14067828640790400
14,067,828,640,790,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 14067828640790400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
14067828640790400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 14067828640790400:
27 × 3 × 52 × 72 × 172 × 29 × 18892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 29 × 1889 × 1889)See below for interesting mathematical facts about the number 14067828640790400 from the Numbermatics database.
Names of 14067828640790400
- Cardinal: 14067828640790400 can be written as Fourteen quadrillion, sixty-seven trillion, eight hundred twenty-eight billion, six hundred forty million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.40678286407904 × 1016
Factors of 14067828640790400
Divisors of 14067828640790400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 29 30 32 34 35 40 42 48 49 50 51 56 58 60 64 68 70 75 80 84 85 87 96 98 100 102 105 112 116 119 120 128 136 140 145 147 150 160 168 170 174 175 192 196 200 203 204 210 224 232 238 240 245 255 272 280 289 290 294 300 320 336 340 348 350 357 384 392 400 406 408 420 425 435 448 464 476 480 490 493 510 525 544 560 578 580 588 595 600 609 640 672 680 696 700 714 725 735 784 800 812 816 833 840 850 867 870 896 928 952 960 980 986 1015 1020 1050 1088 1120 1156 1160 1176 1190 1200 1218 1225 1275 1344 1360 1392 1400 1421 1428 1445 1450 1470 1479 1568 1600 1624 1632 1666 1680 1700 1734 1740 1785 1856 1889 1904 1920 1960 1972 2023 2030 2040 2100 2175 2176 2240 2312 2320 2352 2380 2400 2436 2450 2465 2499 2550 2688 2720 2784 2800 2842 2856 2890 2900 2940 2958 2975 3045 3136 3200 3248 3264 3332 3360 3400 3451 3468 3480 3570 3675 3712 3778 3808 3920 3944 4046 4060 4080 4165 4200 4263 4335 4350 4480 4624 4640 4704 4760 4800 4872 4900 4930 4998 5075 5100 5440 5568 5600 5667 5684 5712 5780 5800 5880 5916 5950 6069 6090 6272 6496 6528 6664 6720 6800 6902 6936 6960 7105 7140 7225 7350 7395 7556 7616 7840 7888 8092 8120 8160 8330 8381 8400 8526 8670 8700 8925 9248 9280 9408 9445 9520 9600 9744 9800 9860 9996 10115 10150 10200 10353 10880 11136 11200 11334 11368 11424 11560 11600 11760 11832 11900 12138 12180 12325 12495 12992 13223 13328 13440 13600 13804 13872 13920 14161 14210 14280 14450 14700 14790 15112 15225 15232 15680 15776 16184 16240 16320 16660 16762 16800 17052 17255 17340 17400 17850 18496 18560 18816 18890 19040 19488 19600 19720 19992 20230 20300 20400 20706 20825 21315 21675 22400 22668 22736 22848 23120 23200 23520 23664 23800 24157 24276 24360 24650 24990 25143 25984 26446 26656 27200 27608 27744 27840 28322 28335 28420 28560 28900 29400 29580 30224 30345 30450 31360 31552 32113 32368 32480 32640 33320 33524 33600 34104 34510 34680 34800 35525 35700 36975 36992 37780 38080 38976 39200 39440 39669 39984 40460 40600 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1979989956480 2021239747240 2028233656400 2038224955200 2068798329528 2093426881070 2111018703600 2154998259925 2165614014900 2242957372575 2309988282560 2317981321600 2364340948032 2377929114400 2392487864080 2425487696688 2433880387680 2462855154200 2474987445600 2482411971200 2512112257284 2526549684050 2585997911910 2758397772704 2771985939072 2814691604800 2853514937280 2870985436896 2887485353200 2930797633498 2955426185040 2990609830100 3031859620860 3042350484600 3140140321605 3233983595584 3245173850240 3299983260800 3349483009712 3377629925760 3447997215880 3464982423840 3476971982400 3566893671600 3588731796120 3694282731300 3723617956800 3789824526075 3827980582528 3940568246720 4042479494480 4056467312800 4076449910400 4137596659056 4186853762140 4222037407200 4309996519850 4331228029800 4396196450247 4485914745150 4619976565120 4728681896064 4755858228800 4784975728160 4850975393376 4867760775360 4925710308400 4949974891200 5024224514568 5053099368100 5171995823820 5233567202675 5516795545408 5629383209600 5707029874560 5741970873792 5774970706400 5861595266996 5910852370080 5981219660200 6063719241720 6084700969200 6280280643210 6464994779775 6467967191168 6698966019424 6895994431760 6929964847680 6953943964800 7133787343200 7177463592240 7326994083745 7388565462600 7447235913600 7579649052150 7881136493440 8084958988960 8112934625600 8275193318112 8373707524280 8444074814400 8619993039700 