148437331492208640

Names of 148437331492208640

• Cardinal: 148437331492208640 can be written as One hundred forty-eight quadrillion, four hundred thirty-seven trillion, three hundred thirty-one billion, four hundred ninety-two million, two hundred eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.4843733149220864 × 10¹⁷

Factors of 148437331492208640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 12037506

Divisors of 148437331492208640

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 384 392 420 448 480 490 512 560 588 640 672 735 768 784 840 896 960 980 1024 1120 1176 1280 1344 1470 1536 1568 1680 1792 1920 1960 2048 2240 2352 2560 2688 2940 3072 3136 3360 3584 3840 3920 4096 4480 4704 5120 5376 5880 6144 6272 6720 7168 7680 7840 8192 8960 9408 10240 10752 11760 12288 12544 13440 14336 15360 15680 16384 17920 18816 20480 21504 23520 24576 25088 26880 28672 30720 31360 32768 35840 37632 40960 43008 47040 49152 50176 53760 57344 61440 62720 65536 71680 75264 81920 86016 94080 98304 100352 107520 114688 122880 125440 131072 143360 150528 163840 172032 188160 196608 200704 215040 229376 245760 250880 262144 286720 301056 327680 344064 376320 393216 401408 430080 458752 491520 501760 524288 573440 602112 655360 688128 752640 786432 802816 860160 917504 983040 1003520 1048576 1146880 1204224 1310720 1376256 1505280 1572864 1605632 1720320 1835008 1966080 2007040 2097152 2293760 2408448 2621440 2752512 3010560 3145728 3211264 3440640 3670016 3932160 4014080 4194304 4587520 4816896 5242880 5505024 6021120 6291456 6422528 6881280 7340032 7864320 8028160 8388608 9175040 9633792 10485760 11010048 12037489 12042240 12582912 12845056 13762560 14680064 15728640 16056320 16777216 18350080 19267584 20971520 22020096 24074978 24084480 25165824 25690112 27525120 29360128 31457280 32112640 36112467 36700160 38535168 41943040 44040192 48149956 48168960 50331648 51380224 55050240 58720256 60187445 62914560 64225280 72224934 73400320 77070336 83886080 84262423 88080384 96299912 96337920 102760448 110100480 117440512 120374890 125829120 128450560 144449868 146800640 154140672 168524846 176160768 180562335 192599824 192675840 205520896 220200960 240749780 251658240 252787269 256901120 288899736 293601280 308281344 337049692 352321536 361124670 385199648 385351680 411041792 421312115 440401920 481499560 505574538 513802240 577799472 587202560 589836961 616562688 674099384 722249340 770399296 770703360 822083584 842624230 880803840 962999120 1011149076 1027604480 1155598944 1179673922 1233125376 1263936345 1348198768 1444498680 1540798592 1541406720 1685248460 1761607680 1769510883 1925998240 2022298152 2055208960 2311197888 2359347844 2466250752 2527872690 2696397536 2888997360 2949184805 3081597184 3082813440 3370496920 3539021766 3851996480 4044596304 4110417920 4622395776 4718695688 5055745380 5392795072 5777994720 5898369610 6163194368 6165626880 6740993840 7078043532 7703992960 8089192608 8847554415 9244791552 9437391376 10111490760 10785590144 11555989440 11796739220 12326388736 12331253760 13481987680 14156087064 15407985920 16178385216 17695108830 18489583104 18874782752 20222981520 21571180288 23111978880 23593478440 24652777472 26963975360 28312174128 30815971840 32356770432 35390217660 36979166208 37749565504 40445963040 43142360576 46223957760 47186956880 49305554944 53927950720 56624348256 61631943680 64713540864 70780435320 73958332416 75499131008 80891926080 86284721152 92447915520 94373913760 98611109888 107855901440 113248696512 123263887360 129427081728 141560870640 147916664832 150998262016 161783852160 172569442304 184895831040 188747827520 197222219776 215711802880 226497393024 246527774720 258854163456 283121741280 295833329664 301996524032 323567704320 345138884608 369791662080 377495655040 394444439552 431423605760 452994786048 493055549440 517708326912 566243482560 591666659328 603993048064 647135408640 690277769216 