47131733800901120

Names of 47131733800901120

• Cardinal: 47131733800901120 can be written as Forty-seven quadrillion, one hundred thirty-one trillion, seven hundred thirty-three billion, eight hundred million, nine hundred one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.713173380090112 × 10¹⁶

Factors of 47131733800901120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 560092

Divisors of 47131733800901120

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 73 76 80 95 112 128 133 140 146 152 160 190 224 256 266 280 292 304 320 365 380 448 511 512 532 560 584 608 640 665 730 760 896 1022 1064 1120 1168 1216 1280 1330 1387 1460 1520 1792 2044 2128 2240 2336 2432 2555 2560 2660 2774 2920 3040 3407 3584 4088 4256 4480 4672 4864 5110 5320 5548 5840 6080 6814 6935 8176 8512 8960 9344 9709 9728 10220 10640 11096 11680 12160 13628 13870 16352 17024 17035 17920 18688 19418 20440 21280 22192 23360 23849 24320 27256 27740 32704 34048 34070 37376 38836 40880 42560 44384 46720 47698 48545 48640 54512 55480 64733 65408 68096 68140 77672 81760 85120 88768 93440 95396 97090 109024 110960 119245 129466 130816 136280 155344 163520 170240 177536 186880 190792 194180 218048 221920 238490 248711 258932 261632 272560 310688 323665 327040 340480 355072 381584 388360 436096 443840 453131 476980 497422 517864 545120 556579 621376 647330 654080 710144 763168 776720 872192 887680 906262 953960 994844 1035728 1090240 1113158 1242752 1243555 1294660 1308160 1526336 1553440 1740977 1744384 1775360 1812524 1907920 1989688 2071456 2180480 2226316 2265655 2485504 2487110 2589320 2782895 3052672 3106880 3481954 3550720 3625048 3815840 3896053 3979376 4142912 4360960 4452632 4531310 4725509 4971008 4974220 5178640 5565790 6105344 6213760 6963908 7250096 7631680 7792106 7958752 8285824 8704885 8721920 8905264 9062620 9451018 9948440 10357280 10575001 11131580 12210688 12427520 13927816 14500192 15263360 15584212 15917504 16571648 17409770 17810528 18125240 18902036 19480265 19896880 20714560 21150002 22263160 23627545 24855040 27855632 29000384 30526720 31168424 31835008 33078563 33143296 34819540 35621056 36250480 37804072 38960530 39793760 40630267 41429120 42300004 44526320 47255090 52875005 55711264 58000768 61053440 62336848 63670016 66157126 69639080 71242112 72500960 74025007 75608144 77921060 79587520 81260534 82858240 84600008 89052640 94510180 105750010 111422528 116001536 124673696 127340032 132314252 139278160 142484224 145001920 148050014 151216288 155842120 159175040 162521068 165392815 165716480 169200016 178105280 189020360 203151335 211500020 222845056 232003072 249347392 264628504 278556320 284411869 284968448 290003840 296100028 302432576 311684240 318350080 325042136 330785630 338400032 356210560 370125035 378040720 406302670 423000040 445690112 498694784 529257008 557112640 568823738 580007680 592200056 604865152 623368480 636700160 650084272 661571260 676800064 712421120 740250070 756081440 771975073 812605340 846000080 891380224 997389568 1058514016 1114225280 1137647476 1160015360 1184400112 1209730304 1246736960 1300168544 1323142520 1353600128 1422059345 1424842240 1480500140 1512162880 1543950146 1625210680 1692000160 1896264653 1994779136 2117028032 2228450560 2275294952 2368800224 2419460608 2493473920 2600337088 2646285040 2707200256 2844118690 2961000280 3024325760 3087900292 3250421360 3384000320 3792529306 3859875365 4234056064 4456901120 4550589904 4737600448 4986947840 5200674176 5292570080 5403825511 5414400512 5688237380 5922000560 6048651520 6175800584 6500842720 6768000640 7585058612 7719750730 8468112128 9101179808 9475200896 9481323265 9973895680 10401348352 10585140160 10807651022 11376474760 11844001120 12097303040 12351601168 13001685440 13273852571 13536001280 15170117224 15439501460 16936224256 18202359616 18950401792 18962646530 20802696704 21170280320 21615302044 22752949520 23688002240 24703202336 26003370880 26547705142 27019127555 27072002560 30340234448 30879002920 36029028407 36404719232 37900803584 37925293060 42340560640 43230604088 45505899040 