8662456059600 8792392900494 8971829490300 9511716457600 9569951456320 9701950786752 9735521550720 9851420616800 9899949782400 10048449029136 10106198736200 10343991647640 10467134405350 11033591090816 11483941747584 11549941412800 11723190533992 11821704740160 11962439320400 12127438483440 12169401938400 12560561286420 12929989559550 13397932038848 13791988863520 13859929695360 14267574686400 14354927184480 14653988167490 14777130925200 15159298104300 15700701608025 16169917977920 16225869251200 16550386636224 16747415048560 16888149628800 17239986079400 17324912119200 17584785800988 17943658980600 19139902912640 19403901573504 19702841233600 20096898058272 20212397472400 20687983295280 20934268810700 21980982251235 23099882825600 23446381067984 23643409480320 23924878640800 24254876966880 24338803876800 25121122572840 25859979119100 26795864077696 27583977727040 28535149372800 28709854368960 29307976334980 29554261850400 30318596208600 31401403216050 32339835955840 33100773272448 33494830097120 34479972158800 34649824238400 35169571601976 35887317961200 36634970418725 39405682467200 40193796116544 40424794944800 41375966590560 41868537621400 43961964502470 46892762135968 47849757281600 48509753933760 48677607753600 50242245145680 51719958238200 55167955454080 57419708737920 58615952669960 59108523700800 60637192417200 62802806432100 66989660194240 68959944317600 69299648476800 70339143203952 71774635922400 73269940837450 80387592233088 80849589889600 82751933181120 83737075242800 87923929004940 93785524271936 95699514563200 97019507867520 100484490291360 103439916476400 109904911256175 117231905339920 118217047401600 121274384834400 125605612864200 133979320388480 137919888635200 140678286407904 143549271844800 146539881674900 161699179779200 165503866362240 167474150485600 175847858009880 187571048543872 200968980582720 206879832952800 219809822512350 234463810679840 242548769668800 251211225728400 275839777270400 281356572815808 287098543689600 293079763349800 334948300971200 351695716019760 401937961165440 413759665905600 439619645024700 468927621359680 485097539337600 502422451456800 562713145631616 586159526699600 669896601942400 703391432039520 827519331811200 879239290049400 937855242719360 1004844902913600 1172319053399200 1406782864079040 1758478580098800 2009689805827200 2344638106798400 2813565728158080 3516957160197600 4689276213596800 7033914320395200 14067828640790400
- Sum of all divisors σ(n): 59263901003345400
- Sum of proper divisors (its aliquot sum) s(n): 45196072362555000
- 14067828640790400 is an abundant number, because the sum of its proper divisors (45196072362555000) is greater than itself. Its abundance is 31128243721764600
Bases of 14067828640790400
- Binary: 1100011111101010011101100110001110010100110111100000002
- Hexadecimal: 0x31FA9D98E53780
- Base-36: 3UIMN9C5KLC
Squares and roots of 14067828640790400
- 14067828640790400 squared (140678286407904002) is 197903802666642673114736732160000
- 14067828640790400 cubed (140678286407904003) is 2784076783275127335117365775570344975499264000000
-
The
square root of 14067828640790400 is 118607877.6506451109 -
The
cube root of 14067828640790400 is 241402.8296858015
Scales and comparisons
How big is 14067828640790400?- 14,067,828,640,790,400 seconds is equal to 447,313,436 years, 6 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 14,067,828,640,790,400 would take you about one billion, three hundred forty-one million, nine hundred forty thousand, three hundred eight 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 14067828640790400 cubic inches would be around 20116.9 feet tall.
Recreational maths with 14067828640790400
- 14067828640790400 backwards is 00409704682876041
- The number of decimal digits it has is: 17
- The sum of 14067828640790400's digits is 66
- More coming soon!
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"Number 14067828640790400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 14067828640790400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/14067828640790400/
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The information we have on file for 14067828640790400 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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