13828628070400
13,828,628,070,400 is an even composite number composed of five prime numbers multiplied together.
13828628070400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13828628070400:
214 × 52 × 112 × 133 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 127)See below for interesting mathematical facts about the number 13828628070400 from the Numbermatics database.
Names of 13828628070400
- Cardinal: 13828628070400 can be written as Thirteen trillion, eight hundred twenty-eight billion, six hundred twenty-eight million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.38286280704 × 1013
Factors of 13828628070400
Divisors of 13828628070400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 121 127 128 130 143 160 169 176 200 208 220 242 254 256 260 275 286 320 325 338 352 400 416 440 484 508 512 520 550 572 605 635 640 650 676 704 715 800 832 845 880 968 1016 1024 1040 1100 1144 1210 1270 1280 1300 1352 1397 1408 1430 1573 1600 1651 1664 1690 1760 1859 1936 2032 2048 2080 2197 2200 2288 2420 2540 2560 2600 2704 2794 2816 2860 3025 3146 3175 3200 3302 3328 3380 3520 3575 3718 3872 4064 4096 4160 4225 4394 4400 4576 4840 5080 5120 5200 5408 5588 5632 5720 6050 6292 6350 6400 6604 6656 6760 6985 7040 7150 7436 7744 7865 8128 8192 8255 8320 8450 8788 8800 9152 9295 9680 10160 10240 10400 10816 10985 11176 11264 11440 12100 12584 12700 12800 13208 13312 13520 13970 14080 14300 14872 15367 15488 15730 16256 16384 16510 16640 16900 17576 17600 18161 18304 18590 19360 20320 20449 20480 20800 21463 21632 21970 22352 22528 22880 24167 24200 25168 25400 25600 26416 26624 27040 27940 28160 28600 29744 30734 30976 31460 32512 33020 33280 33800 34925 35152 35200 36322 36608 37180 38720 39325 40640 40898 40960 41275 41600 42926 43264 43940 44704 45056 45760 46475 48334 48400 50336 50800 51200 52832 53248 54080 54925 55880 56320 57200 59488 61468 61952 62920 65024 66040 66560 67600 69850 70304 70400 72644 73216 74360 76835 77440 78650 81280 81796 81920 82550 83200 85852 86528 87880 89408 90112 90805 91520 92950 96668 96800 100672 101600 102245 102400 105664 106496 107315 108160 109850 111760 112640 114400 118976 120835 122936 123904 125840 130048 132080 133120 135200 139700 140608 140800 145288 146432 148720 153670 154880 157300 162560 163592 165100 166400 171704 173056 175760 178816 180224 181610 183040 185900 193336 193600 199771 201344 203200 204490 204800 211328 212992 214630 216320 219700 223520 225280 228800 236093 237952 241670 245872 247808 251680 260096 264160 265837 266240 270400 279019 279400 281216 281600 290576 292864 297440 307340 309760 314600 325120 327184 330200 332800 343408 346112 351520 357632 363220 366080 371800 384175 386672 387200 399542 402688 406400 408980 409600 422656 429260 432640 439400 447040 450560 454025 457600 472186 475904 483340 491744 495616 503360 511225 520192 528320 531674 532480 536575 540800 558038 558800 562432 563200 581152 585728 594880 604175 614680 619520 629200 650240 654368 660400 665600 686816 692224 703040 715264 726440 732160 743600 768350 773344 774400 799084 805376 812800 817960 845312 858520 865280 878800 894080 901120 908050 915200 944372 951808 966680 983488 991232 998855 1006720 1022450 1040384 1056640 1063348 1064960 1073150 1081600 1116076 1117600 1124864 1126400 1162304 1171456 1180465 1189760 1208350 1229360 1239040 1258400 1300480 1308736 1320800 1329185 1331200 1373632 1384448 1395095 1406080 1430528 1452880 1464320 1487200 1536700 1546688 1548800 1598168 1610752 1625600 1635920 1690624 1717040 1730560 1757600 1788160 1816100 1830400 1888744 1903616 1933360 1966976 1982464 