47376004480 49406404672 52006741760 53095410284 54038255110 60680468896 61758005840 66369262855 72058056814 72809438464 75850586120 84681121280 86461208176 91011798080 94752008960 98812809344 104013483520 106190820568 108076510220 121360937792 123516011680 132738525710 138427319669 144116113628 145618876928 151701172240 172922416352 180145142035 182023596160 189504017920 197625618688 212381641136 216153020440 242721875584 247032023360 252203198849 265477051420 276854639338 288232227256 303402344480 345844832704 360290284070 364047192320 395251237376 424763282272 432306040880 485443751168 494064046720 504406397698 530954102840 553709278676 576464454512 606804688960 691689665408 692136598345 720580568140 728094384640 849526564544 864612081760 968991237683 970887502336 988128093440 1008812795396 1061908205680 1107418557352 1152928909024 1213609377920 1261015994245 1383379330816 1384273196690 1441161136280 1699053129088 1729224163520 1937982475366 1976256186880 2017625590792 2123816411360 2214837114704 2305857818048 2427218755840 2522031988490 2630119073711 2766758661632 2768546393380 2882322272560 3398106258176 3458448327040 3875964950732 4035251181584 4247632822720 4429674229408 4611715636096 4844956188415 4854437511680 5044063976980 5260238147422 5537092786760 5764644545120 6796212516352 6916896654080 7751929901464 8070502363168 8495265645440 8859348458816 9223431272192 9689912376830 10088127953960 10520476294844 11074185573520 11529289090240 13150595368555 13833793308160 15503859802928 16141004726336 16990531290880 17718696917632 18410833515977 18446862544384 19379824753660 20176255907920 21040952589688 22148371147040 23058578180480 26301190737110 31007719605856 32282009452672 33981062581760 35437393835264 36821667031954 38759649507320 40352511815840 42081905179376 44296742294080 46117156360960 52602381474220 62015439211712 64564018905344 70874787670528 73643334063908 77519299014640 80705023631680 84163810358752 88593484588160 92054167579885 92234312721920 105204762948440 124030878423424 129128037810688 147286668127816 155038598029280 161410047263360 168327620717504 177186969176320 184108335159770 210409525896880 248061756846848 294573336255632 310077196058560 322820094526720 336655241435008 354373938352640 368216670319540 420819051793760 496123513693696 589146672511264 620154392117120 645640189053440 673310482870016 736433340639080 841638103587520 1178293345022528 1240308784234240 1346620965740032 1472866681278160 1683276207175040 2356586690045056 2480617568468480 2945733362556320 3366552414350080 4713173380090112 5891466725112640 6733104828700160 9426346760180224 11782933450225280 23565866900450560 47131733800901120
• Sum of all divisors σ(n): 137849682141388800
• Sum of proper divisors (its aliquot sum) s(n): 90717948340487680
• 47131733800901120 is an abundant number, because the sum of its proper divisors (90717948340487680) is greater than itself. Its abundance is 43586214539586560

Bases of 47131733800901120

• Binary: 10100111011100100000111111101010110110011101101000000000₂
• Hexadecimal: 0xA7720FEAD9DA00
• Base-36: CW2SZLJR20W

Squares and roots of 47131733800901120

• 47131733800901120 squared (47131733800901120²) is 2221400331079005135924524017254400
• 47131733800901120 cubed (47131733800901120³) is 104698449069649285101569395981025294761148284928000
• The square root of 47131733800901120 is 217098442.6496448177
• The cube root of 47131733800901120 is 361219.4597193847

Scales and comparisons

• 47,131,733,800,901,120 seconds is equal to 1,498,643,346 years, 43 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
• To count from 1 to 47,131,733,800,901,120 would take you about four billion, four hundred ninety-five million, nine hundred thirty thousand and forty 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 47131733800901120 cubic inches would be around 30101.6 feet tall.

Recreational maths with 47131733800901120

• 47131733800901120 backwards is 02110900833713174
• The number of decimal digits it has is: 17
• The sum of 47131733800901120's digits is 50
• More coming soon!