12814401600

Names of 12814401600

• Cardinal: 12814401600 can be written as Twelve billion, eight hundred fourteen million, four hundred one thousand, six hundred.

Scientific notation

• Scientific notation: 1.28144016 × 10¹⁰

Factors of 12814401600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 168

Divisors of 12814401600

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 28 30 32 33 35 36 39 40 42 44 45 48 49 50 52 55 56 60 63 64 65 66 70 72 75 77 78 80 84 88 90 91 96 98 99 100 104 105 110 112 117 120 126 127 130 132 140 143 144 147 150 154 156 160 165 168 175 176 180 182 192 195 196 198 200 208 210 220 224 225 231 234 240 245 252 254 260 264 273 275 280 286 288 294 300 308 312 315 320 325 330 336 350 352 360 364 381 385 390 392 396 400 416 420 429 440 441 448 450 455 462 468 480 490 495 504 508 520 525 528 539 546 550 560 572 576 585 588 600 616 624 630 635 637 650 660 672 693 700 704 715 720 728 735 762 770 780 784 792 800 819 825 832 840 858 880 882 889 900 910 924 936 960 975 980 990 1001 1008 1016 1040 1050 1056 1078 1092 1100 1120 1143 1144 1155 1170 1176 1200 1225 1232 1248 1260 1270 1274 1287 1300 1320 1344 1365 1386 1397 1400 1430 1440 1456 1470 1524 1540 1560 1568 1575 1584 1600 1617 1638 1650 1651 1680 1716 1760 1764 1778 1800 1820 1848 1872 1905 1911 1925 1950 1960 1980 2002 2016 2032 2080 2100 2112 2145 2156 2184 2200 2205 2240 2275 2286 2288 2310 2340 2352 2400 2450 2464 2475 2496 2520 2540 2548 2574 2600 2640 2667 2695 2730 2772 2794 2800 2860 2880 2912 2925 2940 3003 3048 3080 3120 3136 3150 3168 3175 3185 3234 3276 3300 3302 3360 3432 3465 3520 3528 3556 3575 3600 3640 3675 3696 3744 3810 3822 3850 3900 3920 3960 4004 4032 4064 4095 4160 4191 4200 4290 4312 4368 4400 4410 4445 4550 4572 4576 4620 4680 4704 4800 4851 4900 4928 4950 4953 5005 5040 5080 5096 5148 5200 5280 5334 5390 5460 5544 5588 5600 5715 5720 5733 5775 5824 5850 5880 6006 6096 6160 6223 6240 6300 6336 6350 6370 6435 6468 6552 6600 6604 6720 6825 6864 6930 6985 7007 7056 7112 7150 7200 7280 7350 7392 7488 7620 7644 7700 7800 7840 7920 8001 8008 8085 8128 8190 8255 8382 8400 8580 8624 8736 8800 8820 8890 9009 9100 9144 9152 9240 9360 9408 9525 9555 9702 9779 9800 9900 9906 10010 10080 10160 10192 10296 10400 10560 10668 10725 10780 10920 11025 11088 11176 11200 11430 11440 11466 11550 11557 11700 11760 12012 12192 12320 12446 12480 12573 12600 12700 12740 12870 12936 13104 13200 13208 13335 13475 13650 13728 13860 13970 14014 14112 14224 14300 14400 14560 14700 14784 14859 15015 15240 15288 15400 15600 15680 15840 15925 16002 16016 16170 16380 16510 16764 16800 17160 17248 17325 17472 17600 17640 17780 18018 18161 18200 18288 18480 18669 18720 19050 19110 19404 19558 19600 19800 19812 20020 20160 20320 20384 20475 20592 20800 20955 21021 21336 21450 21560 21840 22050 22176 22225 22352 22860 22880 22932 23100 23114 23400 23520 24024 24255 24384 24640 24765 24892 25025 25146 25200 25400 25480 25740 25872 26208 26400 26416 26670 26950 27300 27456 27720 27940 28028 28224 28448 28575 28600 28665 29120 29337 29400 29718 30030 30480 30576 30800 31115 31200 31680 31850 32004 32032 32175 32340 32760 33020 33528 33600 34320 34496 34650 34671 34925 35035 35280 35560 36036 36322 36400 36576 36960 37338 37440 38100 38220 38808 39116 39200 39600 39624 40005 40040 40425 40640 40768 40950 41184 41275 41910 42042 42672 42900 43120 43680 44100 44352 44450 44704 45045 45720 45760 45864 46200 46228 46800 47040 47775 48048 48510 48895 49530 49784 50050 50292 50400 50800 50960 51480 51744 52416 52800 52832 53340 53900 54483 54600 55440 55880 56007 56056 56896 57150 57200 57330 57785 58674 58800 59436 60060 60960 61152 61600 62230 62400 62865 63063 63700 64008 64064 64350 64680 65520 66040 66675 67056 68453 68640 69300 69342 69850 70070 