137802017304240128

Names of 137802017304240128

• Cardinal: 137802017304240128 can be written as One hundred thirty-seven quadrillion, eight hundred two trillion, seventeen billion, three hundred four million, two hundred forty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37802017304240128 × 10¹⁷

Factors of 137802017304240128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 789

Divisors of 137802017304240128

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 343 392 448 512 518 592 686 743 784 896 1024 1036 1184 1372 1486 1568 1792 1813 2048 2072 2368 2401 2744 2972 3136 3584 3626 4096 4144 4736 4802 5201 5488 5944 6272 7168 7252 8192 8288 9472 9604 10402 10976 11888 12544 12691 14336 14504 16576 16807 18944 19208 20804 21952 23776 25088 25382 27491 28672 29008 33152 33614 36407 37888 38416 41608 43904 47552 50176 50764 54982 57344 58016 66304 67228 72814 75776 76832 83216 87808 88837 95104 100352 101528 109964 116032 117649 132608 134456 145628 151552 153664 166432 175616 177674 190208 192437 200704 203056 219928 232064 235298 254849 265216 268912 291256 303104 307328 332864 351232 355348 380416 384874 401408 406112 439856 464128 470596 509698 530432 537824 552049 582512 614656 621859 665728 702464 710696 760832 769748 812224 823543 879712 928256 941192 1019396 1060864 1075648 1104098 1165024 1229312 1243718 1331456 1347059 1404928 1421392 1521664 1539496 1624448 1647086 1759424 1783943 1856512 1882384 2038792 2121728 2151296 2208196 2330048 2458624 2487436 2662912 2694118 2809856 2842784 3043328 3078992 3248896 3294172 3518848 3567886 3713024 3764768 3864343 4077584 4302592 4353013 4416392 4660096 4917248 4974872 5325824 5388236 5685568 6086656 6157984 6497792 6588344 7037696 7135772 7426048 7529536 7728686 8155168 8605184 8706026 8832784 9320192 9429413 9834496 9949744 10651648 10776472 11371136 12315968 12487601 12995584 13176688 14075392 14271544 14852096 15059072 15457372 16310336 17210368 17412052 17665568 18640384 18858826 19668992 19899488 20425813 21303296 21552944 22742272 24631936 24975202 25991168 26353376 27050401 28150784 28543088 30118144 30471091 30914744 32620672 34420736 34824104 35331136 37280768 37717652 39798976 40851626 42606592 43105888 45484544 49263872 49950404 51982336 52706752 54100802 56301568 57086176 60236288 60942182 61829488 65241344 66005891 68841472 69648208 70662272 74561536 75435304 79597952 81703252 86211776 87413207 90969088 98527744 99900808 103964672 105413504 108201604 112603136 114172352 120472576 121884364 123658976 130482688 132011782 137682944 139296416 141324544 142980691 149123072 150870608 159195904 163406504 172423552 174826414 181938176 189352807 197055488 199801616 210827008 216403208 225206272 228344704 240945152 243768728 247317952 260965376 264023564 278592832 282649088 285961382 298246144 301741216 318391808 326813008 344847104 349652828 363876352 378705614 394110976 399603232 421654016 432806416 456689408 462041237 481890304 487537456 494635904 521930752 528047128 557185664 565298176 571922764 603482432 611892449 636783616 653626016 689694208 699305656 727752704 757411228 788221952 799206464 843308032 865612832 913378816 924082474 963780608 975074912 989271808 1000864837 1043861504 1056094256 1114371328 1130596352 1143845528 1206964864 1223784898 1273567232 1307252032 1325469649 1379388416 1398611312 1514822456 1576443904 1598412928 1686616064 1731225664 1826757632 1848164948 1950149824 1978543616 2001729674 2087723008 2112188512 2228742656 2261192704 2287691056 2413929728 2447569796 2547134464 2614504064 2650939298 2758776832 2797222624 3029644912 3196825856 3234288659 3373232128 3462451328 3653515264 3696329896 3900299648 3957087232 4003459348 4224377024 4457485312 4522385408 4575382112 4827859456 4895139592 5094268928 5229008128 5301878596 5517553664 5594445248 6059289824 6393651712 6468577318 6746464256 6924902656 7006053859 7307030528 7392659792 7800599296 7914174464 8006918696 8448754048 8914970624 9150764224 9278287543 9655718912 9790279184 10458016256 10603757192 11035107328 11188890496 12118579648 12787303424 12937154636 13849805312 14012107718 14614061056 14785319584 15601198592 15828348928 16013837392 16897508096 17829941248 18301528448 18556575086 19311437824 19580558368 20916032512 21207514384 22377780992 22640020613 24237159296 