1997710 2013440 2044900 2080768 2113280 2126696 2146300 2163200 2232152 2235200 2249728 2252800 2324608 2342912 2360930 2379520 2416700 2458720 2478080 2516800 2597023 2600960 2617472 2641600 2658370 2662400 2747264 2768896 2790190 2812160 2861056 2905760 2928640 2974400 3069209 3073400 3093376 3097600 3196336 3221504 3251200 3271840 3381248 3434080 3461120 3515200 3576320 3632200 3660800 3777488 3807232 3866720 3933952 3995420 4026880 4089800 4226560 4253392 4292600 4326400 4464304 4470400 4499456 4505600 4649216 4721860 4759040 4833400 4917440 4956160 4994275 5033600 5194046 5201920 5234944 5283200 5316740 5324800 5494528 5580380 5624320 5722112 5811520 5857280 5902325 5948800 6138418 6146800 6186752 6195200 6392672 6443008 6502400 6543680 6645925 6762496 6868160 6922240 6975475 7030400 7152640 7264400 7321600 7554976 7614464 7733440 7867904 7990840 8053760 8179600 8453120 8506784 8585200 8652800 8928608 8940800 8998912 9298432 9443720 9518080 9666800 9834880 9912320 9988550 10067200 10388092 10403840 10469888 10566400 10633480 10989056 11160760 11248640 11444224 11623040 11714560 11804650 11897600 12276836 12293600 12373504 12390400 12785344 12886016 12985115 13004800 13087360 13291850 13524992 13736320 13844480 13950950 14060800 14305280 14528800 14643200 15109952 15228928 15346045 15466880 15735808 15981680 16107520 16359200 16906240 17013568 17170400 17305600 17857216 17881600 17997824 18596864 18887440 19036160 19333600 19669760 19977100 20134400 20776184 20939776 21132800 21266960 21978112 22321520 22497280 22888448 23246080 23609300 23795200 24553672 24587200 24747008 24780800 25570688 25772032 25970230 26009600 26174720 26583700 27049984 27472640 27901900 28121600 28610560 29057600 29286400 30219904 30457856 30692090 30933760 31471616 31963360 32215040 32718400 33761299 33812480 34027136 34340800 34611200 35714432 35763200 35995648 37193728 37774880 38072320 38667200 39339520 39954200 40268800 41552368 41879552 42265600 42533920 43956224 44643040 44994560 46492160 47218600 47590400 49107344 49174400 49494016 49561600 51141376 51940460 52019200 52349440 53167400 54945280 55803800 56243200 57221120 58115200 58572800 60439808 61384180 61867520 62943232 63926720 64430080 64925575 65436800 67522598 67624960 68054272 68681600 69222400 71428864 71526400 74387456 75549760 76144640 76730225 77334400 78679040 79908400 80537600 83104736 83759104 84531200 85067840 87912448 89286080 89989120 92984320 94437200 95180800 98214688 98348800 98988032 102282752 103880920 104698880 106334800 109890560 111607600 112486400 114442240 116230400 120879616 122768360 123735040 125886464 127853440 128860160 129851150 130873600 135045196 135249920 136108544 137363200 142857728 143052800 148774912 151099520 152289280 153460450 154668800 157358080 159816800 161075200 166209472 167518208 168806495 169062400 170135680 175824896 178572160 179978240 185968640 188874400 190361600 196429376 196697600 197976064 204565504 207761840 209397760 212669600 219781120 223215200 224972800 232460800 241759232 245536720 247470080 251772928 255706880 259702300 261747200 270090392 272217088 274726400 285715456 286105600 297549824 302199040 306920900 309337600 314716160 319633600 322150400 332418944 335036416 337612990 338124800 340271360 351649792 357144320 371937280 377748800 380723200 392858752 393395200 395952128 409131008 415523680 418795520 425339200 439562240 446430400 449945600 464921600 483518464 491073440 494940160 511413760 519404600 523494400 540180784 544434176 549452800 571430912 572211200 604398080 613841800 618675200 629432320 639267200 644300800 664837888 675225980 