10144964134800

Names of 10144964134800

• Cardinal: 10144964134800 can be written as Ten trillion, one hundred forty-four billion, nine hundred sixty-four million, one hundred thirty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.01449641348 × 10¹³

Factors of 10144964134800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 12241

Divisors of 10144964134800

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 71 72 75 80 81 88 90 99 100 108 110 120 121 132 135 142 144 150 162 165 176 180 198 200 213 216 220 225 240 242 243 264 270 275 284 297 300 324 330 355 360 363 396 400 405 426 432 440 450 484 486 495 528 540 550 568 594 600 605 639 648 660 675 710 720 726 781 792 810 825 852 880 891 900 968 972 990 1065 1080 1089 1100 1136 1188 1200 1210 1215 1278 1296 1320 1350 1420 1452 1485 1562 1584 1620 1650 1704 1775 1782 1800 1815 1917 1936 1944 1980 2025 2130 2160 2178 2200 2343 2376 2420 2430 2475 2556 2640 2673 2700 2840 2904 2970 3025 3124 3195 3240 3267 3300 3408 3550 3564 3600 3630 3834 3888 3905 3960 4050 4260 4356 4400 4455 4686 4752 4840 4860 4950 5112 5325 5346 5400 5445 5680 5751 5808 5940 6050 6075 6248 6390 6480 6534 6600 7029 7100 7128 7260 7425 7668 7810 7920 8100 8520 8591 8712 8910 9075 9372 9585 9680 9720 9801 9900 10224 10650 10692 10800 10890 11502 11715 11880 12100 12149 12150 12496 12780 13068 13200 13365 14058 14200 14256 14520 14850 15336 15620 15975 16200 16335 17040 17182 17253 17424 17820 18150 18744 19170 19440 19525 19602 19800 21087 21300 21384 21780 22275 23004 23430 23760 24200 24298 24300 25560 25773 26136 26730 27225 28116 28400 28755 29040 29403 29700 30672 31240 31950 32400 32670 34364 34506 35145 35640 36300 36447 37488 38340 39050 39204 39600 42174 42600 42768 42955 43560 44550 46008 46860 47925 48400 48596 48600 49005 51120 51546 52272 53460 54450 56232 57510 58575 58806 59400 60745 62480 63261 63900 65340 66825 68728 69012 70290 71280 72600 72894 76680 77319 78100 78408 81675 84348 85200 85910 86265 87120 89100 92016 93720 95850 97192 97200 98010 103092 105435 106920 108900 109341 112464 115020 117150 117612 118800 121490 126522 127800 128865 130680 133639 133650 137456 138024 140580 143775 145200 145788 147015 153360 154638 156200 156816 163350 168696 171820 172530 175725 178200 182235 187440 189783 191700 194384 196020 206184 210870 213840 214775 217800 218682 230040 231957 234300 235224 242980 245025 253044 255600 257730 261360 267278 267300 276048 281160 287550 291576 294030 303725 309276 312400 316305 326700 328023 337392 343640 345060 351450 356400 364470 379566 383400 386595 392040 400917 412368 421740 429550 431325 435600 437364 460080 463914 468600 470448 485960 490050 506088 515460 527175 534556 534600 546705 562320 575100 583152 588060 607450 618552 632610 644325 653400 656046 668195 687280 690120 695871 702900 728940 735075 759132 766800 773190 784080 801834 843480 859100 862579 862650 874728 911175 927828 937200 948915 971920 980100 984069 1012176 1030920 1054350 1069112 1069200 1093410 1150200 1159785 1176120 1202751 1214900 1237104 1265220 1288650 1306800 1312092 1336390 1380240 1391742 1405800 1457880 1470029 1470150 1518264 1546380 1581525 1603668 1640115 1686960 1718200 1725158 1725300 1749456 1822350 1855656 1897830 1932975 1960200 1968138 2004585 2061840 2087613 2108700 2138224 2186820 2300400 2319570 2352240 2405502 2429800 2530440 2577300 2587737 2624184 2672780 2733525 2783484 2811600 2915760 2940058 2940300 2952207 3036528 3092760 3163050 3207336 3280230 3340975 3436400 3450316 3450600 3479355 3608253 3644700 3711312 3795660 3865950 3920400 3936276 4009170 4175226 4217400 4312895 4373640 4410087 4639140 4744575 4811004 4859600 4920345 5060880 5154600 5175474 5248368 5345560 5467050 5566968 5798925 5880116 5880600 5904414 6013755 6185520 6326100 6414672 6560460 6681950 6900632 6901200 6958710 7216506 7289400 7350145 7591320 7731900 7763211 7872552 8018340 8200575 8350452 8434800 8625790 8747280 8820174 9278280 9488369 9489150 9622008 9840690 10022925 10309200 10350948 10438065 10691120 10824759 10934100 11133936 11597850 11760232 11761200 11808828 12027510 12652200 12938685 13120920 13230261 13363900 13801264 13917420 14433012 14578800 14700290 14761035 15182640 15463800 15526422 15745104 16036680 16401150 16700904 17251580 17396775 17640348 18041265 18556560 18976738 18978300 19244016 19681380 20045850 20701896 20876130 21564475 21649518 21868200 22050435 23195700 23289633 23520464 23617656 24055020 24601725 25304400 25877370 26241840 26460522 26727800 27834840 28465107 28866024 29400580 29522070 30068775 30927600 31052844 32073360 32474277 32802300 33401808 34503160 34793550 35280696 36082530 36750725 37953476 37956600 38816055 39362760 39690783 40091700 41403792 41752260 43128950 43299036 43736400 44100870 46391400 46579266 47235312 47441845 48110040 49203450 51754740 52190325 52921044 53455600 54123795 55669680 56930214 57732048 58801160 59044140 60137550 62105688 64693425 64948554 65604600 66151305 69006320 69587100 69868899 70561392 72165060 73501450 73805175 75906952 75913200 77632110 78725520 79381566 80183400 83504520 85395321 86257900 