146381800320

Names of 146381800320

• Cardinal: 146381800320 can be written as One hundred forty-six billion, three hundred eighty-one million, eight hundred thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.4638180032 × 10¹¹

Factors of 146381800320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 373

Divisors of 146381800320

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 49 54 56 57 60 63 64 70 72 76 80 81 84 90 95 96 98 105 108 112 114 120 126 128 133 135 140 144 147 152 160 162 168 171 180 189 190 192 196 210 216 224 228 240 243 245 252 266 270 280 285 288 294 304 315 320 324 336 337 342 360 378 380 384 392 399 405 420 432 441 448 456 480 486 490 504 513 532 540 560 567 570 576 588 608 630 640 648 665 672 674 684 720 729 735 756 760 784 798 810 840 855 864 882 896 912 931 945 960 972 980 1008 1011 1026 1064 1080 1120 1134 1140 1152 1176 1197 1215 1216 1260 1296 1323 1330 1344 1348 1368 1440 1458 1470 1512 1520 1539 1568 1596 1620 1680 1685 1701 1710 1728 1764 1824 1862 1890 1920 1944 1960 1995 2016 2022 2052 2128 2160 2205 2240 2268 2280 2352 2359 2394 2430 2432 2520 2565 2592 2646 2660 2688 2696 2736 2793 2835 2880 2916 2940 3024 3033 3040 3078 3136 3192 3240 3360 3370 3402 3420 3456 3528 3591 3645 3648 3724 3780 3888 3920 3969 3990 4032 4044 4104 4256 4320 4410 4480 4536 4560 4617 4655 4704 4718 4788 4860 5040 5055 5103 5130 5184 5292 5320 5392 5472 5586 5670 5760 5832 5880 5985 6048 6066 6080 6156 6272 6384 6403 6480 6615 6720 6740 6804 6840 7056 7077 7182 7290 7296 7448 7560 7695 7776 7840 7938 7980 8064 8088 8208 8379 8505 8512 8640 8820 9072 9099 9120 9234 9310 9408 9436 9576 9720 10080 10110 10206 10260 10368 10584 10640 10773 10784 10944 11172 11340 11664 11760 11795 11907 11970 12096 12132 12160 12312 12768 12806 12960 13230 13440 13480 13608 13680 13851 13965 14112 14154 14364 14580 14896 15120 15165 15390 15552 15680 15876 15960 16176 16416 16513 16758 17010 17024 17280 17640 17955 18144 18198 18240 18468 18620 18816 18872 19152 19209 19440 19845 20160 20220 20412 20520 21168 21231 21280 21546 21568 21888 22344 22680 23085 23328 23520 23590 23814 23940 24192 24264 24624 25137 25515 25536 25612 25920 26460 26960 27216 27297 27360 27702 27930 28224 28308 28728 29160 29792 30240 30330 30780 31104 31360 31752 31920 32015 32319 32352 32832 33026 33516 34020 35280 35385 35721 35910 36288 36396 36480 36936 37240 37744 38304 38418 38880 39690 40320 40440 40824 41040 41895 42336 42462 42560 43092 43136 44688 44821 45360 45495 46170 46656 47040 47180 47628 47880 48528 49248 49539 50274 51030 51072 51224 51840 52920 53865 53920 54432 54594 54720 55404 55860 56448 56616 57456 57627 58320 59535 59584 60480 60660 61560 63504 63693 63840 64030 64638 64704 65664 66052 67032 68040 69255 70560 70770 71442 71820 72576 72792 73872 74480 75411 75488 76608 76836 77760 79380 80880 81648 81891 82080 82565 83790 84672 84924 85120 86184 89376 89642 90720 90990 92340 93312 94080 94360 95256 95760 96045 96957 97056 98496 99078 100548 102060 102448 105840 106155 107730 107840 108864 109188 109440 110808 111720 113232 114912 115254 116640 119070 119168 120960 121320 123120 125685 127008 127386 127680 128060 129276 129408 132104 134064 134463 136080 136485 138510 141120 141540 142884 143640 145584 147744 148617 148960 150822 150976 153216 153672 155520 158760 161595 161760 163296 163782 164160 165130 167580 169344 169848 172368 172881 178605 178752 179284 181440 181980 184680 188720 190512 191079 191520 192090 193914 194112 196992 198156 201096 204120 204896 211680 212310 215460 215680 217728 218376 221616 223440 224105 226233 226464 229824 230508 233280 238140 242640 245673 246240 247695 251370 