70560 71120 72072 72644 72800 73152 73920 74295 74676 75075 76200 76440 77616 78232 78400 79200 79248 80010 80080 80850 80899 81900 82368 82550 83820 84084 85344 85800 86240 87360 88011 88200 88900 89408 90090 90805 91440 91728 92400 92456 93345 93600 95550 96096 97020 97790 99060 99568 100100 100584 100800 101600 101920 102960 103488 104013 104775 105105 105664 106680 107800 108966 109200 110880 111760 112014 112112 114300 114400 114660 115570 117348 117600 118872 120120 121275 121920 122304 123200 123825 124460 125730 126126 127127 127400 128016 128700 129360 131040 132080 133350 134112 136906 137280 138600 138684 139700 140140 141120 142240 143325 144144 145288 145600 146685 148590 149352 150150 152400 152880 155232 155575 156464 158400 158496 160020 160160 161700 161798 163449 163800 165100 167640 168168 170688 171600 172480 173355 175175 176022 176400 177800 180180 181610 182880 183456 184800 184912 186690 187200 191100 192192 194040 195580 198120 199136 200025 200200 201168 203200 203840 205359 205920 208026 209550 210210 213360 215600 217932 218400 221760 223520 224028 224224 225225 228600 228800 229320 231140 234696 235200 237744 240240 242550 242697 244475 247650 248920 251460 252252 254254 254800 256032 257400 258720 262080 264160 266700 268224 272415 273812 277200 277368 279400 280035 280280 284480 286650 288288 288925 290576 293370 297180 298704 300300 304800 305760 310464 311150 312928 314325 315315 316992 320040 320320 323400 323596 326898 327600 330200 335280 336336 342265 343200 346710 350350 352044 352800 355600 360360 363220 365760 366912 369600 369824 371475 373380 381381 382200 388080 391160 396240 398272 400050 400400 402336 404495 410718 411840 416052 419100 420420 426720 431200 435864 436800 440055 447040 448056 448448 450450 454025 457200 458640 462280 466725 469392 475488 480480 485100 485394 488950 495300 497840 502920 504504 508508 509600 512064 514800 517440 520065 525525 528320 533400 544830 547624 554400 554736 558800 560070 560560 573300 576576 577850 581152 586740 594360 597408 600600 609600 611520 616077 622300 625856 628650 630630 635635 640080 646800 647192 653796 655200 660400 670560 672672 684530 686400 693420 700700 704088 705600 711200 720720 726440 728091 733425 739648 742950 746760 762762 764400 776160 782320 792480 800100 800800 804672 808990 817245 821436 832104 838200 840840 853440 862400 866775 871728 880110 889889 896112 900900 908050 914400 917280 924560 933450 938784 950976 960960 970200 970788 977900 990600 995680 1005840 1009008 1017016 1019200 1026795 1029600 1040130 1051050 1066800 1089660 1095248 1108800 1109472 1117600 1120140 1121120 1144143 1146600 1155700 1162304 1173480 1188720 1194816 1201200 1213485 1232154 1244600 1257300 1261260 1271270 1280160 1293600 1294384 1307592 1310400 1320800 1341120 1345344 1362075 1369060 1386840 1400175 1401400 1408176 1422400 1441440 1452880 1456182 1466850 1485900 1493520 1525524 1528800 1552320 1564640 1576575 1584960 1600200 1601600 1617980 1634490 1642872 1664208 1676400 1681680 1711325 1733550 1743456 1760220 1779778 1792224 1801800 1816100 1828800 1834560 1849120 1866900 1877568 1906905 1940400 1941576 1955800 1981200 1991360 2011680 2018016 2022475 2034032 2053590 2059200 2080260 2102100 2133600 2179320 2190496 2200275 2218944 2235200 2240280 2242240 2288286 2293200 2311400 2346960 2377440 2402400 2426970 2464308 2489200 2514600 2522520 2542540 2560320 2587200 2588768 2600325 2615184 2641600 2669667 2724150 2738120 2773680 2800350 2802800 2816352 2882880 2905760 2912364 2933700 2971800 2987040 3051048 3057600 3080385 3129280 3153150 3178175 3200400 3235960 3268980 3285744 3328416 3352800 3363360 3422650 3467100 3486912 3520440 3559556 3584448 3603600 3632200 3640455 3698240 3733800 3813810 3880800 3883152 3911600 