25574606848 25874309272 27699610624 28024215436 29570639168 31202397184 31656697856 32027674784 33795016192 35659882496 36603056896 37113150172 38622875648 39161116736 41832065024 42415028768 44755561984 45280041226 48474318592 49042377013 51149213696 51748618544 55399221248 56048430872 59141278336 62404794368 64055349568 64948012801 67590032384 73206113792 74226300344 77245751296 78322233472 83664130048 84830057536 89511123968 90560082452 96948637184 98084754026 102298427392 103497237088 110798442496 112096861744 118282556672 124809588736 128110699136 129896025602 135180064768 146412227584 148452600688 156644466944 167328260096 169660115072 179022247936 181120164904 193897274368 196169508052 206994474176 221596884992 224193723488 236565113344 249619177472 256221398272 259792051204 270360129536 292824455168 296905201376 313288933888 339320230144 343296639091 358044495872 362240329808 387794548736 392339016104 413988948352 448387446976 454636089607 473130226688 512442796544 519584102408 540720259072 585648910336 593810402752 626577867776 678640460288 686593278182 716088991744 724480659616 775589097472 784678032208 827977896704 896774893952 909272179214 946260453376 1024885593088 1039168204816 1171297820672 1187620805504 1253155735552 1357280920576 1373186556364 1448961319232 1551178194944 1569356064416 1655955793408 1793549787904 1818544358428 1892520906752 2049771186176 2078336409632 2375241611008 2403076473637 2506311471104 2714561841152 2746373112728 2897922638464 3138712128832 3311911586816 3587099575808 3637088716856 3785041813504 4099542372352 4156672819264 4750483222016 4806152947274 5012622942208 5429123682304 5492746225456 5795845276928 6277424257664 6623823173632 7174199151616 7274177433712 8199084744704 8313345638528 9500966444032 9612305894548 10858247364608 10985492450912 11591690553856 12554848515328 13247646347264 14348398303232 14548354867424 16626691277056 16821535315459 19001932888064 19224611789096 21970984901824 23183381107712 25109697030656 26495292694528 28696796606464 29096709734848 33253382554112 33643070630918 38003865776128 38449223578192 43941969803648 46366762215424 50219394061312 57393593212928 58193419469696 66506765108224 67286141261836 76007731552256 76898447156384 87883939607296 92733524430848 100438788122624 116386838939392 133013530216448 134572282523672 153796894312768 175767879214592 185467048861696 200877576245248 232773677878784 266027060432896 269144565047344 307593788625536 351535758429184 401755152490496 465547355757568 532054120865792 538289130094688 615187577251072 703071516858368 931094711515136 1076578260189376 1230375154502144 1406143033716736 1862189423030272 2153156520378752 2460750309004288 2812286067433472 3724378846060544 4306313040757504 4921500618008576 8612626081515008 9843001236017152 17225252163030016 19686002472034304 34450504326060032 68901008652120064 137802017304240128
• Sum of all divisors σ(n): 330653068383777600
• Sum of proper divisors (its aliquot sum) s(n): 192851051079537472
• 137802017304240128 is an abundant number, because the sum of its proper divisors (192851051079537472) is greater than itself. Its abundance is 55049033775297344

Bases of 137802017304240128

• Binary: 111101001100100100011010001100010110000000110000000000000₂
• Hexadecimal: 0x1E9923462C06000
• Base-36: 11OUQKT4AKU8

Squares and roots of 137802017304240128

• 137802017304240128 squared (137802017304240128²) is 18989395973118095674038407485456384
• 137802017304240128 cubed (137802017304240128³) is 2616777072484687624585601073949479251017936406577152
• The square root of 137802017304240128 is 371216941.0253795623
• The cube root of 137802017304240128 is 516517.6801183803

Scales and comparisons

• 137,802,017,304,240,128 seconds is equal to 4,381,677,900 years, 33 weeks, 5 days, 2 hours, 42 minutes, 8 seconds.
• To count from 1 to 137,802,017,304,240,128 would take you about thirteen billion, one hundred forty-five million, thirty-three thousand, seven hundred one 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 137802017304240128 cubic inches would be around 43043.1 feet tall.

Recreational maths with 137802017304240128

• 137802017304240128 backwards is 821042403710208731
• The number of decimal digits it has is: 18
• The sum of 137802017304240128's digits is 53
• More coming soon!