254016 254772 255360 256120 258552 264208 268128 268926 272160 272970 277020 282240 283080 285768 287280 288135 291168 295488 297234 297920 301644 301952 307344 313747 317520 318465 323190 323520 326592 327564 328320 330260 335160 339696 344736 345762 357210 357504 358568 362880 363960 369360 377055 377440 381024 382158 383040 384180 387828 388224 396312 402192 403389 408240 409455 409792 423360 424620 430920 436752 443232 445851 446880 448210 452466 452928 459648 461016 466560 476280 484785 485280 491346 492480 495390 502740 508032 509544 512240 517104 518643 528416 536256 537852 544320 545940 554040 566160 571536 573237 574560 576270 582336 590976 594468 595840 603288 614688 627494 635040 636930 646380 647040 653184 655128 660520 670320 672315 678699 679392 689472 691524 714420 717136 727920 738720 743085 754110 754880 762048 764316 766080 768360 775656 792624 804384 806778 816480 818910 819584 846720 849240 861840 864405 873504 886464 891702 893760 896420 904932 905856 922032 941241 952560 955395 969570 970560 982692 984960 990780 1005480 1019088 1024480 1034208 1037286 1056832 1072512 1075704 1088640 1091880 1108080 1131165 1132320 1143072 1146474 1149120 1152540 1164672 1188936 1206576 1210167 1228365 1229376 1254988 1270080 1273860 1292760 1310256 1321040 1337553 1340640 1344630 1357398 1358784 1378944 1383048 1428840 1434272 1455840 1477440 1486170 1508220 1509760 1524096 1528632 1536720 1551312 1555929 1568735 1585248 1608768 1613556 1632960 1637820 1698480 1719711 1723680 1728810 1747008 1772928 1783404 1787520 1792840 1809864 1844064 1882482 1905120 1910790 1939140 1941120 1965384 1981560 2010960 2016945 2038176 2048960 2068416 2074572 2113664 2151408 2183760 2216160 2229255 2262330 2264640 2286144 2292948 2298240 2305080 2377872 2413152 2420334 2456730 2458752 2509976 2540160 2547720 2585520 2593215 2620512 2642080 2675106 2681280 2689260 2714796 2717568 2766096 2823723 2857680 2866185 2868544 2911680 2954880 2972340 3016440 3057264 3073440 3102624 3111858 3137470 3170496 3217536 3227112 3265920 3275640 3393495 3396960 3439422 3447360 3457620 3494016 3566808 3585680 3619728 3630501 3688128 3764964 3810240 3821580 3878280 3930768 3963120 4012659 4021920 4033890 4076352 4097920 4136832 4149144 4302816 4367520 4432320 4458510 4524660 4529280 4572288 4585896 4610160 4667787 4706205 4755744 4826304 4840668 4913460 5019952 5095440 5171040 5186430 5241024 5284160 5350212 5362560 5378520 5429592 5532192 5647446 5715360 5732370 5737088 5823360 5944680 6032880 6050835 6114528 6146880 6205248 6223716 6274940 6340992 6454224 6551280 6687765 6786990 6793920 6878844 6894720 6915240 7133616 7171360 7239456 7261002 7376256 7529928 7620480 7643160 7756560 7779645 7861536 7926240 8025318 8043840 8067780 8152704 8298288 8471169 8598555 8605632 8735040 8864640 8917020 9049320 9171792 9220320 9335574 9412410 9511488 9652608 9681336 9826920 10039904 10190880 10342080 10372860 10482048 10568320 10700424 10757040 10859184 10891503 11064384 11294892 11430720 11464740 11889360 12037977 12065760 12101670 12229056 12293760 12410496 12447432 12549880 12908448 13102560 13375530 13573980 13587840 13757688 13830480 14118615 14267232 14342720 14478912 14522004 15059856 15286320 15513120 15559290 15723072 15852480 16050636 16087680 16135560 16596576 16942338 17197110 17211264 17470080 17834040 18098640 18152505 18343584 18440640 18671148 18824820 19022976 19362672 19653840 20063295 20079808 20381760 20684160 20745720 21400848 21514080 21718368 21783006 22128768 22589784 22861440 22929480 23338935 23778720 24075954 24131520 24203340 24458112 24894864 25099760 25413507 25816896 26205120 26751060 27147960 27515376 27660960 