381044224153376000

Names of 381044224153376000

• Cardinal: 381044224153376000 can be written as Three hundred eighty-one quadrillion, forty-four trillion, two hundred twenty-four billion, one hundred fifty-three million, three hundred seventy-six thousand.

Scientific notation

• Scientific notation: 3.81044224153376 × 10¹⁷

Factors of 381044224153376000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 57784

Divisors of 381044224153376000

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 73 80 98 100 112 125 128 140 146 160 175 196 200 224 245 250 256 280 292 320 350 365 392 400 448 490 500 511 560 584 640 700 730 784 800 875 896 980 1000 1022 1120 1168 1225 1280 1400 1460 1568 1600 1750 1792 1825 1960 2000 2044 2240 2336 2450 2555 2800 2920 3136 3200 3500 3577 3650 3920 4000 4088 4480 4672 4900 5110 5600 5840 6125 6272 6400 7000 7154 7300 7840 8000 8176 8960 9125 9344 9800 10220 11200 11680 12250 12544 12775 14000 14308 14600 15680 16000 16352 17885 18250 18688 19600 20440 22400 23360 24500 25550 28000 28616 29200 31360 32000 32704 35770 36500 39200 40880 44800 46720 49000 51100 56000 57232 57697 58400 62720 63875 65408 71540 73000 78400 81760 89425 93440 98000 102200 112000 114464 115394 116800 127750 130816 143080 146000 156800 163520 178850 196000 204400 224000 228928 230788 233600 255500 286160 288485 292000 313600 327040 357700 392000 403879 408800 447125 457856 461576 467200 511000 572320 576970 584000 654080 715400 784000 807758 817600 894250 915712 923152 1022000 1144640 1153940 1168000 1430800 1442425 1568000 1615516 1635200 1788500 1846304 2019395 2044000 2289280 2307880 2336000 2827153 2861600 2884850 3231032 3270400 3577000 3692608 4038790 4088000 4211881 4578560 4615760 5654306 5723200 5769700 6462064 7154000 7212125 7385216 8077580 8176000 8423762 9231520 10096975 11308612 11446400 11539400 12924128 14135765 14308000 14424250 14770432 16155160 16352000 16847524 18463040 20193950 21059405 22617224 22892800 23078800 25848256 28271530 28616000 28848500 29483167 32310320 33695048 36926080 40387900 42118810 45234448 46157600 50484875 51696512 56543060 57232000 57697000 58966334 64620640 67390096 70678825 73852160 80775800 84237620 90468896 92315200 100969750 103393024 105297025 113086120 114464000 115394000 117932668 129241280 134780192 141357650 147415835 161551600 168475240 180937792 184630400 201939500 206382169 210594050 226172240 230788000 235865336 258482560 269560384 282715300 294831670 323103200 336950480 353394125 361875584 369260800 403879000 412764338 421188100 452344480 461576000 471730672 516965120 526485125 539120768 565430600 589663340 646206400 673900960 706788250 723751168 737079175 807758000 825528676 842376200 904688960 923152000 943461344 1031910845 1052970250 1078241536 1130861200 1179326680 1292412800 1347801920 1413576500 1474158350 1615516000 1651057352 1684752400 1809377920 1846304000 1886922688 2063821690 2105940500 2261722400 2358653360 2584825600 2695603840 2827153000 2948316700 3231032000 3302114704 3328943809 3369504800 3618755840 3685395875 3773845376 4127643380 4211881000 4523444800 4717306720 5159554225 5391207680 5654306000 5896633400 6462064000 6604229408 6657887618 6739009600 7370791750 7547690752 8255286760 8423762000 9046889600 9434613440 10319108450 11308612000 11793266800 12924128000 13208458816 13315775236 13478019200 14741583500 16510573520 16644719045 16847524000 18093779200 18869226880 20638216900 22617224000 23302606663 23586533600 25797771125 26416917632 26631550472 26956038400 29483167000 33021147040 33289438090 33695048000 37738453760 41276433800 45234448000 46605213326 47173067200 51595542250 52833835264 53263100944 58966334000 66042294080 66578876180 67390096000 82552867600 83223595225 90468896000 93210426652 94346134400 103191084500 106526201888 116513033315 117932668000 132084588160 133157752360 134780192000 163118246641 165105735200 166447190450 186420853304 188692268800 206382169000 213052403776 233026066630 235865336000 243012898057 264169176320 266315504720 326236493282 330211470400 332894380900 372841706608 412764338000 416117976125 426104807552 466052133260 471730672000 486025796114 532631009440 582565166575 652472986564 660422940800 665788761800 745683413216 815591233205 825528676000 832235952250 852209615104 