137133155404224

Names of 137133155404224

• Cardinal: 137133155404224 can be written as One hundred thirty-seven trillion, one hundred thirty-three billion, one hundred fifty-five million, four hundred four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37133155404224 × 10¹⁴

Factors of 137133155404224

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 6127

Divisors of 137133155404224

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 349 378 392 432 441 448 504 576 588 672 698 756 784 864 882 967 1008 1047 1176 1323 1344 1396 1512 1568 1728 1764 1934 2016 2094 2352 2443 2646 2792 2901 3024 3136 3141 3528 3868 4032 4188 4704 4799 4886 5292 5584 5802 6048 6282 6769 7056 7329 7736 8376 8703 9408 9423 9598 9772 10584 11168 11604 12096 12564 13538 14112 14397 14658 15472 16752 17101 17406 18846 19196 19544 20307 21168 21987 22336 23208 25128 26109 27076 28224 28794 29316 30944 33504 33593 34202 34812 37692 38392 39088 40614 42336 43191 43974 46416 47383 50256 51303 52218 54152 57588 58632 60921 61888 65961 67008 67186 68404 69624 75384 76784 78176 81228 84672 86382 87948 92832 94766 100512 100779 102606 104436 108304 115176 117264 121842 129573 131922 134372 136808 139248 142149 150768 153568 153909 156352 162456 172764 175896 182763 185664 189532 201024 201558 205212 208872 216608 230352 234528 235151 243684 259146 263844 268744 273616 278496 284298 301536 302337 307136 307818 324912 337483 345528 351792 365526 379064 403116 410424 417744 426447 433216 460704 461727 469056 470302 487368 518292 527688 537488 547232 556992 568596 603072 604674 615636 649824 674966 691056 703584 705453 731052 758128 806232 820848 835488 852894 907011 921408 923454 940604 974736 1012449 1036584 1055376 1074976 1094464 1137192 1209348 1231272 1279341 1299648 1349932 1382112 1407168 1410906 1462104 1516256 1612464 1641696 1670976 1674851 1705788 1814022 1846908 1881208 1949472 2024898 2073168 2110752 2116359 2149952 2274384 2362381 2418696 2462544 2558682 2699864 2764224 2821812 2924208 3032512 3037347 3224928 3283392 3349702 3411576 3628044 3693816 3762416 3898944 4049796 4146336 4221504 4232718 4548768 4640633 4724762 4837392 4925088 5024553 5117364 5399728 5643624 5848416 6074694 6349077 6449856 6699404 6823152 7087143 7256088 7387632 7524832 8099592 8292672 8465436 9097536 9112041 9281266 9449524 9674784 9850176 10049106 10234728 10799456 11287248 11696832 11723957 12149388 12698154 13398808 13646304 13921899 14174286 14512176 14775264 15049664 15073659 16199184 16536667 16930872 18224082 18562532 18899048 19349568 20098212 20469456 21261429 21598912 22574496 23447914 24298776 25396308 26797616 27292608 27843798 28348572 29024352 29550528 30147318 32398368 32484431 33073334 33861744 35171871 36448164 37125064 37798096 40196424 40938912 41765697 42522858 45148992 45220977 46895828 48597552 49610001 50792616 53595232 55687596 56697144 58048704 60294636 63784287 64796736 64968862 66146668 67723488 70343742 72896328 74250128 75596192 80392848 81877824 82067699 83531394 85045716 90441954 93791656 97195104 97453293 99220002 101585232 105515613 107190464 111375192 113394288 120589272 125297091 127568574 129937724 132293336 135446976 140687484 145792656 148500256 148830003 151192384 160785696 164135398 167062788 170091432 180883908 187583312 194390208 194906586 198440004 203170464 211031226 222750384 226788576 227391017 241178544 246203097 250594182 255137148 259875448 264586672 281374968 291585312 292359879 297000512 297660006 316546839 321571392 328270796 334125576 340182864 361767816 375166624 389813172 396880008 406340928 422062452 445500768 446490009 453577152 454782034 482357088 492406194 501188364 510274296 