28237230 28534464 28685440 28957824 29044008 30119712 30572640 31026240 31118580 31446144 31704960 32101272 32271120 32674509 33193152 33884676 34394220 35668080 36197280 36305010 36687168 36881280 37342296 37649640 38725344 39307680 40126590 40159616 40763520 41491440 42355845 42801696 43028160 43436736 43566012 45179568 45858960 46677870 47557440 48151908 48263040 48406680 49789728 50199520 50827014 51633792 52410240 53502120 54295920 54457515 55030752 55321920 56474460 57068928 58088016 60189885 60239424 61145280 62052480 62237160 64202544 64542240 65349018 66386304 67769352 68788440 71336160 72394560 72610020 73374336 74684592 75299280 76240521 77450688 78615360 80253180 82982880 84711690 85603392 86056320 86873472 87132024 90359136 91717920 93355740 95114880 96303816 96813360 99579456 100399040 101654028 107004240 108591840 108915030 110061504 110643840 112948920 116176032 120379770 120478848 122290560 124474320 127067535 128405088 129084480 130698036 135538704 137576880 142672320 144789120 145220040 149369184 150598560 152481042 154901376 157230720 160506360 163372545 165965760 169423380 171206784 174264048 180718272 183435840 186711480 192607632 193626720 199158912 200798080 203308056 214008480 217183680 217830060 220123008 225897840 228721563 232352064 240759540 248948640 254135070 256810176 258168960 261396072 271077408 275153760 285344640 290440080 298738368 301197120 304962084 321012720 326745090 331931520 338846760 348528096 361436544 366871680 373422960 381202605 385215264 387253440 406616112 428016960 434367360 435660120 451795680 457443126 464704128 481519080 497897280 508270140 513620352 522792144 542154816 550307520 580880160 597476736 602394240 609924168 642025440 653490180 677693520 697056192 746845920 762405210 770430528 774506880 813232224 856033920 871320240 903591360 914886252 963038160 995794560 1016540280 1045584288 1084309632 1100615040 1143607815 1161760320 1219848336 1284050880 1306980360 1355387040 1394112384 1493691840 1524810420 1540861056 1626464448 1742640480 1807182720 1829772504 1926076320 2033080560 2091168576 2287215630 2323520640 2439696672 2568101760 2613960720 2710774080 2987383680 3049620840 3252928896 3485280960 3659545008 3852152640 4066161120 4182337152 4574431260 4879393344 5227921440 5421548160 6099241680 6970561920 7319090016 7704305280 8132322240 9148862520 9758786688 10455842880 12198483360 14638180032 16264644480 18297725040 20911685760 24396966720 29276360064 36595450080 48793933440 73190900160 146381800320
• Sum of all divisors σ(n): 644366782800
• Sum of proper divisors (its aliquot sum) s(n): 497984982480
• 146381800320 is an abundant number, because the sum of its proper divisors (497984982480) is greater than itself. Its abundance is 351603182160

Bases of 146381800320

• Binary: 10001000010101000010010000001110000000₂
• Hexadecimal: 0x2215090380
• Base-36: 1V8VY000

Squares and roots of 146381800320

• 146381800320 squared (146381800320²) is 21427631464924352102400
• 146381800320 cubed (146381800320³) is 3136615270429105593358888992768000
• The square root of 146381800320 is 382598.7458421681
• The cube root of 146381800320 is 5270.2234376039

Scales and comparisons

• 146,381,800,320 seconds is equal to 4,654 years, 25 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 146,381,800,320 would take you about nine thousand, three hundred 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 146381800320 cubic inches would be around 439.2 feet tall.

Recreational maths with 146381800320

• 146381800320 backwards is 023008183641
• 146381800320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146381800320's digits is 36
• More coming soon!