145828220990400

Names of 145828220990400

• Cardinal: 145828220990400 can be written as One hundred forty-five trillion, eight hundred twenty-eight billion, two hundred twenty million, nine hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 1.458282209904 × 10¹⁴

Factors of 145828220990400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 20207

Divisors of 145828220990400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 169 180 192 195 200 208 225 234 240 260 288 300 312 320 325 338 360 390 400 416 450 468 480 507 520 576 585 600 624 650 676 720 780 800 832 845 900 936 960 975 1014 1040 1170 1200 1248 1300 1352 1440 1521 1560 1600 1690 1800 1872 1950 2028 2080 2340 2400 2496 2535 2600 2704 2880 2925 3042 3120 3380 3600 3617 3744 3900 4056 4160 4225 4680 4800 5070 5200 5408 5850 6084 6240 6760 7200 7234 7488 7605 7800 8112 8450 9360 10140 10400 10816 10851 11700 12168 12480 12675 13520 14400 14468 15210 15600 16224 16567 16900 18085 18720 20280 20800 21702 23400 24336 25350 27040 28936 30420 31200 32448 32553 33134 33800 36170 37440 38025 40560 43404 46800 47021 48672 49701 50700 54080 54255 57872 60840 62400 65106 66268 67600 72340 76050 81120 82835 86808 90425 93600 94042 97344 99402 101400 108510 115744 121680 130212 132536 135200 141063 144680 149103 152100 162240 162765 165670 173616 180850 187200 188084 198804 202800 215371 217020 231488 235105 243360 248505 260424 265072 270400 271275 282126 289360 298206 304200 325530 331340 347232 361700 376168 397608 405600 414175 423189 430742 434040 470210 486720 497010 520848 530144 542550 564252 578720 596412 608400 611273 646113 651060 662680 694464 705315 723400 745515 752336 795216 811200 813825 828350 846378 861484 868080 940420 994020 1041696 1060288 1076855 1085100 1128504 1157440 1175525 1192824 1216800 1222546 1242525 1292226 1302120 1325360 1410630 1446800 1491030 1504672 1590432 1627650 1656700 1692756 1722968 1736160 1833819 1880840 1938339 1988040 2083392 2115945 2153710 2170200 2257008 2351050 2385648 2433600 2445092 2485050 2584452 2604240 2650720 2799823 2821260 2893600 2982060 3009344 3056365 3180864 3230565 3255300 3313400 3385512 3445936 3472320 3526575 3667638 3727575 3761680 3876678 3976080 4231890 4307420 4340400 4514016 4702100 4771296 4890184 4970100 5168904 5208480 5301440 5384275 5501457 5599646 5642520 5787200 5964120 6112730 6461130 6510600 6626800 6771024 6891872 7053150 7335276 7455150 7523360 7753356 7952160 8399469 8463780 8614840 8680800 9028032 9169095 9404200 9542592 9691695 9780368 9940200 10337808 10416960 10579725 10768550 11002914 11199292 11285040 11928240 12225460 12922260 13021200 13253600 13542048 13783744 13999115 14106300 14670552 14910300 15046720 15281825 15506712 15904320 16152825 16798938 16927560 17229680 17361600 18338190 18808400 19383390 19560736 19880400 20675616 21159450 21537100 22005828 22398584 22570080 23856480 24450920 25198407 25844520 26042400 26507200 27084096 27507285 27998230 28212600 29341104 29820600 30563650 31013424 32305650 33597876 33855120 34459360 36676380 37616800 38766780 39121472 39760800 41351232 41997345 42318900 43074200 44011656 44797168 45140160 45845475 47712960 48458475 48901840 50396814 51689040 52084800 55014570 55996460 56425200 58682208 59641200 59922839 61127300 62026848 64611300 67195752 67710240 68918720 69995575 73352760 75233600 77533560 79521600 83994690 84637800 86148400 88023312 89594336 91690950 96916950 97803680 100793628 103378080 110029140 111992920 112850400 117364416 119282400 119845678 122254600 124053696 125992035 129222600 134391504 135420480 137536425 139991150 146705520 155067120 167989380 169275600 172296800 176046624 179188672 179768517 183381900 193833900 195607360 201587256 206756160 209986725 220058280 223985840 225700800 238564800 239691356 244509200 251984070 258445200 268783008 275072850 279982300 293411040 299614195 310134240 335978760 338551200 344593600 352093248 359537034 366763800 387667800 403174512 419973450 440116560 447971680 479382712 489018400 503968140 516890400 537566016 539305551 