146968012800

Names of 146968012800

• Cardinal: 146968012800 can be written as One hundred forty-six billion, nine hundred sixty-eight million, twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.469680128 × 10¹¹

Factors of 146968012800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 323

Divisors of 146968012800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 42 45 46 48 49 50 56 60 63 64 69 70 72 75 80 84 90 92 96 98 100 105 112 115 120 126 128 138 140 144 147 150 160 161 168 175 180 184 192 196 200 207 210 224 225 230 240 245 252 256 276 280 283 288 294 300 315 320 322 336 345 350 360 368 384 392 400 414 420 441 448 450 460 480 483 490 504 512 525 552 560 566 575 576 588 600 630 640 644 672 690 700 720 735 736 768 784 800 805 828 840 849 882 896 900 920 960 966 980 1008 1024 1035 1050 1104 1120 1127 1132 1150 1152 1176 1200 1225 1260 1280 1288 1344 1380 1400 1415 1440 1449 1470 1472 1536 1568 1575 1600 1610 1656 1680 1698 1725 1764 1792 1800 1840 1920 1932 1960 1981 2016 2048 2070 2100 2205 2208 2240 2254 2264 2300 2304 2352 2400 2415 2450 2520 2547 2560 2576 2688 2760 2800 2830 2880 2898 2940 2944 3072 3136 3150 3200 3220 3312 3360 3381 3396 3450 3528 3584 3600 3675 3680 3840 3864 3920 3962 4025 4032 4140 4200 4245 4410 4416 4480 4508 4528 4600 4608 4704 4800 4830 4900 5040 5094 5120 5152 5175 5376 5520 5600 5635 5660 5760 5796 5880 5888 5943 6144 6272 6300 6400 6440 6509 6624 6720 6762 6792 6900 7056 7075 7168 7200 7245 7350 7360 7680 7728 7840 7924 8050 8064 8280 8400 8490 8820 8832 8960 9016 9056 9200 9216 9408 9600 9660 9800 9905 10080 10143 10188 10240 10304 10350 10752 11025 11040 11200 11270 11320 11520 11592 11760 11776 11886 12075 12544 12600 12735 12800 12880 13018 13248 13440 13524 13584 13800 13867 14112 14150 14336 14400 14490 14700 14720 15360 15456 15680 15848 16100 16128 16560 16800 16905 16980 17640 17664 17829 17920 18032 18112 18400 18432 18816 19200 19320 19527 19600 19810 20160 20286 20376 20608 20700 21225 21504 22050 22080 22400 22540 22640 23040 23184 23520 23552 23772 24150 25088 25200 25470 25600 25760 26036 26496 26880 27048 27168 27600 27734 28175 28224 28300 28800 28980 29400 29440 29715 30720 30912 31360 31696 32200 32256 32545 33120 33600 33810 33960 35280 35328 35658 35840 36064 36224 36225 36800 37632 38400 38640 39054 39200 39620 40320 40572 40752 41216 41400 41601 42450 43008 44100 44160 44800 45080 45280 45563 46080 46368 47040 47104 47544 48300 49525 50176 50400 50715 50940 51200 51520 52072 52992 53760 54096 54336 55200 55468 56350 56448 56600 57600 57960 58581 58800 58880 59430 61824 62720 63392 63675 64400 64512 65090 66240 67200 67620 67920 69335 70560 70656 71316 71680 72128 72448 72450 73600 75264 76800 77280 78108 78400 79240 80640 81144 81504 82432 82800 83202 84525 84900 88200 88320 89145 89600 90160 90560 91126 92160 92736 94080 95088 96600 97635 99050 100352 100800 101430 101880 103040 104144 105984 107520 108192 108672 110400 110936 112700 112896 113200 115200 115920 117162 117600 117760 118860 123648 124803 125440 126784 127350 128800 129024 130180 132480 134400 135240 135840 136689 138670 141120 141312 142632 144256 144896 144900 147200 148575 150528 153600 154560 156216 156800 158480 161280 162288 162725 163008 164864 165600 166404 169050 169800 176400 176640 178290 179200 180320 181120 182252 185472 188160 190176 193200 195270 198100 201600 202860 203760 206080 208005 208288 211968 215040 216384 217344 220800 221872 225400 225792 226400 227815 230400 231840 234324 235200 235520 237720 247296 249606 250880 253568 