146189091248640

Names of 146189091248640

• Cardinal: 146189091248640 can be written as One hundred forty-six trillion, one hundred eighty-nine billion, ninety-one million, two hundred forty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.4618909124864 × 10¹⁴

Factors of 146189091248640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 400443

Divisors of 146189091248640

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 121 128 131 132 144 160 165 176 180 192 198 220 240 242 256 262 264 288 320 330 352 360 363 384 393 396 440 480 484 495 512 524 528 576 605 640 655 660 704 720 726 768 786 792 880 960 968 990 1048 1056 1089 1152 1179 1210 1280 1310 1320 1408 1440 1441 1452 1536 1572 1584 1760 1815 1920 1936 1965 1980 2096 2112 2178 2304 2358 2420 2560 2620 2640 2816 2880 2882 2904 3144 3168 3520 3630 3840 3872 3930 3960 4192 4224 4323 4356 4608 4716 4840 5240 5280 5445 5632 5760 5764 5808 5895 6288 6336 7040 7205 7260 7680 7744 7860 7920 8384 8448 8646 8712 9432 9680 10480 10560 10890 11520 11528 11616 11790 12576 12672 12969 14080 14410 14520 15488 15720 15840 15851 16768 16896 17292 17424 18864 19360 20960 21120 21615 21780 23040 23056 23232 23580 25152 25344 25938 28160 28820 29040 30976 31440 31680 31702 33536 34584 34848 37728 38720 41920 42240 43230 43560 46112 46464 47160 47553 50304 50688 51876 57640 58080 61952 62880 63360 63404 64845 67072 69168 69696 75456 77440 79255 83840 84480 86460 87120 92224 92928 94320 95106 100608 103752 115280 116160 125760 126720 126808 129690 138336 139392 142659 150912 154880 158510 167680 172920 174240 184448 185856 188640 190212 201216 207504 230560 232320 237765 251520 253440 253616 259380 276672 278784 285318 301824 309760 317020 335360 345840 348480 368896 377280 380424 400291 415008 461120 464640 475530 503040 507232 518760 553344 557568 570636 603648 634040 691680 696960 713295 737792 754560 760848 800582 830016 922240 929280 951060 1006080 1014464 1037520 1106688 1141272 1200873 1268080 1383360 1393920 1426590 1509120 1521696 1601164 1660032 1844480 1902120 2001455 2028928 2075040 2213376 2282544 2401746 2536160 2766720 2787840 2853180 3018240 3043392 3202328 3320064 3602619 3688960 3804240 4002910 4057856 4150080 4403201 4565088 4803492 5072320 5533440 5706360 6004365 6086784 6404656 6640128 7205238 7608480 8005820 8115712 8300160 8806402 9130176 9606984 10144640 11066880 11412720 12008730 12173568 12809312 13209603 14410476 15216960 16011640 16600320 17612804 18013095 18260352 19213968 20289280 22016005 22825440 24017460 24347136 25618624 26419206 28820952 30433920 32023280 33200640 35225608 36026190 36520704 38427936 39628809 40578560 44032010 45650880 48034920 48435211 51237248 52438121 52838412 57641904 60867840 64046560 66048015 70451216 72052380 73041408 76855872 79257618 88064020 91301760 96069840 96870422 102474496 104876242 105676824 115283808 121735680 128093120 132096030 140902432 144104760 145305633 153711744 157314363 158515236 176128040 182603520 192139680 193740844 198144045 204948992 209752484 211353648 230567616 242176055 256186240 262190605 264192060 281804864 288209520 290611266 307423488 314628726 317030472 352256080 365207040 384279360 387481688 396288090 419504968 422707296 435916899 461135232 471943089 484352110 512372480 524381210 528384120 563609728 576419040 576819331 581222532 614846976 629257452 634060944 704512160 726528165 768558720 774963376 786571815 792576180 839009936 845414592 871833798 922270464 943886178 968704220 1024744960 1048762420 1056768240 1127219456 1152838080 1153638662 1162445064 1258514904 1268121888 1409024320 1453056330 1537117440 1549926752 1573143630 1585152360 1678019872 1690829184 1730457993 1743667596 1844540928 1887772356 1937408440 2097524840 2113536480 2179584495 2254438912 2305676160 2307277324 2324890128 2359715445 2517029808 2536243776 2818048640 2884096655 2906112660 3074234880 3099853504 3146287260 3170304720 