932104266520 943461344000 972051592228 1065262018880 1165130333150 1215064490285 1304945973128 1320845881600 1331577523600 1491366826432 1631182466410 1651057352000 1664471904500 1701090286399 1864208533040 1944103184456 2130524037760 2330260666300 2430128980570 2609891946256 2663155047200 2912825832875 2982733652864 3262364932820 3302114704000 3328943809000 3402180572798 3728417066080 3888206368912 4077956166025 4261048075520 4660521332600 4860257961140 5219783892512 5326310094400 5825651665750 5965467305728 6075322451425 6524729865640 6604229408000 6657887618000 6804361145596 7456834132160 7776412737824 8155912332050 8505451431995 9321042665200 9720515922280 10439567785024 10652620188800 11651303331500 11907632004793 12150644902850 13049459731280 13315775236000 13608722291192 14913668264320 15552825475648 16311824664100 17010902863990 18642085330400 19441031844560 20389780830125 20879135570048 21305240377600 23302606663000 23815264009586 24301289805700 26098919462560 26631550472000 27217444582384 29827336528640 30376612257125 31105650951296 32623649328200 34021805727980 37284170660800 38882063689120 40779561660250 41758271140096 42527257159975 46605213326000 47630528019172 48602579611400 52197838925120 53263100944000 54434889164768 59538160023965 60753224514250 62211301902592 65247298656400 68043611455960 74568341321600 77764127378240 81559123320500 85054514319950 93210426652000 95261056038344 97205159222800 104395677850240 106526201888000 108869778329536 119076320047930 121506449028500 130494597312800 136087222911920 149136682643200 155528254756480 163118246641000 170109028639900 186420853304000 190522112076688 194410318445600 208791355700480 212636285799875 217739556659072 238152640095860 243012898057000 260989194625600 272174445823840 297690800119825 311056509512960 326236493282000 340218057279800 372841706608000 381044224153376 388820636891200 425272571599750 435479113318144 476305280191720 486025796114000 521978389251200 544348891647680 595381600239650 652472986564000 680436114559600 745683413216000 762088448306752 777641273782400 850545143199500 952610560383440 972051592228000 1043956778502400 1088697783295360 1190763200479300 1304945973128000 1360872229119200 1488454000599125 1524176896613504 1555282547564800 1701090286399000 1905221120766880 1944103184456000 2177395566590720 2381526400958600 2609891946256000 2721744458238400 2976908001198250 3048353793227008 3402180572798000 3810442241533760 3888206368912000 4763052801917200 5219783892512000 5443488916476800 5953816002396500 6804361145596000 7620884483067520 7776412737824000 9526105603834400 10886977832953600 11907632004793000 13608722291192000 15241768966135040 19052211207668800 23815264009586000 27217444582384000 38104422415337600 47630528019172000 54434889164768000 76208844830675200 95261056038344000 190522112076688000 381044224153376000
• Sum of all divisors σ(n): 1119350417668826616
• Sum of proper divisors (its aliquot sum) s(n): 738306193515450616
• 381044224153376000 is an abundant number, because the sum of its proper divisors (738306193515450616) is greater than itself. Its abundance is 357261969362074616

Bases of 381044224153376000

• Binary: 10101001001101111011011001111111000011000000101010100000000₂
• Hexadecimal: 0x549BDB3F8605500
• Base-36: 2W7WWJZQLLA8

Squares and roots of 381044224153376000

• 381044224153376000 squared (381044224153376000²) is 145194700760648253823972197376000000
• 381044224153376000 cubed (381044224153376000³) is 55325602102522806039175705125218315968741376000000000
• The square root of 381044224153376000 is 617287796.8608937275
• The cube root of 381044224153376000 is 724978.5006091473

Scales and comparisons

• 381,044,224,153,376,000 seconds is equal to 12,116,027,680 years, 47 weeks, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 381,044,224,153,376,000 would take you about thirty-six billion, three hundred forty-eight million, eighty-three thousand and forty-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 381044224153376000 cubic inches would be around 60414.9 feet tall.

Recreational maths with 381044224153376000

• 381044224153376000 backwards is 000673351422440183
• The number of decimal digits it has is: 18
• The sum of 381044224153376000's digits is 53
• More coming soon!