146555006400

Names of 146555006400

• Cardinal: 146555006400 can be written as One hundred forty-six billion, five hundred fifty-five million, six thousand, four hundred.

Scientific notation

• Scientific notation: 1.465550064 × 10¹¹

Factors of 146555006400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 97

Divisors of 146555006400

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 53 54 55 60 64 66 69 72 75 80 88 90 92 96 99 100 106 108 110 115 120 121 132 135 138 144 150 159 160 165 176 180 184 192 198 200 207 212 216 220 225 230 240 242 253 264 265 270 275 276 288 297 300 318 320 330 345 352 360 363 368 396 400 414 424 432 440 450 460 477 480 484 495 506 528 529 530 540 550 552 575 576 583 594 600 605 621 636 660 675 690 704 720 726 736 759 792 795 800 825 828 848 864 880 900 920 954 960 968 990 1012 1035 1056 1058 1060 1080 1089 1100 1104 1150 1166 1188 1200 1210 1219 1242 1265 1272 1320 1325 1350 1380 1431 1440 1452 1472 1485 1518 1584 1587 1590 1600 1650 1656 1696 1725 1728 1749 1760 1800 1815 1840 1908 1936 1980 2024 2070 2112 2116 2120 2160 2178 2200 2208 2277 2300 2332 2376 2385 2400 2420 2438 2475 2484 2530 2544 2640 2645 2650 2700 2760 2783 2862 2880 2904 2915 2970 3025 3036 3105 3168 3174 3180 3267 3300 3312 3392 3450 3498 3520 3600 3630 3657 3680 3795 3816 3872 3960 3975 4048 4140 4232 4240 4320 4356 4400 4416 4554 4600 4664 4752 4761 4770 4800 4840 4876 4950 4968 5060 5088 5175 5247 5280 5290 5300 5400 5445 5520 5566 5724 5808 5819 5830 5940 6050 6072 6095 6210 6325 6336 6348 6360 6413 6534 6600 6624 6831 6900 6996 7155 7200 7260 7314 7360 7425 7590 7632 7744 7920 7935 7950 8096 8280 8349 8464 8480 8640 8712 8745 8800 9075 9108 9200 9328 9504 9522 9540 9680 9752 9900 9936 10120 10176 10350 10494 10560 10580 10600 10800 10890 10971 11040 11132 11385 11448 11616 11638 11660 11880 11925 12100 12144 12190 12420 12650 12696 12720 12826 13068 13200 13225 13248 13409 13662 13800 13915 13992 14283 14310 14400 14520 14575 14628 14850 15180 15264 15525 15741 15840 15870 15900 16192 16335 16560 16698 16928 16960 17424 17457 17490 17600 18150 18216 18285 18400 18656 18975 19008 19044 19080 19239 19360 19504 19800 19872 20240 20700 20988 21160 21200 21600 21780 21942 22080 22264 22770 22896 23232 23276 23320 23760 23805 23850 24200 24288 24380 24840 25047 25300 25392 25440 25652 26136 26235 26400 26450 26818 27225 27324 27600 27830 27984 28037 28566 28620 29040 29095 29150 29256 29700 30360 30475 30528 31050 31482 31680 31740 31800 32065 32670 32913 33120 33396 33856 34155 34848 34914 34980 35775 36300 36432 36570 36800 37312 37950 38088 38160 38478 38720 39008 39600 39675 39744 40227 40480 41400 41745 41976 42320 42400 43200 43560 43725 43884 44528 45540 45792 46552 46640 47520 47610 47700 48400 48576 48760 49680 50094 50600 50784 50880 51304 52272 52371 52470 52800 52900 53636 54450 54648 54855 55200 55660 55968 56074 56925 57132 57240 57717 58080 58190 58300 58512 59400 60720 60950 62100 62964 63480 63600 64009 64130 65340 65826 66240 66792 67045 68310 69575 69696 69828 69960 71415 71550 72600 72864 73140 75141 75900 76176 76320 76956 78016 78705 79200 79350 80454 80960 81675 82800 83490 83952 84111 84640 84800 87120 87285 87450 87768 89056 91080 91425 91584 93104 93280 95040 95220 95400 96195 96800 97520 99360 100188 101200 101568 102608 104544 104742 104940 105800 107272 108900 109296 109710 110400 111320 111936 112148 113850 114264 114480 115434 116160 116380 116600 117024 118800 119025 120681 121440 121900 124200 125235 125928 126960 127200 128018 128260 130680 131175 131652 133584 134090 136620 139150 139656 139920 140185 142830 143100 145200 145475 145728 146280 147499 150282 151800 152352 152640 153912 157113 157410 158400 158700 160325 160908 163350 164565 165600 166980 167904 168222 169280 170775 173151 174240 174570 174900 175536 178112 182160 182850 186208 186560 190440 190800 192027 192390 193600 195040 198720 200376 201135 202400 205216 208725 209088 209484 209880 211600 214544 217800 218592 219420 222640 224296 227700 228528 228960 230868 232760 233200 234048 