13755090918400
13,755,090,918,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13755090918400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
13755090918400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13755090918400:
210 × 52 × 13 × 17 × 19 × 41 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 41 × 3121)See below for interesting mathematical facts about the number 13755090918400 from the Numbermatics database.
Names of 13755090918400
- Cardinal: 13755090918400 can be written as Thirteen trillion, seven hundred fifty-five billion, ninety million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.37550909184 × 1013
Factors of 13755090918400
Divisors of 13755090918400
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 41 50 52 64 65 68 76 80 82 85 95 100 104 128 130 136 152 160 164 170 190 200 205 208 221 247 256 260 272 304 320 323 325 328 340 380 400 410 416 425 442 475 494 512 520 533 544 608 640 646 650 656 680 697 760 779 800 820 832 850 884 950 988 1024 1025 1040 1066 1088 1105 1216 1235 1280 1292 1300 1312 1360 1394 1520 1558 1600 1615 1640 1664 1700 1768 1900 1976 2050 2080 2132 2176 2210 2432 2470 2560 2584 2600 2624 2665 2720 2788 3040 3116 3121 3200 3230 3280 3328 3400 3485 3536 3800 3895 3952 4100 4160 4199 4264 4352 4420 4864 4940 5120 5168 5200 5248 5330 5440 5525 5576 6080 6175 6232 6242 6400 6460 6560 6656 6800 6970 7072 7600 7790 7904 8075 8200 8320 8398 8528 8704 8840 9061 9728 9880 10127 10336 10400 10496 10660 10880 11050 11152 12160 12350 12464 12484 12800 12920 13120 13243 13312 13325 13600 13940 14144 15200 15580 15605 15808 16150 16400 16640 16796 17056 17408 17425 17680 18122 19456 19475 19760 20254 20672 20800 20992 20995 21320 21760 22100 22304 24320 24700 24928 24968 25600 25840 26240 26486 26650 27200 27880 28288 30400 31160 31210 31616 32300 32800 33280 33592 34112 34850 35360 36244 38950 39520 40508 40573 41344 41600 41984 41990 42640 43520 44200 44608 45305 48640 49400 49856 49936 50635 51680 52480 52972 53057 53300 54400 55760 56576 59299 60800 62320 62420 63232 64600 65600 66215 66560 67184 68224 69700 70720 72488 77900 78025 79040 81016 81146 82688 83200 83980 85280 87040 88400 89216 90610 97280 98800 99712 99872 101270 103360 104960 104975 105944 106114 106600 108800 111520 113152 118598 121600 124640 124840 126464 127961 129200 131200 132430 134368 136448 139400 141440 144976 155800 156050 158080 162032 162292 165376 166400 167960 170560 172159 176800 178432 181220 197600 199424 199744 202540 202865 206720 209920 209950 211888 212228 213200 217600 223040 226304 226525 237196 243200 249280 249680 252928 253175 255922 258400 262400 264860 265285 268736 272896 278800 282880 289952 296495 311600 312100 316160 324064 324584 330752 331075 332800 335920 341120 344318 353600 356864 362440 395200 398848 399488 405080 405730 413440 419900 423776 424456 426400 435200 446080 453050 474392 486400 498560 499360 506350 511844 516800 524800 529720 530570 537472 545792 557600 565760 579904 592990 623200 624200 632320 639805 648128 649168 662150 671840 682240 688636 689741 707200 713728 724880 770887 790400 797696 798976 810160 811460 826880 839800 847552 848912 852800 860795 892160 906100 948784 997120 998720 1008083 1012700 1014325 1023688 1033600 1049600 1059440 1061140 1074944 1115200 1131520 1159808 1185980 1246400 1248400 1264640 1279610 1296256 1298336 1324300 1326425 1343680 1364480 1377272 1379482 1414400 1449760 1482475 1541774 1580800 1597952 1620320 1622920 1653760 1663493 1679600 1695104 1697824 1705600 1721590 1784320 1812200 1897568 1994240 1997440 2016166 2025400 2028650 2047376 2067200 2118880 2122280 2149888 2175337 2230400 2319616 2371960 2431259 2492800 2496800 2559220 2592512 2596672 2648600 2652850 2687360 2728960 2754544 2758964 2828800 2899520 2964950 3083548 3161600 3195904 3199025 3240640 3245840 3326986 3359200 3390208 3395648 3411200 3443180 3448705 3568640 3624400 3795136 3854435 3988480 3994880 4032332 4050800 4057300 4094752 4134400 4237760 4244560 4299776 4303975 4350674 4460800 4639232 4743920 4862518 4985600 4993600 5040415 5118440 5185024 5193344 5297200 5305700 5374720 5509088 5517928 5657600 5799040 5929900 6167096 6323200 6398050 6481280 6491680 6653972 6718400 6780416 6791296 6822400 6886360 6897410 7248800 7590272 7708870 7989760 8064664 8101600 8114600 8189504 8268800 8317465 8475520 8489120 8607950 8701348 8921600 9278464 9487840 9725036 9971200 9987200 10080830 10236880 10370048 10386688 10594400 10611400 10749440 10876685 11018176 11035856 11598080 11859800 12156295 12334192 12796100 12962560 12983360 13105079 13307944 13436800 13560832 13582592 13644800 13772720 13794820 14497600 15180544 15417740 15979520 16129328 16203200 16229200 16379008 16634930 16951040 16978240 17215900 17243525 17402696 17843200 18975680 19272175 19450072 19942400 19974400 20161660 20473760 20773376 21188800 21222800 21498880 21753370 22036352 22071712 23196160 23719600 24312590 24668384 25202075 25592200 25925120 25966720 26210158 26615888 26873600 27165184 27545440 27589640 28279381 28995200 30361088 30835480 31606367 32258656 32406400 32458400 32758016 33269860 33902080 33956480 34431800 34487050 34805392 37951360 38544350 38900144 39948800 40323320 40947520 41331403 41546752 41587325 42377600 42445600 43506740 44072704 44143424 46392320 47439200 48625180 49336768 50404150 51184400 51850240 51933440 