519750896 529173344 562749936 583170624 584719758 595320012 633093678 656541592 668251152 680365728 682173051 723535632 738609291 750333248 779626344 793760016 844124904 877079637 891001536 892980018 909564068 964714176 984812388 1002376728 1020548592 1039501792 1058346688 1125499872 1169439516 1190640024 1266187356 1313083184 1336502304 1360731456 1364346102 1447071264 1477218582 1559252688 1587520032 1619580917 1688249808 1754159274 1785960036 1819128136 1969624776 2004753456 2041097184 2046519153 2079003584 2215827873 2250999744 2338879032 2381280048 2532374712 2626166368 2673004608 2728692204 2894142528 2954437164 3118505376 3175040064 3239161834 3376499616 3508318548 3571920072 3638256272 3939249552 4009506912 4082194368 4093038306 4431655746 4677758064 4762560096 4858742751 5064749424 5252332736 5457384408 5908874328 6139557459 6237010752 6478323668 6752999232 7016637096 7143840144 7276512544 7878499104 8019013824 8186076612 8863311492 9355516128 9525120192 9717485502 10129498848 10914768816 11337066419 11817748656 12279114918 12956647336 14033274192 14287680288 14553025088 14576228253 15756998208 16372153224 17726622984 18711032256 19434971004 20258997696 21829537632 22674132838 23635497312 24558229836 25913294672 28066548384 28575360576 29152456506 32744306448 34011199257 35453245968 38869942008 43659075264 43728684759 45348265676 47270994624 49116459672 51826589344 56133096768 58304913012 65488612896 68022398514 70906491936 77739884016 79359464933 87457369518 90696531352 98232919344 102033597771 103653178688 116609826024 130977225792 136044797028 141812983872 155479768032 158718929866 174914739036 181393062704 196465838688 204067195542 233219652048 238078394799 272089594056 306100793313 310959536064 317437859732 349829478072 362786125408 392931677376 408134391084 466439304096 476156789598 544179188112 612201586626 634875719464 699658956144 714235184397 725572250816 816268782168 932878608192 952313579196 1088358376224 1224403173252 1269751438928 1399317912288 1428470368794 1632537564336 1904627158392 2142705553191 2176716752448 2448806346504 2539502877856 2798635824576 2856940737588 3265075128672 3809254316784 4285411106382 4897612693008 5079005755712 5713881475176 6530150257344 7618508633568 8570822212764 9795225386016 11427762950352 15237017267136 17141644425528 19590450772032 22855525900704 34283288851056 45711051801408 68566577702112 137133155404224
• Sum of all divisors σ(n): 470894054400000
• Sum of proper divisors (its aliquot sum) s(n): 333760898995776
• 137133155404224 is an abundant number, because the sum of its proper divisors (333760898995776) is greater than itself. Its abundance is 196627743591552

Bases of 137133155404224

• Binary: 11111001011100011001101000000111100100111000000₂
• Hexadecimal: 0x7CB8CD03C9C0
• Base-36: 1CLY3O1YO0

Squares and roots of 137133155404224

• 137133155404224 squared (137133155404224²) is 18805502311119050056837042176
• 137133155404224 cubed (137133155404224³) is 2578857870885182281106779804637841816551424
• The square root of 137133155404224 is 11710386.6462309435
• The cube root of 137133155404224 is 51568.0635115821

Scales and comparisons

• 137,133,155,404,224 seconds is equal to 4,360,410 years, 8 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,133,155,404,224 would take you about ten million, nine hundred one thousand and twenty-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 137133155404224 cubic inches would be around 4297.3 feet tall.

Recreational maths with 137133155404224

• 137133155404224 backwards is 422404551331731
• The number of decimal digits it has is: 15
• The sum of 137133155404224's digits is 45
• More coming soon!