550145700 559964600 586822080 599228390 620268480 629960175 671957520 677102400 719074068 733527600 775335600 778996907 806349024 839946900 880233120 895943360 898842585 958765424 978036800 1007936280 1033780800 1078611102 1100291400 1119929200 1198456780 1259920350 1343915040 1438148136 1467055200 1498070975 1550671200 1557993814 1612698048 1679893800 1760466240 1797685170 1917530848 2015872560 2157222204 2200582800 2239858400 2336990721 2396913560 2519840700 2687830080 2696527755 2876296272 2934110400 2996141950 3101342400 3115987628 3359787600 3595370340 3835061696 3894984535 4031745120 4314444408 4401165600 4479716800 4494212925 4673981442 4793827120 5039681400 5393055510 5752592544 5992283900 6231975256 6719575200 7010972163 7190740680 7789969070 8063490240 8628888816 8802331200 8988425850 9347962884 9587654240 10079362800 10126959791 10786111020 11505185088 11684953605 11984567800 12463950512 13439150400 13482638775 14021944326 14381481360 15579938140 17257777632 17976851700 18695925768 19175308480 19474922675 20158725600 20253919582 21572222040 23369907210 23969135600 24927901024 26965277550 28043888652 28762962720 30380879373 31159876280 34515555264 35054860815 35953703400 37391851536 38949845350 40317451200 40507839164 43144444080 46739814420 47938271200 49855802048 50634798955 53930555100 56087777304 57525925440 58424768025 60761758746 62319752560 70109721630 71907406800 74783703072 77899690700 81015678328 86288888160 91142638119 93479628840 95876542400 101269597910 107861110200 112175554608 116849536050 121523517492 124639505120 140219443260 143814813600 149567406144 151904396865 155799381400 162031356656 172577776320 175274304075 182285276238 186959257680 202539195820 215722220400 224351109216 233699072100 243047034984 249279010240 253173994775 280438886520 287629627200 303808793730 311598762800 324062713312 350548608150 364570552476 373918515360 405078391640 431444440800 448702218432 455713190595 467398144200 486094069968 506347989550 560877773040 607617587460 623197525600 648125426624 701097216300 729141104952 747837030720 759521984325 810156783280 862888881600 911426381190 934796288400 972188139936 1012695979100 1121755546080 1215235174920 1246395051200 1402194432600 1458282209904 1519043968650 1620313566560 1822852762380 1869592576800 1944376279872 2025391958200 2243511092160 2278565952975 2430470349840 2804388865200 2916564419808 3038087937300 3240627133120 3645705524760 3739185153600 4050783916400 4557131905950 4860940699680 5608777730400 5833128839616 6076175874600 7291411049520 8101567832800 9114263811900 9721881399360 11217555460800 12152351749200 14582822099040 16203135665600 18228527623800 24304703498400 29165644198080 36457055247600 48609406996800 72914110495200 145828220990400
• Sum of all divisors σ(n): 561433735775952
• Sum of proper divisors (its aliquot sum) s(n): 415605514785552
• 145828220990400 is an abundant number, because the sum of its proper divisors (415605514785552) is greater than itself. Its abundance is 269777293795152

Bases of 145828220990400

• Binary: 100001001010000101000111010011110111001111000000₂
• Hexadecimal: 0x84A1474F73C0
• Base-36: 1FOWK5LRK0

Squares and roots of 145828220990400

• 145828220990400 squared (145828220990400²) is 21265870037224939156892160000
• 145828220990400 cubed (145828220990400³) is 3101163995341564301725464165741195264000000
• The square root of 145828220990400 is 12075935.6155289267
• The cube root of 145828220990400 is 52635.7148990661

Scales and comparisons

• 145,828,220,990,400 seconds is equal to 4,636,886 years, 18 weeks, 1 day, 20 hours.
• To count from 1 to 145,828,220,990,400 would take you about eleven million, five hundred ninety-two thousand, two hundred fifteen 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 145828220990400 cubic inches would be around 4386.3 feet tall.

Recreational maths with 145828220990400

• 145828220990400 backwards is 004099022828541
• The number of decimal digits it has is: 15
• The sum of 145828220990400's digits is 54
• More coming soon!