237600 238050 241362 242880 243800 248400 250470 251856 252333 253920 254400 256036 256520 261360 261855 262350 263304 267168 268180 273240 274275 278300 279312 279840 280370 285660 286200 288585 290400 290950 292560 294998 300564 303600 304704 307824 308407 314226 314820 317400 320045 320650 321816 326700 329130 331200 333960 335225 335808 336444 341550 346302 348480 349140 349800 351072 357075 362043 364320 365700 372416 375705 380880 381600 384054 384780 390080 393525 400752 402270 404800 410432 417450 418968 419760 420555 423200 429088 435600 436425 437184 438840 442497 445280 448592 455400 457056 457920 461736 465520 466400 475200 476100 480975 482724 487600 496800 500940 503712 504666 507840 512072 513040 522720 523710 524700 526608 534336 536360 546480 548550 556600 558624 559680 560740 571320 572400 576081 577170 580800 581900 585120 589996 601128 603405 607200 615648 616814 626175 628452 629640 634800 640090 641300 643632 653400 658260 667920 670450 672888 683100 692604 698280 699600 700925 702144 714150 724086 728640 731400 737495 751410 756999 761760 763200 768108 769560 785565 787050 801504 804540 822825 834900 837936 839520 841110 846400 858176 865755 871200 872850 877680 884994 890560 897184 910800 914112 923472 925221 931040 932800 952200 960135 961950 965448 975200 993600 1001880 1005675 1007424 1009332 1024144 1026080 1045440 1047420 1049400 1053216 1072720 1092960 1097100 1113200 1117248 1121480 1142640 1144800 1152162 1154340 1163800 1170240 1179992 1202256 1206810 1214400 1231296 1233628 1252350 1256904 1259280 1261665 1269600 1280180 1282600 1287264 1306800 1309275 1316520 1327491 1335840 1340900 1345776 1366200 1385208 1396560 1399200 1401850 1428300 1442925 1448172 1462800 1474990 1502820 1513998 1523520 1536216 1539120 1542035 1571130 1574100 1600225 1603008 1609080 1645650 1669800 1675872 1679040 1682220 1728243 1731510 1742400 1745700 1755360 1769988 1794368 1810215 1821600 1846944 1850442 1862080 1878525 1904400 1920270 1923900 1930896 1950400 2003760 2011350 2018664 2048288 2052160 2094840 2098800 2102775 2106432 2145440 2185920 2194200 2212485 2226400 2242960 2285280 2289600 2304324 2308680 2327600 2359984 2404512 2413620 2467256 2504700 2513808 2518560 2523330 2539200 2560360 2565200 2574528 2613600 2618550 2633040 2654982 2671680 2681800 2691552 2732400 2770416 2775663 2793120 2798400 2803700 2856600 2880405 2885850 2896344 2925600 2949980 3005640 3017025 3027996 3072432 3078240 3084070 3142260 3148200 3200450 3218160 3291300 3339600 3351744 3364440 3392477 3456486 3463020 3491400 3510720 3539976 3620430 3643200 3687475 3693888 3700884 3757050 3784995 3808800 3840540 3847800 3861792 3927825 3982473 4007520 4022700 4037328 4096576 4189680 4197600 4205550 4290880 4328775 4388400 4424970 4452800 4485920 4570560 4608648 4617360 4626105 4655200 4719968 4800675 4809024 4827240 4934512 5009400 5027616 5037120 5046660 5120720 5130400 5227200 5237100 5266080 5309964 5363600 5383104 5464800 5540832 5551326 5586240 5607400 5713200 5760810 5771700 5792688 5851200 5899960 6011280 6034050 6055992 6144864 6156480 6168140 6284520 6296400 6308325 6400900 6436320 6582600 6637455 6679200 6728880 6784954 6912972 6926040 6982800 7079952 7240860 7374950 7401768 7514100 7569990 7617600 7681080 7695600 7710175 7723584 7855650 7964946 8015040 8045400 8074656 8326989 8379360 8395200 8411100 8641215 8657550 8776800 8849940 8971840 9051075 9217296 9234720 9252210 9310400 9439936 9601350 9654480 9869024 10018800 10055232 10093320 10177431 10241440 10260800 10474200 10532160 10619928 10727200 10929600 11062425 11081664 11102652 11214800 11426400 11521620 11543400 11585376 11799920 12022560 12068100 12111984 12289728 12336280 12569040 12592800 12616650 12801800 12872640 13165200 13274910 13358400 13457760 13569908 13825944 13852080 13878315 13965600 14159904 14402025 14481720 14749900 14803536 15028200 15139980 15362160 15391200 15420350 15711300 15929892 16090800 16149312 16653978 16758720 16822200 16962385 17282430 17315100 17553600 17699880 18102150 18434592 18469440 18504420 18924975 