28138812134400
28,138,812,134,400 is an even composite number composed of six prime numbers multiplied together.
28138812134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred seventy-two divisors.
Prime factorization of 28138812134400:
210 × 36 × 52 × 112 × 17 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 733)See below for interesting mathematical facts about the number 28138812134400 from the Numbermatics database.
Names of 28138812134400
- Cardinal: 28138812134400 can be written as Twenty-eight trillion, one hundred thirty-eight billion, eight hundred twelve million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.81388121344 × 1013
Factors of 28138812134400
Divisors of 28138812134400
- Number of divisors d(n): 2772
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 81 85 88 90 96 99 100 102 108 110 120 121 128 132 135 136 144 150 153 160 162 165 170 176 180 187 192 198 200 204 216 220 225 240 242 243 255 256 264 270 272 275 288 297 300 306 320 324 330 340 352 360 363 374 384 396 400 405 408 425 432 440 450 459 480 484 486 495 510 512 528 540 544 550 561 576 594 600 605 612 640 648 660 675 680 704 720 726 729 733 748 765 768 792 800 810 816 825 850 864 880 891 900 918 935 960 968 972 990 1020 1024 1056 1080 1088 1089 1100 1122 1152 1188 1200 1210 1215 1224 1275 1280 1296 1320 1350 1360 1377 1408 1440 1452 1458 1466 1485 1496 1530 1536 1584 1600 1620 1632 1650 1683 1700 1728 1760 1782 1800 1815 1836 1870 1920 1936 1944 1980 2025 2040 2057 2112 2160 2176 2178 2199 2200 2244 2295 2304 2376 2400 2420 2430 2448 2475 2550 2560 2592 2640 2673 2700 2720 2754 2805 2816 2880 2904 2916 2932 2970 2992 3025 3060 3072 3168 3200 3240 3264 3267 3300 3366 3400 3456 3520 3564 3600 3630 3645 3665 3672 3740 3825 3840 3872 3888 3960 4050 4080 4114 4131 4224 4320 4352 4356 4398 4400 4455 4488 4590 4608 4675 4752 4800 4840 4860 4896 4950 5049 5100 5120 5184 5280 5346 5400 5440 5445 5508 5610 5632 5760 5808 5832 5864 5940 5984 6050 6075 6120 6171 6336 6400 6480 6528 6534 6597 6600 6732 6800 6885 6912 7040 7128 7200 7260 7290 7330 7344 7425 7480 7650 7680 7744 7776 7920 8019 8063 8100 8160 8228 8262 8415 8448 8640 8704 8712 8796 8800 8910 8976 9075 9180 9216 9350 9504 9600 9680 9720 9792 9801 9900 10098 10200 10285 10368 10560 10692 10800 10880 10890 10995 11016 11220 11264 11475 11520 11616 11664 11728 11880 11968 12100 12150 12240 12342 12393 12461 12672 12800 12960 13056 13068 13194 13200 13365 13464 13600 13770 13824 14025 14080 14256 14400 14520 14580 14660 14688 14850 14960 15147 15300 15360 15488 15552 15840 16038 16126 16200 16320 16335 16456 16524 16830 16896 17280 17408 17424 17592 17600 17820 17952 18150 18225 18325 18360 18513 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9770420880 9992475900 10031662080 10217433600 10345151520 10421782272 10527052800 10658640960 10856023200 10991723490 11034828288 11369217024 11494612800 11579758080 11627608320 11724505056 11842934400 12213026100 12260920320 12539577600 12790369152 12796185600 12919564800 12931439400 13027227840 13323301200 13679539200 13793535360 13895709696 14211521280 14474697600 14534510400 14655631320 15047493120 15326150400 15503477760 15632673408 15790579200 15987961440 16284034800 16552242432 16719436800 17053825536 17241919200 17369637120 17586757584 17764401600 18319539150 18391380480 18809366400 18948695040 19194278400 19299596800 19379347200 19540841760 19984951800 20434867200 20690303040 20843564544 21317281920 21712046400 21983446980 22069656576 22989225600 23159516160 23255216640 23449010112 23685868800 24426052200 25079155200 25580738304 25839129600 25862878800 26054455680 26646602400 27479308725 27587070720 28423042560 28949395200 29069020800 29311262640 30094986240 30652300800 31265346816 31581158400 31975922880 32568069600 33104484864 34107651072 34483838400 34739274240 35173515168 35528803200 36639078300 36782760960 37618732800 38388556800 38599193600 38758694400 39081683520 39969903600 41380606080 41687129088 42634563840 43424092800 43966893960 45978451200 46510433280 46898020224 47371737600 48852104400 50158310400 51161476608 51725757600 52108911360 53293204800 54958617450 55174141440 56846085120 57898790400 58138041600 58622525280 61304601600 62530693632 63951845760 65136139200 66208969728 68967676800 69478548480 70347030336 71057606400 73278156600 75237465600 77517388800 78163367040 79939807200 82761212160 85269127680 86848185600 87933787920 91956902400 93796040448 94743475200 97704208800 102322953216 103451515200 104217822720 106586409600 109917234900 110348282880 115797580800 116276083200 117245050560 125061387264 127903691520 130272278400 137935353600 140694060672 142115212800 146556313200 150474931200 156326734080 159879614400 165522424320 170538255360 173696371200 175867575840 183913804800 187592080896 195408417600 206903030400 208435645440 213172819200 219834469800 232552166400 234490101120 255807383040 260544556800 275870707200 281388121344 284230425600 293112626400 312653468160 319759228800 331044848640 347392742400 351735151680 375184161792 390816835200 413806060800 426345638400 439668939600 468980202240 511614766080 521089113600 551741414400 562776242688 586225252800 625306936320 639518457600 703470303360 781633670400 827612121600 852691276800 879337879200 937960404480 1042178227200 1125552485376 1172450505600 1279036915200 1406940606720 1563267340800 1655224243200 1758675758400 1875920808960 2344901011200 2558073830400 2813881213440 3126534681600 3517351516800 4689802022400 5627762426880 7034703033600 9379604044800 14069406067200 28138812134400
- Sum of all divisors σ(n): 121876480523196
- Sum of proper divisors (its aliquot sum) s(n): 93737668388796
- 28138812134400 is an abundant number, because the sum of its proper divisors (93737668388796) is greater than itself. Its abundance is 65598856254396
Bases of 28138812134400
- Binary: 1100110010111100100111110011011010100000000002
- Hexadecimal: 0x199793E6D400
- Base-36: 9Z2SI8000
Squares and roots of 28138812134400
- 28138812134400 squared (281388121344002) is 791792748335056683663360000
- 28138812134400 cubed (281388121344003) is 22280107394780418407178376612675584000000
-
The
square root of 28138812134400 is 5304602.9195784297 -
The
cube root of 28138812134400 is 30415.9874263455
Scales and comparisons
How big is 28138812134400?- 28,138,812,134,400 seconds is equal to 894,727 years, 9 weeks, 5 days.
-
To count from 1 to 28,138,812,134,400 would take you about two million, two hundred thirty-six thousand, eight hundred seventeen 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 28138812134400 cubic inches would be around 2534.7 feet tall.
Recreational maths with 28138812134400
- 28138812134400 backwards is 00443121883182
- 28138812134400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 28138812134400's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 28138812134400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 28138812134400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/28138812134400/
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The information we have on file for 28138812134400 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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