739583324160 754991310080 788888879104 862847211520 905989572096 986111098880 1035416653824 1132486965120 1183333318656 1207986096128 1294270817280 1380555538432 1479166648320 1509982620160 1577777758208 1725694423040 1811979144192 1972222197760 2070833307648 2264973930240 2366666637312 2415972192256 2588541634560 2761111076864 2958333296640 3019965240320 3155555516416 3451388846080 3623958288384 3944444395520 4141666615296 4529947860480 4733333274624 4831944384512 5177083269120 5522222153728 5916666593280 6039930480640 6311111032832 6902777692160 7247916576768 7888888791040 8283333230592 9059895720960 9466666549248 9663888769024 10354166538240 11044444307456 11833333186560 12079860961280 12622222065664 13805555384320 14495833153536 15777777582080 16566666461184 18119791441920 18933333098496 19327777538048 20708333076480 22088888614912 23666666373120 24159721922560 25244444131328 27611110768640 28991666307072 31555555164160 33133332922368 36239582883840 37866666196992 38655555076096 41416666152960 44177777229824 47333332746240 48319443845120 50488888262656 55222221537280 57983332614144 63111110328320 66266665844736 72479165767680 75733332393984 77311110152192 82833332305920 88355554459648 94666665492480 96638887690240 100977776525312 110444443074560 115966665228288 126222220656640 132533331689472 144958331535360 151466664787968 154622220304384 165666664611840 176711108919296 189333330984960 193277775380480 201955553050624 220888886149120 231933330456576 252444441313280 265066663378944 289916663070720 302933329575936 309244440608768 331333329223680 353422217838592 378666661969920 386555550760960 441777772298240 463866660913152 504888882626560 530133326757888 579833326141440 605866659151872 618488881217536 662666658447360 706844435677184 757333323939840 773111101521920 883555544596480 927733321826304 1009777765253120 1060266653515776 1159666652282880 1236977762435072 1325333316894720 1413688871354368 1514666647879680 1546222203043840 1767111089192960 1855466643652608 2120533307031552 2319333304565760 2473955524870144 2650666633789440 3029333295759360 3092444406087680 3534222178385920 3710933287305216 4241066614063104 4638666609131520 4947911049740288 5301333267578880 6184888812175360 7068444356771840 7421866574610432 9277333218263040 9895822099480576 10602666535157760 12369777624350720 14843733149220864 18554666436526080 21205333070315520 24739555248701440 29687466298441728 37109332873052160 49479110497402880 74218665746104320 148437331492208640
• Sum of all divisors σ(n): 552550422581683920
• Sum of proper divisors (its aliquot sum) s(n): 404113091089475280
• 148437331492208640 is an abundant number, because the sum of its proper divisors (404113091089475280) is greater than itself. Its abundance is 255675759597266640

Bases of 148437331492208640

• Binary: 1000001111010110101111011101101111000000000000000000000000₂
• Hexadecimal: 0x20F5AF76F000000
• Base-36: 14LKN4P44VEO

Squares and roots of 148437331492208640

• 148437331492208640 squared (148437331492208640²) is 22033641380527834875749025290649600
• 148437331492208640 cubed (148437331492208640³) is 3270614929581855838322230026332522599853844332544000
• The square root of 148437331492208640 is 385275656.5009118767
• The cube root of 148437331492208640 is 529477.7476754977

Scales and comparisons

• 148,437,331,492,208,640 seconds is equal to 4,719,847,994 years, 33 weeks, 1 day, 17 hours, 4 minutes.
• To count from 1 to 148,437,331,492,208,640 would take you about fourteen billion, one hundred fifty-nine million, five hundred forty-three thousand, nine hundred eighty-three 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 148437331492208640 cubic inches would be around 44123.1 feet tall.

Recreational maths with 148437331492208640

• 148437331492208640 backwards is 046802294133734841
• The number of decimal digits it has is: 18
• The sum of 148437331492208640's digits is 69
• More coming soon!