13828348512000
13,828,348,512,000 is an even composite number composed of six prime numbers multiplied together.
13828348512000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13828348512000:
28 × 37 × 53 × 112 × 23 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 23 × 71)See below for interesting mathematical facts about the number 13828348512000 from the Numbermatics database.
Names of 13828348512000
- Cardinal: 13828348512000 can be written as Thirteen trillion, eight hundred twenty-eight billion, three hundred forty-eight million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.3828348512 × 1013
Factors of 13828348512000
Divisors of 13828348512000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 71 72 75 80 81 88 90 92 96 99 100 108 110 115 120 121 125 128 132 135 138 142 144 150 160 162 165 176 180 184 192 198 200 207 213 216 220 225 230 240 242 243 250 253 256 264 270 275 276 284 288 297 300 320 324 330 345 352 355 360 363 368 375 384 396 400 405 414 426 432 440 450 460 480 484 486 495 500 506 528 540 550 552 568 575 576 594 600 605 621 639 640 648 660 675 690 704 710 720 726 729 736 750 759 768 781 792 800 810 825 828 852 864 880 891 900 920 960 968 972 990 1000 1012 1035 1056 1065 1080 1089 1100 1104 1125 1136 1150 1152 1188 1200 1210 1215 1242 1265 1278 1280 1296 1320 1350 1375 1380 1408 1420 1440 1452 1458 1472 1485 1500 1518 1562 1584 1600 1620 1633 1650 1656 1704 1725 1728 1760 1775 1782 1800 1815 1840 1863 1917 1920 1936 1944 1980 2000 2024 2025 2070 2112 2130 2160 2178 2187 2200 2208 2250 2272 2277 2300 2304 2343 2376 2400 2420 2430 2475 2484 2530 2556 2592 2640 2673 2700 2750 2760 2783 2816 2840 2875 2880 2904 2916 2944 2970 3000 3025 3036 3105 3124 3168 3195 3200 3240 3266 3267 3300 3312 3375 3408 3450 3456 3520 3550 3564 3600 3630 3645 3680 3726 3795 3834 3840 3872 3888 3905 3960 4000 4048 4050 4125 4140 4224 4260 4320 4356 4374 4400 4416 4455 4500 4544 4554 4600 4686 4752 4800 4840 4860 4899 4950 4968 5060 5112 5175 5184 5280 5325 5346 5400 5445 5500 5520 5566 5589 5680 5750 5751 5760 5808 5832 5888 5940 6000 6050 6072 6075 6210 6248 6325 6336 6390 6400 6480 6532 6534 6600 6624 6750 6816 6831 6900 6912 7029 7040 7100 7128 7200 7260 7290 7360 7425 7452 7590 7668 7744 7776 7810 7920 8000 8019 8096 8100 8165 8250 8280 8349 8448 8520 8591 8625 8640 8712 8748 8800 8832 8875 8910 9000 9075 9088 9108 9200 9315 9372 9504 9585 9600 9680 9720 9798 9801 9900 9936 10120 10125 10224 10350 10368 10560 10650 10692 10800 10890 10935 11000 11040 11132 11178 11360 11385 11500 11502 11520 11616 11664 11715 11880 12000 12100 12144 12150 12375 12420 12496 12650 12672 12780 12960 13064 13068 13200 13248 13365 13500 13632 13662 13800 13915 14058 14080 14200 14256 14400 14520 14580 14697 14720 14850 14904 15125 15180 15336 15488 15525 15552 15620 15840 15975 16000 16038 16192 16200 16330 16335 16500 16560 16698 16767 17040 17182 17250 17253 17280 17424 17496 17600 17664 17750 17820 17963 18000 18150 18176 18216 18225 18400 18630 18744 18975 19008 19170 19200 19360 19440 19525 19596 19602 19800 19872 20240 20250 20448 20493 20700 20736 21087 21120 21300 21384 21600 21780 21870 22000 22080 22264 22275 22356 22720 22770 23000 23004 23232 23328 23430 23760 24000 24057 24200 24288 24300 24495 24750 24840 24992 25047 25300 25344 25560 25773 25875 25920 26128 26136 26400 26496 26625 26730 27000 27225 27264 27324 27600 27830 27945 28116 28400 28512 28755 28800 29040 29160 29394 29403 29440 29700 29808 30250 30360 30375 30672 30976 31050 31104 31240 31625 31680 31950 32000 32076 32384 32400 32660 32670 33000 33120 33396 33534 34080 34155 34364 34500 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5121610560 