3356039744 3381658368 3460915986 3487335192 3775544712 3874816880 4195049680 4227072960 4359168990 4611352320 4614554648 4649780256 4719430890 5034059616 5072487552 5191373979 5636097280 5768193310 5812225320 6199707008 6292574520 6340609440 6345012641 6712079488 6763316736 6921831972 6974670384 7551089424 7749633760 8390099360 8454145920 8652289965 8718337980 9222704640 9229109296 9299560512 9438861780 10068119232 10144975104 10382747958 11272194560 11536386620 11624450640 12399414016 12585149040 12681218880 12690025282 13424158976 13843663944 13949340768 15102178848 15499267520 16780198720 16908291840 17304579930 17436675960 18458218592 18599121024 18877723560 19035037923 20136238464 20289950208 20765495916 23072773240 23248901280 24798828032 25170298080 25362437760 25380050564 25956869895 26848317952 27687327888 27898681536 30204357696 30998535040 31725063205 33560397440 33816583680 34609159860 34873351920 36916437184 37198242048 37755447120 38070075846 40272476928 41530991832 46145546480 46497802560 50340596160 50724875520 50760101128 51913739790 55374655776 55797363072 57105113769 60408715392 61997070080 63450126410 67120794880 69218319720 69746703840 73832874368 74396484096 75510894240 76140151692 80544953856 83061983664 92291092960 92995605120 95175189615 100681192320 101449751040 101520202256 103827479580 110749311552 111594726144 114210227538 120817430784 123994140160 126900252820 134241589760 138436639440 139493407680 147665748736 151021788480 152280303384 166123967328 184582185920 185991210240 190350379230 201362384640 203040404512 207654959160 221498623104 223189452288 228420455076 241634861568 253800505640 276873278880 278986815360 285525568845 295331497472 302043576960 304560606768 332247934656 369164371840 371982420480 380700758460 402724769280 406080809024 415309918320 442997246208 456840910152 507601011280 553746557760 557973630720 571051137690 604087153920 609121213536 664495869312 738328743680 761401516920 812161618048 830619836640 885994492416 913681820304 1015202022560 1107493115520 1115947261440 1142102275380 1208174307840 1218242427072 1328991738624 1476657487360 1522803033840 1624323236096 1661239673280 1827363640608 2030404045120 2214986231040 2284204550760 2436484854144 2657983477248 3045606067680 3248646472192 3322479346560 3654727281216 4060808090240 4429972462080 4568409101520 4872969708288 6091212135360 6644958693120 7309454562432 8121616180480 9136818203040 9745939416576 12182424270720 13289917386240 14618909124864 16243232360960 18273636406080 24364848541440 29237818249728 36547272812160 48729697082880 73094545624320 146189091248640
• Sum of all divisors σ(n): 560754437731488
• Sum of proper divisors (its aliquot sum) s(n): 414565346482848
• 146189091248640 is an abundant number, because the sum of its proper divisors (414565346482848) is greater than itself. Its abundance is 268376255234208

Bases of 146189091248640

• Binary: 100001001111010101001100110110101001101000000000₂
• Hexadecimal: 0x84F54CDA9A00
• Base-36: 1FTICAFSW0

Squares and roots of 146189091248640

• 146189091248640 squared (146189091248640²) is 21371250400103192234301849600
• 146189091248640 cubed (146189091248640³) is 3124243674838219678412504129779525484544000
• The square root of 146189091248640 is 12090868.0932611287
• The cube root of 146189091248640 is 52679.0970308573

Scales and comparisons

• 146,189,091,248,640 seconds is equal to 4,648,360 years, 47 weeks, 1 day, 22 hours, 24 minutes.
• To count from 1 to 146,189,091,248,640 would take you about eleven million, six hundred twenty thousand, nine hundred two 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 146189091248640 cubic inches would be around 4389.9 feet tall.

Recreational maths with 146189091248640

• 146189091248640 backwards is 046842190981641
• The number of decimal digits it has is: 15
• The sum of 146189091248640's digits is 63
• More coming soon!