676249600 680542720 714288640 743874560 755497600 761446400 785717504 786790400 818262016 831047360 837591040 844032475 850678400 879124480 892860800 899891200 929843200 967036928 982146880 989880320 1022827520 1038809200 1046988800 1080361568 1088868352 1098905600 1142861824 1208796160 1227683600 1237350400 1258864640 1278534400 1329675776 1350451960 1361085440 1428577280 1487749120 1510995200 1571435008 1573580800 1636524032 1662094720 1675182080 1688064950 1701356800 1758248960 1785721600 1859686400 1934073856 1964293760 1979760640 2045655040 2077618400 2093977600 2160723136 2177736704 2197811200 2285723648 2417592320 2455367200 2474700800 2557068800 2659351552 2700903920 2722170880 2857154560 3021990400 3142870016 3147161600 3273048064 3324189440 3376129900 3402713600 3571443200 3719372800 3868147712 3928587520 4091310080 4155236800 4187955200 4321446272 4355473408 4395622400 4571447296 4835184640 4910734400 4949401600 5114137600 5318703104 5401807840 5444341760 5714309120 6043980800 6285740032 6294323200 6648378880 6752259800 6805427200 7142886400 7438745600 7857175040 8182620160 8310473600 8375910400 8642892544 8791244800 9670369280 9821468800 9898803200 10228275200 10637406208 10803615680 10888683520 11428618240 12087961600 12571480064 13296757760 13504519600 13610854400 14285772800 15714350080 16365240320 16620947200 17285785088 19340738560 19642937600 20456550400 21274812416 21607231360 21777367040 22857236480 24175923200 25142960128 26593515520 27009039200 27221708800 28571545600 31428700160 33241894400 34571570176 39285875200 40913100800 42549624832 43214462720 48351846400 50285920256 53187031040 54018078400 54443417600 57143091200 62857400320 66483788800 69143140352 78571750400 81826201600 86428925440 96703692800 106374062080 108036156800 108886835200 114286182400 125714800640 132967577600 138286280704 157143500800 172857850880 212748124160 216072313600 251429601280 265935155200 276572561408 314287001600 345715701760 432144627200 531870310400 553145122816 628574003200 691431403520 864289254400 1063740620800 1257148006400 1382862807040 1728578508800 2765725614080 3457157017600 6914314035200 13828628070400
- Sum of all divisors σ(n): 41156358602240
- Sum of proper divisors (its aliquot sum) s(n): 27327730531840
- 13828628070400 is an abundant number, because the sum of its proper divisors (27327730531840) is greater than itself. Its abundance is 13499102461440
Bases of 13828628070400
- Binary: 110010010011101110100111011011000000000000002
- Hexadecimal: 0xC93BA76C000
- Base-36: 4WGS83WN4
Squares and roots of 13828628070400
- 13828628070400 squared (138286280704002) is 191230954309454827356160000
- 13828628070400 cubed (138286280704003) is 2644461742693106873698179994353664000000
-
The
square root of 13828628070400 is 3718686.3366516945 -
The
cube root of 13828628070400 is 24002.6779826541
Scales and comparisons
How big is 13828628070400?- 13,828,628,070,400 seconds is equal to 439,707 years, 31 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,828,628,070,400 would take you about one million, ninety-nine thousand, two hundred sixty-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 13828628070400 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828628070400
- 13828628070400 backwards is 00407082682831
- The number of decimal digits it has is: 14
- The sum of 13828628070400's digits is 49
- More coming soon!
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The information we have on file for 13828628070400 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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