52420316 53231776 53747200 54330368 54383425 55090880 55179280 56558762 57990400 60722176 60781475 61670960 63212734 64517312 64812800 64916800 65516032 65525395 66539720 67804160 67912960 68863600 68974100 69610784 75902720 77088700 77800288 79897600 80646640 81895040 82662806 83174650 84755200 84891200 87013480 88145408 88286848 94878400 97250360 98673536 100808300 102368800 103866880 104840632 106463552 107494400 108766850 110181760 110358560 113117524 115980800 121562950 123341920 126425468 129034624 129625600 129833600 131032064 131050790 133079440 135825920 137727200 137948200 139221568 141396905 151805440 154177400 155600576 158031835 161293280 163790080 165325612 166349300 169510400 169782400 174026960 176290816 176573696 189756800 194500720 197347072 201616600 204737600 206657015 207733760 209681264 212927104 217533700 220363520 220717120 226235048 231961600 243125900 246683840 252850936 258069248 259251200 259667200 262101580 266158880 271651840 275454400 275896400 278443136 282793810 303610880 308354800 311201152 316063670 322586560 327580160 327626975 330651224 332698600 339020800 339564800 348053920 353147392 379513600 389001440 394694144 403233200 409475200 413314030 419362528 425854208 435067400 440727040 441434240 452470096 486251800 493367680 505701872 516138496 519334400 524203160 532317760 537308239 550908800 551792800 556886272 565587620 616709600 622402304 632127340 645173120 655160320 655253950 661302448 665397200 679129600 696107840 706294784 706984525 759027200 778002880 789388288 790159175 806466400 818950400 826628060 838725056 851708416 870134800 881454080 882868480 904940192 972503600 986735360 1011403744 1032276992 1033285075 1038668800 1048406320 1064635520 1074616478 1101817600 1103585600 1113772544 1131175240 1233419200 1244804608 1264254680 1290346240 1310507900 1322604896 1330794400 1358259200 1392215680 1413969050 1518054400 1556005760 1580318350 1612932800 1637900800 1653256120 1677450112 1703416832 1740269600 1765736960 1809880384 1945007200 1973470720 2022807488 2066570150 2096812640 2129271040 2149232956 2203635200 2207171200 2227545088 2262350480 2466838400 2489609216 2528509360 2580692480 2621015800 2645209792 2661588800 2686541195 2784431360 2827938100 3112011520 3160636700 3225865600 3275801600 3306512240 3354900224 3480539200 3531473920 3619760768 3890014400 3946941440 4045614976 4133140300 4193625280 4258542080 4298465912 4407270400 4414342400 4524700960 4933676800 5057018720 5161384960 5242031600 5290419584 5323177600 5373082390 5568862720 5655876200 6224023040 6321273400 6451731200 6613024480 6709800448 6961078400 7239521536 7780028800 8091229952 8266280600 8387250560 8517084160 8596931824 8828684800 9049401920 9867353600 10114037440 10484063200 10580839168 10646355200 10746164780 11137725440 11311752400 12448046080 12642546800 12903462400 13226048960 13419600896 13432705975 13922156800 14479043072 15560057600 16182459904 16532561200 16774501120 17193863648 17657369600 18098803840 19734707200 20228074880 20968126400 21161678336 21292710400 21492329560 22623504800 25285093600 25806924800 26452097920 26865411950 27844313600 28958086144 31120115200 32364919808 33065122400 33549002240 34387727296 36197607680 40456149760 41936252800 42323356672 42585420800 42984659120 45247009600 50570187200 52904195840 53730823900 55688627200 62240230400 66130244800 67098004480 68775454592 72395215360 80912299520 83872505600 85969318240 90494019200 101140374400 105808391680 107461647800 132260489600 137550909184 144790430720 161824599040 167745011200 171938636480 180988038400 202280748800 211616783360 214923295600 264520979200 275101818368 335490022400 343877272960 361976076800 404561497600 429846591200 529041958400 550203636736 687754545920 723952153600 809122995200 859693182400 1058083916800 1375509091840 1719386364800 2751018183680 3438772729600 6877545459200 13755090918400
- Sum of all divisors σ(n): 41936507766720
- Sum of proper divisors (its aliquot sum) s(n): 28181416848320
- 13755090918400 is an abundant number, because the sum of its proper divisors (28181416848320) is greater than itself. Its abundance is 14426325929920
Bases of 13755090918400
- Binary: 110010000010100110110100111011011100000000002
- Hexadecimal: 0xC829B4EDC00
- Base-36: 4VJ01ZJ0G
Squares and roots of 13755090918400
- 13755090918400 squared (137550909184002) is 189202526173450155458560000
- 13755090918400 cubed (137550909184003) is 2602497949506762536543106843541504000000
-
The
square root of 13755090918400 is 3708785.6393164597 -
The
cube root of 13755090918400 is 23960.0556147289
Scales and comparisons
How big is 13755090918400?- 13,755,090,918,400 seconds is equal to 437,369 years, 17 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,755,090,918,400 would take you about one million, ninety-three thousand, four hundred twenty-three 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 13755090918400 cubic inches would be around 1996.7 feet tall.
Recreational maths with 13755090918400
- 13755090918400 backwards is 00481909055731
- 13755090918400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13755090918400's digits is 52
- More coming soon!
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The information we have on file for 13755090918400 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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