381381138924393600

Names of 381381138924393600

• Cardinal: 381381138924393600 can be written as Three hundred eighty-one quadrillion, three hundred eighty-one trillion, one hundred thirty-eight billion, nine hundred twenty-four million, three hundred ninety-three thousand, six hundred.

Scientific notation

• Scientific notation: 3.813811389243936 × 10¹⁷

Factors of 381381138924393600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 307962806032

Divisors of 381381138924393600

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 80 86 90 96 100 120 128 129 144 150 160 172 180 192 200 215 225 240 258 288 300 320 344 360 384 387 400 430 450 480 516 576 600 640 645 688 720 774 800 860 900 960 1032 1075 1152 1200 1290 1376 1440 1548 1600 1720 1800 1920 1935 2064 2150 2400 2580 2752 2880 3096 3200 3225 3440 3600 3870 4128 4300 4800 5160 5504 5760 6192 6450 6880 7200 7740 8256 8600 9600 9675 10320 12384 12900 13760 14400 15480 16512 17200 19350 20640 24768 25800 27520 28800 30960 34400 38700 41280 49536 51600 61920 68800 77400 82560 103200 123840 137600 154800 206400 247680 309600 412800 619200 1238400 307962805979 615925611958 923888417937 1231851223916 1539814029895 1847776835874 2463702447832 2771665253811 3079628059790 3695553671748 4619442089685 4927404895664 5543330507622 6159256119580 7391107343496 7699070149475 9238884179370 9854809791328 11086661015244 12318512239160 13242400657097 13858326269055 14782214686992 15398140298950 18477768358740 19709619582656 22173322030488 23097210448425 24637024478320 26484801314194 27716652538110 29564429373984 30796280597900 36955536717480 39419239165312 39727201971291 44346644060976 46194420896850 49274048956640 52969602628388 55433305076220 59128858747968 61592561195800 66212003285485 69291631345275 73911073434960 79454403942582 88693288121952 92388841793700 98548097913280 105939205256776 110866610152440 118257717495936 119181605913873 123185122391600 132424006570970 138583262690550 147822146869920 158908807885164 177386576243904 184777683587400 197096195826560 198636009856455 211878410513552 221733220304880 238363211827746 246370244783200 264848013141940 277166525381100 295644293739840 317817615770328 331060016427425 354773152487808 369555367174800 397272019712910 423756821027104 443466440609760 476726423655492 492740489566400 529696026283880 554333050762200 591288587479680 595908029569365 635635231540656 662120032854850 739110734349600 794544039425820 847513642054208 886932881219520 953452847310984 985480979132800 993180049282275 1059392052567760 1108666101524400 1191816059138730 1271270463081312 1324240065709700 1478221468699200 1589088078851640 1695027284108416 1773865762439040 1906905694621968 1986360098564550 2118784105135520 2217332203048800 2383632118277460 2542540926162624 2648480131419400 2956442937398400 2979540147846825 3178176157703280 3813811389243936 3972720197129100 4237568210271040 4434664406097600 4767264236554920 5085081852325248 5296960262838800 5959080295693650 6356352315406560 7627622778487872 7945440394258200 8475136420542080 8869328812195200 9534528473109840 10593920525677600 11918160591387300 12712704630813120 15255245556975744 15890880788516400 19069056946219680 21187841051355200 23836321182774600 25425409261626240 31781761577032800 38138113892439360 42375682102710400 47672642365549200 63563523154065600 76276227784878720 95345284731098400 127127046308131200 190690569462196800 381381138924393600
• Sum of all divisors σ(n): 1392503101287526800
• Sum of proper divisors (its aliquot sum) s(n): 1011121962363133200
• 381381138924393600 is an abundant number, because the sum of its proper divisors (1011121962363133200) is greater than itself. Its abundance is 629740823438739600

Bases of 381381138924393600

• Binary: 10101001010111100000010000000001101100111110101010010000000₂
• Hexadecimal: 0x54AF0200D9F5480
• Base-36: 2WB8BWI2DR40

Squares and roots of 381381138924393600

• 381381138924393600 squared (381381138924393600²) is 145451573127267611110337127720960000
• 381381138924393600 cubed (381381138924393600³) is 55472486617622043664579982531555605960118009856000000
• The square root of 381381138924393600 is 617560635.8280890299
• The cube root of 381381138924393600 is 725192.1101203993

Scales and comparisons

• 381,381,138,924,393,600 seconds is equal to 12,126,740,528 years, 24 weeks, 5 days, 16 hours.
• To count from 1 to 381,381,138,924,393,600 would take you about thirty-six billion, three hundred eighty million, two hundred twenty-one thousand, five hundred eighty-five 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 381381138924393600 cubic inches would be around 60432.7 feet tall.

Recreational maths with 381381138924393600

• 381381138924393600 backwards is 006393429831183183
• 381381138924393600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 381381138924393600's digits is 72
• More coming soon!