253575 254700 257600 260360 264960 268800 270480 271680 273378 277340 282240 285264 288512 289792 289800 292905 294400 297150 301056 309120 312432 313600 316960 318941 322560 324576 325450 326016 329728 331200 332808 338100 339600 346675 352800 353280 356580 358400 360640 362240 364504 370944 376320 380352 386400 390540 396200 403200 405720 407520 410067 412160 416010 416576 423936 432768 434688 441600 443744 445725 450800 451584 452800 455630 460800 463680 468648 470400 475440 488175 494592 499212 501760 507136 507150 509400 515200 520720 529920 537600 540960 543360 546756 554680 564480 570528 577024 579584 579600 585810 588800 594300 618240 624015 624864 627200 633920 637882 645120 649152 650900 652032 662400 665616 676200 679200 683445 693350 705600 706560 713160 721280 724480 729008 741888 752640 760704 772800 781080 792400 806400 811440 815040 820134 824320 832020 833152 865536 869376 883200 887488 891450 901600 903168 905600 911260 927360 937296 940800 950880 956823 976350 989184 998424 1014272 1014300 1018800 1030400 1040025 1041440 1059840 1075200 1081920 1086720 1093512 1109360 1128960 1139075 1141056 1154048 1159200 1171620 1177600 1188600 1236480 1248030 1249728 1254400 1267840 1275764 1298304 1301800 1304064 1324800 1331232 1352400 1358400 1366890 1386700 1411200 1426320 1442560 1448960 1458016 1464525 1483776 1505280 1521408 1545600 1562160 1584800 1594705 1612800 1622880 1630080 1640268 1648640 1664040 1666304 1731072 1738752 1766400 1774976 1782900 1803200 1811200 1822520 1854720 1874592 1881600 1901760 1913646 1952700 1996848 2028544 2028600 2037600 2050335 2060800 2080050 2082880 2119680 2163840 2173440 2187024 2218720 2257920 2278150 2282112 2308096 2318400 2343240 2377200 2472960 2496060 2499456 2508800 2535680 2551528 2596608 2603600 2608128 2649600 2662464 2704800 2716800 2733780 2773400 2822400 2852640 2870469 2885120 2897920 2916032 2929050 2967552 3042816 3091200 3120075 3124320 3169600 3189410 3225600 3245760 3260160 3280536 3328080 3332608 3417225 3462144 3532800 3549952 3565800 3606400 3622400 3645040 3709440 3749184 3763200 3803520 3827292 3905400 3993696 4057088 4057200 4075200 4100670 4121600 4160100 4165760 4327680 4346880 4374048 4437440 4515840 4556300 4564224 4636800 4686480 4754400 4784115 4945920 4992120 4998912 5071360 5103056 5193216 5207200 5216256 5299200 5324928 5409600 5433600 5467560 5546800 5644800 5705280 5740938 5770240 5832064 5858100 6085632 6182400 6240150 6248640 6339200 6378820 6491520 6520320 6561072 6656160 6665216 6834450 6924288 7099904 7131600 7212800 7244800 7290080 7418880 7498368 7526400 7607040 7654584 7810800 7973525 7987392 8114400 8150400 8201340 8243200 8320200 8331520 8655360 8693760 8748096 8874880 9112600 9128448 9273600 9372960 9508800 9568230 9984240 9997824 10142720 10206112 10251675 10386432 10414400 10598400 10649856 10819200 10867200 10935120 11093600 11289600 11410560 11481876 11540480 11664128 11716200 12171264 12364800 12480300 12497280 12678400 12757640 12983040 13040640 13122144 13312320 13330432 13668900 14199808 14263200 14352345 14425600 14489600 14580160 14837760 14996736 15214080 15309168 15621600 15947050 15974784 16228800 16300800 16402680 16640400 16663040 17310720 17496192 17749760 18225200 18256896 18547200 18745920 19017600 19136460 19968480 19995648 20285440 20412224 20503350 20772864 20828800 21299712 21638400 21734400 21870240 22187200 22579200 22821120 22963752 23328256 23432400 23920575 24729600 24960600 24994560 25356800 25515280 25966080 26081280 26244288 26624640 27337800 28399616 