5173344000 5238010800 5335011000 5410152000 5465750400 5566968000 5587211520 5690678400 5714193600 5761811880 5820012000 5901984000 6001887375 6012325440 6073056000 6086421000 6145932672 6262839000 6285612960 6322976000 6349104000 6402013200 6492182400 6547513500 6680361600 6828814080 6832188000 6914174256 6984014400 7113348000 7142742000 7202264850 7213536000 7422624000 7515406800 7618924800 7682415840 7760016000 7790618880 7857016200 8002516500 8016433920 8115228000 8350452000 8380817280 8468064000 8536017600 8642717820 8730018000 8852976000 9109584000 9218899008 9312019200 9394258500 9484464000 9523656000 9603019800 9738273600 9821270250 10020542400 10056980736 10243221120 10476021600 10670022000 10803397275 10820304000 10931500800 11133936000 11381356800 11428387200 11523623760 11640024000 12003774750 12024650880 12172842000 12291865344 12525678000 12571225920 12698208000 12804026400 12984364800 13095027000 13360723200 13664376000 13828348512 13968028800 14226696000 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64020132000 64921824000 66803616000 69141742560 69840144000 72022648500 75154068000 76824158400 78570162000 83808172800 85360176000 86427178200 92188990080 96030198000 97382736000 100205424000 102432211200 104760216000 108033972750 110626788096 114283872000 115236237600 120246508800 125712259200 128040264000 138283485120 139680288000 144045297000 150308136000 153648316800 157140324000 170720352000 172854356400 184377980160 192060396000 194765472000 200410848000 209520432000 216067945500 230472475200 251424518400 256080528000 276566970240 288090594000 300616272000 307296633600 314280648000 345708712800 384120792000 419040864000 432135891000 460944950400 512161056000 553133940480 576181188000 601232544000 628561296000 691417425600 768241584000 864271782000 921889900800 1152362376000 1257122592000 1382834851200 1536483168000 1728543564000 2304724752000 2765669702400 3457087128000 4609449504000 6914174256000 13828348512000
- Sum of all divisors σ(n): 60091731947520
- Sum of proper divisors (its aliquot sum) s(n): 46263383435520
- 13828348512000 is an abundant number, because the sum of its proper divisors (46263383435520) is greater than itself. Its abundance is 32435034923520
Bases of 13828348512000
- Binary: 110010010011101010011100110100000111000000002
- Hexadecimal: 0xC93A9CD0700
- Base-36: 4WGNLO000
Squares and roots of 13828348512000
- 13828348512000 squared (138283485120002) is 191223222569332614144000000
- 13828348512000 cubed (138283485120003) is 2644301365276475471631252553728000000000
-
The
square root of 13828348512000 is 3718648.7481341929 -
The
cube root of 13828348512000 is 24002.5162361805
Scales and comparisons
How big is 13828348512000?- 13,828,348,512,000 seconds is equal to 439,698 years, 36 weeks, 6 days.
-
To count from 1 to 13,828,348,512,000 would take you about one million, ninety-nine thousand, two hundred forty-six 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 13828348512000 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828348512000
- 13828348512000 backwards is 00021584382831
- 13828348512000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828348512000's digits is 45
- More coming soon!
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"Number 13828348512000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13828348512000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13828348512000/
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The information we have on file for 13828348512000 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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