13142915843200
13,142,915,843,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13142915843200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13142915843200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13142915843200:
27 × 52 × 113 × 132 × 19 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 19 × 31 × 31)See below for interesting mathematical facts about the number 13142915843200 from the Numbermatics database.
Names of 13142915843200
- Cardinal: 13142915843200 can be written as Thirteen trillion, one hundred forty-two billion, nine hundred fifteen million, eight hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.31429158432 × 1013
Factors of 13142915843200
Divisors of 13142915843200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 31 32 38 40 44 50 52 55 62 64 65 76 80 88 95 100 104 110 121 124 128 130 143 152 155 160 169 176 190 200 208 209 220 242 247 248 260 275 286 304 310 320 325 338 341 352 380 400 403 416 418 440 475 484 494 496 520 550 572 589 605 608 620 640 650 676 682 704 715 760 775 800 806 832 836 845 880 950 961 968 988 992 1040 1045 1100 1144 1178 1210 1216 1235 1240 1300 1331 1352 1364 1408 1430 1520 1550 1573 1600 1612 1664 1672 1690 1705 1760 1859 1900 1922 1936 1976 1984 2015 2080 2090 2200 2288 2299 2356 2420 2432 2470 2480 2600 2662 2704 2717 2728 2860 2945 3025 3040 3100 3146 3200 3211 3224 3344 3380 3410 3520 3575 3718 3751 3800 3844 3872 3952 3968 4030 4160 4180 4225 4400 4433 4576 4598 4712 4805 4840 4940 4960 5200 5225 5239 5324 5408 5434 5456 5720 5890 6050 6080 6175 6200 6292 6422 6448 6479 6655 6688 6760 6820 7040 7150 7436 7502 7600 7657 7688 7744 7865 7904 8060 8320 8360 8450 8525 8800 8866 9152 9196 9295 9424 9610 9680 9880 9920 10075 10400 10450 10478 10571 10648 10816 10868 10912 11440 11495 11780 12100 12160 12350 12400 12493 12584 12844 12896 12958 13310 13376 13520 13585 13640 14300 14725 14872 15004 15200 15314 15376 15488 15730 15808 16055 16120 16720 16900 17050 17303 17600 17732 18259 18304 18392 18590 18755 18848 19220 19360 19760 19840 20150 20449 20800 20900 20956 21142 21296 21632 21736 21824 22165 22880 22990 23560 24025 24200 24700 24800 24986 25168 25289 25688 25792 25916 26195 26620 26752 27040 27170 27280 28600 29450 29744 29887 30008 30400 30628 30752 31460 31616 32110 32240 32395 33275 33440 33800 34100 34606 35200 35321 35464 36518 36784 37180 37510 37696 38285 38440 38720 39325 39520 40300 40898 41261 41600 41800 41912 42284 42592 43472 43648 44330 45760 45980 46475 47120 48050 48400 48763 49400 49600 49972 50336 50578 51376 51584 51832 52390 52855 53240 54080 54340 54560 57200 57475 57629 58900 59488 59774 60016 60800 61256 61504 62465 62920 64220 64480 64790 66550 66880 67600 67925 68200 69212 70642 70928 71269 73036 73568 74360 75020 75392 76570 76880 77440 78650 79040 80275 80600 81796 82522 83600 83824 84227 84568 85184 86515 86944 88660 91295 91520 91960 92950 93775 94240 96100 96800 97526 98800 99200 99541 99944 100672 101156 102245 102752 103664 104780 105710 106480 108160 108680 109120 110825 114400 114950 115258 116281 117800 118976 119548 120032 122512 123008 124930 125840 126445 128440 128960 129580 130975 133100 133760 135200 135850 136400 137423 138424 141284 141856 142538 146072 147136 148720 149435 150040 153140 153760 157300 158080 160550 161200 161975 162409 163592 165044 167200 167648 168454 169136 170368 173030 173888 176605 177320 182590 183920 185900 187550 188480 191425 192200 193600 195052 197600 199082 199888 200849 201344 202312 204490 205504 206305 207328 209560 211420 212960 217360 218240 221650 224939 228800 229900 230516 232562 235600 237367 237952 239096 240064 243815 245024 249860 251680 252890 256880 257920 259160 261950 264275 266200 270400 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39010400 39197950 39302978 39816400 39977600 40169800 40462400 40570816 40765868 40930912 41776592 42080896 42738410 42911440 43798040 43975360 44186780 44662475 44987800 45612160 46103200 46324850 46512400 47473400 47819200 48177844 48372896 48605458 49372336 49731968 50173376 50713520 50957335 51163640 51970880 52220740 52601120 53639300 53905280 54747550 54969200 55233475 55369600 55784872 56513600 57015200 57167968 57442814 58428800 59295808 60222305 60466120 61715420 62164960 62716720 63391900 63706240 63954550 64271680 64963600 65275925 65436800 65751400 66017600 66512732 67381600 67886962 68381456 68658304 69731090 70076864 70698848 71459960 71980480 74119760 74419840 75582650 75957440 77144275 77706200 78020800 78395900 78605956 79632800 80339600 80924800 81141632 81531736 81861824 83140915 83553184 85476820 85822880 87596080 87950720 88373560 89324950 89975600 92206400 92649700 93024800 94946800 95638400 96355688 96745792 97210916 98257445 98744672 100346752 101427040 101914670 102327280 103941760 104441480 105202240 106846025 107278600 109495100 109938400 110466950 111569744 113027200 114030400 114335936 114885628 118591616 120444610 120932240 121513645 123430840 124329920 125433440 126783800 127909100 128543360 129927200 130551850 131502800 132035200 132489071 133025464 134763200 135773924 136762912 139462180 140153728 141397696 142919920 143607035 143960960 148239520 151165300 151914880 154288550 155412400 156041600 