600000 476801298064000 486531936800000 523957470400000 596001622580000 681144711520000 733540458560000 745002028225000 851430889400000 916925573200000 953602596128000 973063873600000 1192003245160000 1362289423040000 1490004056450000 1702861778800000 1833851146400000 1907205192256000 2384006490320000 2980008112900000 3405723557600000 3667702292800000 4768012980640000 5960016225800000 6811447115200000 9536025961280000 11920032451600000 23840064903200000 47680129806400000
- Sum of all divisors σ(n): 150978865580314002
- Sum of proper divisors (its aliquot sum) s(n): 103298735773914002
- 47680129806400000 is an abundant number, because the sum of its proper divisors (103298735773914002) is greater than itself. Its abundance is 55618605967514002
Bases of 47680129806400000
- Binary: 101010010110010011010011010011111111010001111010000000002
- Hexadecimal: 0xA964D34FF47A00
- Base-36: D1H718U9DDS
Squares and roots of 47680129806400000
- 47680129806400000 squared (476801298064000002) is 2273394778355153701480960000000000
- 47680129806400000 cubed (476801298064000003) is 108395758133165685567035608718086144000000000000000
-
The
square root of 47680129806400000 is 218357802.2567547275 -
The
cube root of 47680129806400000 is 362615.0371168413
Scales and comparisons
How big is 47680129806400000?- 47,680,129,806,400,000 seconds is equal to 1,516,080,643 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 47,680,129,806,400,000 would take you about four billion, five hundred forty-eight million, two hundred forty-one thousand, nine hundred thirty 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 47680129806400000 cubic inches would be around 30217.9 feet tall.
Recreational maths with 47680129806400000
- 47680129806400000 backwards is 00000460892108674
- The number of decimal digits it has is: 17
- The sum of 47680129806400000's digits is 55
- More coming soon!
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The information we have on file for 47680129806400000 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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