28526400 28704690 28851200 29160320 29993472 30428160 30618336 31243200 31894100 31949568 32457600 32601600 32805360 33280800 33326080 34621440 34992384 35499520 36450400 36513792 37094400 37491840 38035200 38272920 39936960 39991296 40824448 41006700 41657600 42599424 43276800 43468800 43740480 44374400 45642240 45927504 46656512 46864800 47841150 49921200 49989120 50713600 51030560 51932160 52488576 53249280 54675600 57052800 57409380 57702400 58320640 59986944 60856320 61236672 62486400 63788200 63899136 64915200 65203200 65610720 66561600 66652160 69984768 70999040 71761725 72900800 74188800 74983680 76070400 76545840 79873920 81648896 82013400 83315200 85198848 86553600 87480960 88748800 91284480 91855008 93313024 93729600 95682300 99842400 99978240 101427200 102061120 103864320 104977152 106498560 109351200 114105600 114818760 116641280 119973888 122473344 124972800 127576400 127798272 129830400 130406400 131221440 133123200 139969536 141998080 143523450 145801600 149967360 152140800 153091680 159747840 163297792 164026800 166630400 173107200 174961920 177497600 182568960 183710016 187459200 191364600 199684800 199956480 204122240 209954304 212997120 218702400 228211200 229637520 233282560 244946688 249945600 255152800 255596544 259660800 262442880 266246400 279939072 287046900 291603200 299934720 304281600 306183360 319495680 326595584 328053600 333260800 349923840 354995200 367420032 374918400 382729200 399369600 408244480 419908608 425994240 437404800 456422400 459275040 466565120 489893376 499891200 510305600 519321600 524885760 532492800 574093800 583206400 599869440 612366720 638991360 653191168 656107200 699847680 709990400 734840064 749836800 765458400 798739200 816488960 839817216 874809600 912844800 918550080 979786752 999782400 1020611200 1049771520 1064985600 1148187600 1166412800 1224733440 1277982720 1312214400 1399695360 1469680128 1499673600 1530916800 1597478400 1632977920 1749619200 1837100160 1959573504 2041222400 2099543040 2129971200 2296375200 2332825600 2449466880 2624428800 2939360256 2999347200 3061833600 3194956800 3265955840 3499238400 3674200320 4082444800 4199086080 4592750400 4898933760 5248857600 5878720512 6123667200 6389913600 6998476800 7348400640 8164889600 9185500800 9797867520 10497715200 12247334400 14696801280 16329779200 18371001600 20995430400 24494668800 29393602560 36742003200 48989337600 73484006400 146968012800
• Sum of all divisors σ(n): 641155525920
• Sum of proper divisors (its aliquot sum) s(n): 494187513120
• 146968012800 is an abundant number, because the sum of its proper divisors (494187513120) is greater than itself. Its abundance is 347219500320

Bases of 146968012800

• Binary: 10001000110111111110011110100000000000₂
• Hexadecimal: 0x2237F9E800
• Base-36: 1VIKYKG0

Squares and roots of 146968012800

• 146968012800 squared (146968012800²) is 21599596786380963840000
• 146968012800 cubed (146968012800³) is 3174449816975676359313457152000000
• The square root of 146968012800 is 383364.0734341181
• The cube root of 146968012800 is 5277.2492558873

Scales and comparisons

• 146,968,012,800 seconds is equal to 4,673 years, 6 weeks, 4 days, 16 hours.
• To count from 1 to 146,968,012,800 would take you about nine thousand, three 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 146968012800 cubic inches would be around 439.8 feet tall.

Recreational maths with 146968012800

• 146968012800 backwards is 008210869641
• 146968012800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146968012800's digits is 45
• More coming soon!