156791800 157211912 159265600 160679200 163063472 163723648 166281830 167106368 169717405 170953640 171645760 174327725 175192160 176747120 178649900 179951200 184412800 185299400 186049600 189893600 192711376 193491584 194421832 196514890 197489344 202854080 203829340 204654560 208882960 210404480 213692050 214557200 216166379 218990200 219876800 220933900 223139488 228060800 228671872 229771256 240889220 241864480 243027290 246861680 248659840 250866880 253567600 254786675 255818200 259854400 261103700 263005600 264978142 266050928 269526400 271547848 273525824 278924360 282795392 285839840 287214070 296479040 301111525 302330600 308577100 310824800 313583600 314423824 315935477 318531200 321358400 326126944 332563660 334212736 339434810 341907280 343291520 348655450 350384320 353494240 357299800 359902400 370598800 372099200 373378291 379787200 385422752 388843664 393029780 394978688 405708160 407658680 409309120 415704575 417765920 427384100 429114400 432332758 437980400 439753600 441867800 446278976 459542512 481778440 483728960 486054580 491287225 493723360 501733760 507135200 509573350 511636400 519708800 522207400 526011200 529956284 532101856 543095696 547051648 557848720 571679680 574428140 592958080 602223050 604661200 607568225 617154200 621649600 627167200 628847648 631870954 642716800 652253888 662445355 665127320 678869620 683814560 697310900 700768640 706988480 714599600 718035175 719804800 741197600 746756582 759574400 770845504 777687328 786059560 815317360 818618240 831409150 835531840 848587025 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3312226775 3325636600 3394348100 3419072800 3458662064 3503843200 3534942400 3676340096 3733782910 3854227520 3888436640 3930297800 4076586800 4093091200 4107161201 4177659200 4239650272 4323327580 4344765568 4462789760 4595425120 4817784400 4837289600 4860545800 4937233600 5054967632 5299562840 5321018560 5404159475 5430956960 5578487200 5716796800 5744281400 5974052656 6288476480 6318709540 6522538880 6624453550 6651273200 6788696200 6838145600 6917324128 7069884800 7467565820 7708455040 7776873280 7860595600 7898386925 8153173600 8214322402 8355318400 8479300544 8646655160 9190850240 9334457275 9635568800 9721091600 9874467200 10109935264 10599125680 10642037120 10808318950 10861913920 11156974400 11488562800 11948105312 12576952960 12637419080 13248907100 13302546400 13577392400 13676291200 13834648256 14935131640 15553746560 15721191200 15796773850 16306347200 16428644804 16958601088 17293310320 18381700480 18668914550 19271137600 19442183200 20219870528 20535806005 21198251360 21616637900 21723827840 22313948800 22977125600 23896210624 25274838160 26497814200 26605092800 27154784800 27669296512 29870263280 31442382400 31593547700 32612694400 32857289608 34586620640 37337829100 38542275200 38884366400 40439741056 41071612010 42396502720 43233275800 45954251200 47792421248 50549676320 52995628400 53210185600 54309569600 59740526560 62884764800 63187095400 65714579216 69173241280 74675658200 77768732800 82143224020 84793005440 86466551600 91908502400 101099352640 102679030025 105991256800 108619139200 119481053120 126374190800 131429158432 138346482560 149351316400 164286448040 172933103200 202198705280 205358060050 211982513600 238962106240 252748381600 262858316864 298702632800 328572896080 345866206400 410716120100 423965027200 505496763200 525716633728 597405265600 657145792160 691732412800 821432240200 1010993526400 1194810531200 1314291584320 1642864480400 2628583168640 3285728960800 6571457921600 13142915843200
- Sum of all divisors σ(n): 42060388989600
- Sum of proper divisors (its aliquot sum) s(n): 28917473146400
- 13142915843200 is an abundant number, because the sum of its proper divisors (28917473146400) is greater than itself. Its abundance is 15774557303200
Bases of 13142915843200
- Binary: 101111110100000100101101010010000100100000002
- Hexadecimal: 0xBF412D48480
- Base-36: 4NPRSR3WG
Squares and roots of 13142915843200
- 13142915843200 squared (131429158432002) is 172736236861437566986240000
- 13142915843200 cubed (131429158432003) is 2270257824140935642271114972397568000000
-
The
square root of 13142915843200 is 3625315.9646022579 -
The
cube root of 13142915843200 is 23599.1979062835
Scales and comparisons
How big is 13142915843200?- 13,142,915,843,200 seconds is equal to 417,904 years, 3 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,142,915,843,200 would take you about one million, forty-four thousand, seven hundred sixty 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 13142915843200 cubic inches would be around 1966.6 feet tall.
Recreational maths with 13142915843200
- 13142915843200 backwards is 00234851924131
- The number of decimal digits it has is: 14
- The sum of 13142915843200's digits is 43
- More coming soon!
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"Number 13142915843200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 13142915843200 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13142915843200/
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The information we have on file for 13142915843200 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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