2137015846332006400

Names of 2137015846332006400

• Cardinal: 2137015846332006400 can be written as Two quintillion, one hundred thirty-seven quadrillion, fifteen trillion, eight hundred forty-six billion, three hundred thirty-two million, six thousand, four hundred.

Scientific notation

• Scientific notation: 2.1370158463320064 × 10¹⁸

Factors of 2137015846332006400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 278

Divisors of 2137015846332006400

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 271 320 400 512 542 640 800 1024 1084 1280 1355 1600 2048 2168 2560 2710 3200 4096 4336 5120 5420 6400 6775 8192 8672 10240 10840 12800 13550 16384 17344 20480 21680 25600 27100 32768 34688 40960 43360 51200 54200 65536 69376 73441 81920 86720 102400 108400 131072 138752 146882 163840 173440 204800 216800 262144 277504 293764 327680 346880 367205 409600 433600 524288 555008 587528 655360 693760 734410 819200 867200 1048576 1110016 1175056 1310720 1387520 1468820 1638400 1734400 1836025 2097152 2220032 2350112 2621440 2775040 2937640 3276800 3468800 3672050 4194304 4440064 4700224 5242880 5550080 5875280 6553600 6937600 7344100 8388608 8880128 9400448 10485760 11100160 11750560 13107200 13875200 14688200 16777216 17760256 18800896 19902511 20971520 22200320 23501120 26214400 27750400 29376400 33554432 35520512 37601792 39805022 41943040 44400640 47002240 52428800 55500800 58752800 67108864 71041024 75203584 79610044 83886080 88801280 94004480 99512555 104857600 111001600 117505600 134217728 142082048 150407168 159220088 167772160 177602560 188008960 199025110 209715200 222003200 235011200 268435456 284164096 300814336 318440176 335544320 355205120 376017920 398050220 419430400 444006400 470022400 497562775 536870912 568328192 601628672 636880352 671088640 710410240 752035840 796100440 838860800 888012800 940044800 995125550 1073741824 1136656384 1203257344 1273760704 1342177280 1420820480 1504071680 1592200880 1677721600 1776025600 1880089600 1990251100 2147483648 2273312768 2406514688 2547521408 2684354560 2841640960 3008143360 3184401760 3355443200 3552051200 3760179200 3980502200 4294967296 4546625536 4813029376 5095042816 5368709120 5683281920 6016286720 6368803520 6710886400 7104102400 7520358400 7961004400 9093251072 9626058752 10190085632 10737418240 11366563840 12032573440 12737607040 13421772800 14208204800 15040716800 15922008800 18186502144 19252117504 20380171264 21474836480 22733127680 24065146880 25475214080 26843545600 28416409600 30081433600 31844017600 36373004288 38504235008 40760342528 45466255360 48130293760 50950428160 53687091200 56832819200 60162867200 63688035200 72746008576 77008470016 81520685056 90932510720 96260587520 101900856320 107374182400 113665638400 120325734400 127376070400 145492017152 154016940032 163041370112 181865021440 192521175040 203801712640 227331276800 240651468800 254752140800 290984034304 308033880064 326082740224 363730042880 385042350080 407603425280 454662553600 481302937600 509504281600 581968068608 616067760128 652165480448 727460085760 770084700160 815206850560 909325107200 962605875200 1019008563200 1163936137216 1232135520256 1304330960896 1454920171520 1540169400320 1630413701120 1818650214400 1925211750400 2038017126400 2464271040512 2608661921792 2909840343040 3080338800640 3260827402240 3637300428800 3850423500800 4076034252800 4928542081024 5217323843584 5819680686080 6160677601280 6521654804480 7274600857600 7700847001600 8152068505600 9857084162048 10434647687168 12321355202560 13043309608960 14549201715200 15401694003200 16304137011200 19714168324096 20869295374336 24642710405120 26086619217920 29098403430400 30803388006400 32608274022400 39428336648192 41738590748672 49285420810240 52173238435840 61606776012800 65216548044800 78856673296384 83477181497344 98570841620480 104346476871680 123213552025600 130433096089600 157713346592768 166954362994688 197141683240960 208692953743360 246427104051200 260866192179200 315426693185536 333908725989376 394283366481920 417385907486720 492854208102400 521732384358400 667817451978752 788566732963840 834771814973440 985708416204800 1043464768716800 1335634903957504 1577133465927680 1669543629946880 1971416832409600 2086929537433600 2671269807915008 3339087259893760 3942833664819200 4173859074867200 5342539615830016 6678174519787520 7885667329638400 8347718149734400 10685079231660032 13356349039575040 16695436299468800 21370158463320064 26712698079150080 33390872598937600 42740316926640128 53425396158300160 66781745197875200 85480633853280256 106850792316600320 133563490395750400 213701584633200640 267126980791500800 427403169266401280 534253961583001600 1068507923166003200 2137015846332006400
• Sum of all divisors σ(n): 5319428183590095904
• Sum of proper divisors (its aliquot sum) s(n): 3182412337258089504
• 2137015846332006400 is an abundant number, because the sum of its proper divisors (3182412337258089504) is greater than itself. Its abundance is 1045396490926083104

Bases of 2137015846332006400

• Binary: 1110110101000001101001001011100000000000000000000000000000000₂
• Hexadecimal: 0x1DA8349700000000
• Base-36: G8HWW6UG0HDS

Squares and roots of 2137015846332006400

• 2137015846332006400 squared (2137015846332006400²) is 4566836727474101591657057049640960000
• 2137015846332006400 cubed (2137015846332006400³) is 9759402454223157677261409875489069676298076422144000000
• The square root of 2137015846332006400 is 1461853565.2834747593
• The cube root of 2137015846332006400 is 1288059.4676828805

Scales and comparisons

• 2,137,015,846,332,006,400 seconds is equal to 67,950,493,689 years, 17 weeks, 1 day, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 2,137,015,846,332,006,400 would take you about two hundred thirty-seven billion, eight hundred twenty-six million, seven hundred twenty-seven thousand, nine hundred twelve 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 2137015846332006400 cubic inches would be around 107338.3 feet tall.

Recreational maths with 2137015846332006400

• 2137015846332006400 backwards is 0046002336485107312
• The number of decimal digits it has is: 19
• The sum of 2137015846332006400's digits is 55
• More coming soon!