145481824800

Names of 145481824800

• Cardinal: 145481824800 can be written as One hundred forty-five billion, four hundred eighty-one million, eight hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.454818248 × 10¹¹

Factors of 145481824800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 581

Divisors of 145481824800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 65 68 72 75 78 80 85 90 96 100 102 104 117 120 130 136 144 150 153 156 160 169 170 180 195 200 204 208 221 225 234 240 255 260 272 288 300 306 312 325 338 340 360 390 400 408 416 425 442 450 468 480 507 510 520 541 544 585 600 612 624 650 663 676 680 720 765 780 800 816 845 850 884 900 936 975 1014 1020 1040 1082 1105 1170 1200 1224 1248 1275 1300 1326 1352 1360 1440 1521 1530 1560 1623 1632 1690 1700 1768 1800 1872 1950 1989 2028 2040 2080 2164 2197 2210 2340 2400 2448 2535 2550 2600 2652 2704 2705 2720 2873 2925 3042 3060 3120 3246 3315 3380 3400 3536 3600 3744 3825 3900 3978 4056 4080 4225 4328 4394 4420 4680 4869 4896 5070 5100 5200 5304 5408 5410 5525 5746 5850 6084 6120 6240 6492 6591 6630 6760 6800 7033 7072 7200 7605 7650 7800 7956 8112 8115 8160 8450 8619 8656 8788 8840 9197 9360 9738 9945 10140 10200 10400 10608 10820 10985 11050 11492 11700 12168 12240 12675 12984 13182 13260 13520 13525 13600 14066 14365 15210 15300 15600 15912 16224 16230 16575 16900 17238 17312 17576 17680 18394 18720 19476 19773 19890 20280 20400 21099 21216 21640 21970 22100 22984 23400 24336 24345 24480 25350 25857 25968 26364 26520 27040 27050 27591 28132 28730 30420 30600 31200 31824 32460 32955 33150 33800 34476 35152 35165 35360 36788 37349 38025 38952 39546 39780 40560 40575 40800 42198 43095 43280 43940 44200 45968 45985 46800 48672 48690 49725 50700 51714 51936 52728 53040 54100 54925 55182 56264 57460 60840 61200 63297 63648 64920 65910 66300 67600 68952 70304 70330 71825 73576 74698 76050 77904 79092 79560 81120 81150 82773 84396 86190 86560 87880 88400 91429 91936 91970 93600 97380 98865 99450 101400 103428 105456 105495 106080 108200 109850 110364 112047 112528 114920 119561 121680 121725 122400 126594 129285 129840 131820 132600 135200 137904 137955 140660 143650 147152 149396 152100 155808 158184 159120 162300 164775 165546 168792 172380 175760 175825 176800 182858 183940 186745 194760 197730 198900 202800 206856 210912 210990 215475 216400 219700 220728 224094 225056 229840 229925 239122 243360 243450 253188 258570 259680 263640 265200 274287 275808 275910 281320 287300 294304 298792 304200 316368 316485 318240 324600 329550 331092 336141 337584 344760 351520 351650 358683 365716 367880 373490 389520 395460 397800 405600 413712 413865 421980 430950 432800 439400 441456 448188 457145 459680 459850 478244 486900 494325 506376 517140 527280 527475 530400 548574 551820 560235 562640 574600 597584 597805 608400 632736 632970 646425 649200 659100 662184 672282 675168 689520 689775 703300 717366 731432 735760 746980 779040 790920 795600 822861 827424 827730 843960 861900 878800 882912 896376 914290 919700 933725 956488 973800 988650 1012752 1034280 1054560 1054950 1076049 1097148 1103640 1120470 1125280 1149200 1188577 1195168 1195610 1216800 1265940 1292850 1298400 1318200 1324368 1344564 1371435 1379040 1379550 1406600 1434732 1462864 1471520 1493960 1554293 1581840 1582425 1591200 1645722 1655460 1680705 1687920 1723800 1757600 1792752 1793415 1828580 1839400 1867450 1912976 1947600 1977300 2025504 2068560 2069325 2109900 2152098 2194296 2207280 2240940 2285725 2298400 2377154 2391220 2531880 2585700 2636400 2648736 2689128 2742870 2759100 2801175 2813200 2869464 2925728 2987920 2989025 3108586 3163680 3164850 3291444 3310920 3361410 3375840 3447600 3565731 3585504 3586830 3657160 3678800 3734900 3825952 3895200 3954600 4114305 4137120 4138650 4219800 