86598072 88201740 90206325 92782800 93158532 94883690 96220080 98406900 103509480 104372059 104380650 105842088 108247590 110252175 113860428 116448165 117602320 118088280 119072349 120275100 124211376 129386850 129897108 131209200 132302610 139174200 139737798 142325535 144330120 147002900 147610350 151813904 155264220 158763132 160366800 162371385 167009040 170790642 172515800 173196144 176403480 180412650 186317064 189767380 194080275 196813800 198453915 207018960 208744118 208761300 209606697 211684176 216495180 220504350 227720856 232896330 236176560 237209225 238144698 240550200 256185963 258773700 259794216 264605220 270618975 278348400 279475596 284651070 288660240 294005800 295220700 310528440 313116177 317526264 324742770 330756525 341581284 345031600 349344495 352806960 357217047 360825300 372634128 379534760 388160550 393627600 396907830 417488236 417522600 419213394 426976605 432990360 441008700 455441712 465792660 474418450 476289396 481100400 512371926 517547400 519588432 521860295 529210440 541237950 558951192 569302140 582240825 588011600 590441400 595361745 621056880 626232354 635052528 649485540 661513050 683162568 698688990 711627675 714434094 721650600 759069520 768557889 776321100 793815660 811856925 834976472 835045200 838426788 853953210 865980720 882017400 931585320 939348531 948836900 952578792 992269575 1024743852 1035094800 1043720590 1048033485 1058420880 1082475900 1117902384 1138604280 1164481650 1180882800 1190723490 1252464708 1280929815 1298971080 1323026100 1366325136 1397377980 1423255350 1428868188 1443301200 1537115778 1552642200 1565580885 1587631320 1623713850 1669952944 1676853576 1707906420 1746722475 1764034800 1786085235 1863170640 1878697062 1897673800 1905157584 1984539150 2049487704 2087441180 2096066970 2134883025 2164951800 2277208560 2305673667 2328963300 2381446980 2504929416 2561859630 2597942160 2609301475 2646052200 2794755960 2818045593 2846510700 2857736376 2976808725 3074231556 3105284400 3131161770 3175262640 3247427700 3353707152 3415812840 3493444950 3572170470 3757394124 3795347600 3842789445 3969078300 4098975408 4174882360 4192133940 4269766050 4329903600 4611347334 4657926600 4696742655 4762893960 5009858832 5123719260 5218602950 5240167425 5292104400 5589511920 5636091186 5693021400 5715472752 5953617450 6148463112 6262323540 6404649075 6494855400 6831625680 6986889900 7144340940 7514788248 7685578890 7827904425 7938156600 8349764720 8384267880 8454136779 8539532100 8930426175 9222694668 9315853200 9393485310 9525787920 10247438520 10437205900 10480334850 11272182372 11386042800 11528368335 11907234900 12296926224 12524647080 12809298150 12989710800 13973779800 14090227965 14288681880 15029576496 15371157780 15655808850 15876313200 16768535760 16908273558 17079064200 17860852350 18445389336 18786970620 19213947225 20494877040 20874411800 20960669700 22544364744 23056736670 23483713275 23814469800 25049294160 25362410337 25618596300 27947559600 28180455930 28577363760 30742315560 31311617700 33816547116 34158128400 35721704700 36890778672 37573941240 38427894450 41748823600 41921339400 42270683895 45088729488 46113473340 46967426550 47628939600 50724820674 51237192600 56360911860 57641841675 61484631120 62623235400 67633094232 70451139825 71443409400 75147882480 76855788900 83842678800 84541367790 92226946680 93934853100 101449641348 102474385200 112721823720 115283683350 125246470800 126812051685 135266188464 140902279650 142886818800 153711577800 169082735580 184453893360 187869706200 202899282696 211353419475 225443647440 230567366700 253624103370 281804559300 307423155600 338165471160 375739412400 405798565392 422706838950 461134733400 507248206740 563609118600 634060258425 676330942320 845413677900 922269466800 1014496413480 1127218237200 1268120516850 1690827355800 2028992826960 2536241033700 3381654711600 5072482067400 10144964134800
• Sum of all divisors σ(n): 40699135713600
• Sum of proper divisors (its aliquot sum) s(n): 30554171578800
• 10144964134800 is an abundant number, because the sum of its proper divisors (30554171578800) is greater than itself. Its abundance is 20409207444000

Bases of 10144964134800

• Binary: 10010011101000001110111110111100011110010000₂
• Hexadecimal: 0x93A0EFBC790
• Base-36: 3LGJ5PL00

Squares and roots of 10144964134800

• 10144964134800 squared (10144964134800²) is 102920297296378312571040000
• 10144964134800 cubed (10144964134800³) is 1044122724814711386965744777136192000000
• The square root of 10144964134800 is 3185116.0316070119
• The cube root of 10144964134800 is 21647.9531156033

Scales and comparisons

• 10,144,964,134,800 seconds is equal to 322,578 years, 24 weeks, 6 days, 9 hours.
• To count from 1 to 10,144,964,134,800 would take you about eight hundred six thousand, four hundred forty-six 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 10144964134800 cubic inches would be around 1804 feet tall.

Recreational maths with 10144964134800

• 10144964134800 backwards is 00843146944101
• 10144964134800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10144964134800's digits is 45
• More coming soon!