19202700 19308960 19738048 19912365 20037600 20186640 20354862 20482880 20948400 21239856 21454400 22124850 22205304 22429600 22852800 23043240 23086800 23130525 23170752 23599840 24045120 24136200 24223968 24672560 25138080 25185600 25233300 25603600 26330400 26549820 26915520 27139816 27651888 27704160 27756630 27931200 28319808 28804050 28963440 29499800 29607072 30056400 30279960 30532293 30724320 30782400 30840700 31422600 31859784 32181600 33187275 33307956 33644400 33924770 34564860 34630200 35399760 36204300 36869184 37008840 37849950 38405400 38617920 39824730 40075200 40373280 40709724 41634945 41896800 42479712 43206075 44249700 44410608 44859200 46086480 46173600 46261050 47199680 48272400 48447936 49345120 50276160 50466600 50887155 51207200 52660800 53099640 54279632 55303776 55408320 55513260 57608100 57926880 58999600 59214144 60112800 60559920 61064586 61448640 61681400 62845200 63719568 64363200 66374550 66615912 67288800 67849540 69129720 69260400 69391575 70799520 72408600 74017680 75699900 76810800 79649460 80746560 81419448 83269890 83793600 84811925 84959424 86412150 88499400 88821216 91596879 92172960 92347200 92522100 96544800 98690240 99561825 100933200 101774310 102414400 106199280 108559264 110607552 111026520 115216200 115853760 117999200 120225600 121119840 122129172 123362800 125690400 127439136 132749100 133231824 134577600 135699080 138259440 138520800 138783150 141599040 144817200 148035360 151399800 152661465 153621600 159298920 162838896 166539780 169623850 172824300 176998800 177642432 183193758 184345920 185044200 193089600 199123650 201866400 203548620 208174725 212398560 217118528 222053040 230432400 235998400 242239680 244258344 246725600 251380800 254435775 254878272 265498200 266463648 271398160 276518880 277041600 277566300 289634400 296070720 302799600 305322930 307243200 318597840 325677792 333079560 339247700 345648600 353997600 366387516 370088400 398247300 403732800 407097240 416349450 424797120 444106080 457984395 460864800 488516688 493451200 508871550 530996400 532927296 542796320 553037760 555132600 579268800 605599200 610645860 637195680 651355584 666159120 678495400 691297200 707995200 732775032 740176800 763307325 796494600 814194480 832698900 888212160 915968790 921729600 977033376 1017743100 1061992800 1085592640 1110265200 1211198400 1221291720 1274391360 1332318240 1356990800 1382594400 1465550064 1480353600 1526614650 1592989200 1628388960 1665397800 1831937580 1954066752 2035486200 2123985600 2220530400 2289921975 2442583440 2664636480 2713981600 2765188800 2931100128 3053229300 3185978400 3256777920 3330795600 3663875160 4070972400 4441060800 4579843950 4885166880 5427963200 5862200256 6106458600 6371956800 6661591200 7327750320 8141944800 9159687900 9770333760 12212917200 13323182400 14655500640 16283889600 18319375800 24425834400 29311001280 36638751600 48851668800 73277503200 146555006400
• Sum of all divisors σ(n): 625454812080
• Sum of proper divisors (its aliquot sum) s(n): 478899805680
• 146555006400 is an abundant number, because the sum of its proper divisors (478899805680) is greater than itself. Its abundance is 332344799280

Bases of 146555006400

• Binary: 10001000011111010110111110110111000000₂
• Hexadecimal: 0x221F5BEDC0
• Base-36: 1VBR2EO0

Squares and roots of 146555006400

• 146555006400 squared (146555006400²) is 21478369900904040960000
• 146555006400 cubed (146555006400³) is 3147762638288559088678662144000000
• The square root of 146555006400 is 382825.0336642055
• The cube root of 146555006400 is 5272.3012800223

Scales and comparisons

• 146,555,006,400 seconds is equal to 4,659 years, 51 weeks, 5 days, 12 hours.
• To count from 1 to 146,555,006,400 would take you about nine thousand, three hundred nineteen 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 146555006400 cubic inches would be around 439.4 feet tall.

Recreational maths with 146555006400

• 146555006400 backwards is 004600555641
• 146555006400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146555006400's digits is 36
• More coming soon!