4304196 4388592 4414560 4481880 4571450 4662879 4754308 4782440 5063760 5171400 5272800 5378256 5380245 5485740 5518200 5602350 5626400 5738928 5942885 5975840 5978050 6217172 6329700 6582888 6621840 6722820 6857175 6895200 7131462 7173660 7314320 7357600 7469800 7771465 7909200 8228610 8277300 8403525 8439600 8608392 8777184 8963760 8967075 9142900 9325758 9508616 9564880 10127520 10342800 10697193 10756512 10760490 10971480 11036400 11204700 11477856 11885770 11956100 12434344 12659400 13165776 13243680 13445640 13714350 13988637 14262924 14347320 14628640 14939600 15542930 15818400 16457220 16554600 16807050 16879200 17216784 17828655 17927520 17934150 18285800 18651516 19017232 19129760 20205809 20571525 20685600 21394386 21520980 21942960 22072800 22409400 23314395 23771540 23912200 24868688 25318800 26331552 26891280 26901225 27428700 27977274 28525848 28694640 29714425 29879200 31085860 32914440 33109200 33614100 34433568 35657310 35868300 36571600 37303032 38034464 38857325 40411618 41143050 42788772 43041960 43885920 44818800 46628790 47543080 47824400 49737376 50637600 53485965 53782560 53802450 54857400 55954548 57051696 57389280 59428850 60617427 62171720 65828880 66218400 67228200 69943185 71314620 71736600 73143200 74606064 77714650 80823236 82286100 85577544 86083920 89143275 89637600 93257580 95086160 95648800 101029045 106971930 107604900 109714800 111909096 114103392 116571975 118857700 121234854 124343440 131657760 134456400 139886370 142629240 143473200 149212128 155429300 161646472 164572200 171155088 172167840 178286550 181852281 186515160 190172320 202058090 213943860 215209800 219429600 223818192 233143950 237715400 242469708 248686880 267429825 268912800 279772740 285258480 286946400 303087135 310858600 323292944 329144400 342310176 349715925 356573100 363704562 373030320 404116180 427887720 430419600 447636384 466287900 475430800 484939416 505145225 534859650 559545480 570516960 606174270 621717200 646585888 658288800 699431850 713146200 727409124 746060640 808232360 855775440 860839200 909261405 932575800 950861600 969878832 1010290450 1069719300 1119090960 1212348540 1243434400 1398863700 1426292400 1454818248 1515435675 1616464720 1711550880 1818522810 1865151600 1939757664 2020580900 2139438600 2238181920 2424697080 2797727400 2852584800 2909636496 3030871350 3232929440 3637045620 3730303200 4041161800 4278877200 4546307025 4849394160 5595454800 5819272992 6061742700 7274091240 8082323600 8557754400 9092614050 9698788320 11190909600 12123485400 14548182480 16164647200 18185228100 24246970800 29096364960 36370456200 48493941600 72740912400 145481824800
• Sum of all divisors σ(n): 589514299920
• Sum of proper divisors (its aliquot sum) s(n): 444032475120
• 145481824800 is an abundant number, because the sum of its proper divisors (444032475120) is greater than itself. Its abundance is 298550650320

Bases of 145481824800

• Binary: 10000111011111011001000111101000100000₂
• Hexadecimal: 0x21DF647A20
• Base-36: 1UU04EG0

Squares and roots of 145481824800

• 145481824800 squared (145481824800²) is 21164961347137895040000
• 145481824800 cubed (145481824800³) is 3079117198603087227650068992000000
• The square root of 145481824800 is 381420.7975451785
• The cube root of 145481824800 is 5259.4005398569

Scales and comparisons

• 145,481,824,800 seconds is equal to 4,625 years, 45 weeks, 2 days, 10 hours.
• To count from 1 to 145,481,824,800 would take you about nine thousand, two hundred fifty-one 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 145481824800 cubic inches would be around 438.3 feet tall.

Recreational maths with 145481824800

• 145481824800 backwards is 008428184541
• 145481824800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 145481824800's digits is 45
• More coming soon!