3962400 4023360 4036032 4044950 4068064 4086225 4107180 4160520 4204200 4267200 4358640 4380992 4400550 4449445 4480560 4576572 4586400 4622800 4693920 4754880 4804800 4853940 4928616 4978400 5029200 5045040 5085080 5133975 5177536 5200650 5230368 5339334 5448300 5476240 5547360 5600700 5605600 5632704 5720715 5811520 5824728 5867400 5943600 5974080 6067425 6102096 6160770 6306300 6356350 6400800 6471920 6537960 6571488 6656832 6705600 6726720 6845300 6934200 7040880 7119112 7207200 7264400 7280910 7467600 7627620 7761600 7766304 7823200 7924800 8009001 8089900 8136128 8172450 8214360 8321040 8408400 8717280 8801100 8898890 8961120 9153144 9172800 9245600 9387840 9534525 9707880 9857232 9956800 10058400 10090080 10170160 10267950 10401300 10460736 10678668 10896600 10952480 11094720 11201400 11211200 11441430 11649456 11734800 11887200 12134850 12204192 12321540 12612600 12712700 12801600 12943840 13075920 13142976 13348335 13690600 13868400 14081760 14238224 14414400 14528800 14561820 14935200 15255240 15401925 15532608 15646400 16018002 16179800 16344900 16428720 16642080 16816800 17434560 17602200 17797780 17922240 18202275 18306288 18491200 19069050 19415760 19714464 20116800 20180160 20340320 20535900 20802600 21357336 21793200 21904960 22247225 22402800 22882860 23298912 23469600 23774400 24269700 24408384 24643080 25225200 25425400 25887680 26151840 26696670 27381200 27736800 28163520 28476448 28603575 29057600 29123640 29870400 30510480 30803850 32036004 32359600 32689800 32857440 33284160 33633600 35204400 35595560 36404550 36612576 38138100 38831520 39428928 40045005 40680640 41071800 41605200 42714672 43586400 44494450 44805600 45765720 46597824 46939200 48539400 49286160 50450400 50850800 52303680 53393340 54762400 55473600 56952896 57207150 58247280 61020960 61607700 64072008 64719200 65379600 65714880 66741675 70408800 71191120 72809100 73225152 76276200 77663040 80090010 82143600 83210400 85429344 87172800 88988900 89611200 91531440 97078800 98572320 100900800 101701600 106786680 109524800 114414300 116494560 122041920 123215400 128144016 129438400 130759200 133483350 140817600 142382240 145618200 152552400 160180020 164287200 166420800 170858688 177977800 183062880 194157600 197144640 200225025 203403200 213573360 228828600 232989120 246430800 256288032 261518400 266966700 284764480 291236400 305104800 320360040 328574400 355955600 366125760 388315200 400450050 427146720 457657200 492861600 512576064 533933400 582472800 610209600 640720080 711911200 800900100 854293440 915314400 985723200 1067866800 1164945600 1281440160 1423822400 1601800200 1830628800 2135733600 2562880320 3203600400 4271467200 6407200800 12814401600
• Sum of all divisors σ(n): 62733984768
• Sum of proper divisors (its aliquot sum) s(n): 49919583168
• 12814401600 is an abundant number, because the sum of its proper divisors (49919583168) is greater than itself. Its abundance is 37105181568

Bases of 12814401600

• Binary: 1011111011110011000100000001000000₂
• Hexadecimal: 0x2FBCC4040
• Base-36: 5VXD3K0

Squares and roots of 12814401600

• 12814401600 squared (12814401600²) is 164208888366082560000
• 12814401600 cubed (12814401600³) is 2104238641812549742596096000000
• The square root of 12814401600 is 113200.7137786683
• The cube root of 12814401600 is 2340.0911645395

Scales and comparisons

• 12,814,401,600 seconds is equal to 407 years, 23 weeks, 5 days, 20 hours.
• To count from 1 to 12,814,401,600 would take you about eight hundred fourteen 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 12814401600 cubic inches would be around 195 feet tall.

Recreational maths with 12814401600

• 12814401600 backwards is 00610441821
• The number of decimal digits it has is: 11
• The sum of 12814401600's digits is 27
• More coming soon!