13135171864815

Names of 13135171864815

• Cardinal: 13135171864815 can be written as Thirteen trillion, one hundred thirty-five billion, one hundred seventy-one million, eight hundred sixty-four thousand, eight hundred fifteen.

Scientific notation

• Scientific notation: 1.3135171864815 × 10¹³

Factors of 13135171864815

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 99

Divisors of 13135171864815

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 3 5 7 9 11 13 15 21 23 27 33 35 37 39 45 49 55 63 65 69 77 81 91 99 105 111 115 117 135 143 147 161 165 185 189 195 207 231 243 245 253 259 273 297 299 315 333 343 345 351 385 405 407 429 441 455 481 483 495 539 555 567 585 621 637 693 715 735 759 777 805 819 851 891 897 945 999 1001 1029 1035 1053 1127 1155 1215 1221 1265 1287 1295 1323 1365 1369 1443 1449 1485 1495 1617 1665 1701 1715 1755 1771 1813 1863 1911 2035 2079 2093 2145 2205 2277 2331 2401 2405 2415 2457 2553 2673 2691 2695 2835 2849 2997 3003 3087 3105 3159 3185 3289 3367 3381 3465 3663 3773 3795 3861 3885 3969 4095 4107 4255 4329 4347 4455 4459 4485 4851 4995 5005 5145 5265 5291 5313 5439 5589 5635 5733 5957 6105 6237 6279 6435 6615 6831 6845 6993 7007 7203 7215 7245 7371 7659 7889 8073 8085 8505 8547 8855 8991 9009 9065 9261 9315 9361 9555 9583 9867 10101 10143 10395 10465 10989 11063 11319 11385 11583 11655 11907 12005 12285 12321 12397 12691 12765 12987 13041 13365 13377 13455 14245 14553 14651 14985 15015 15059 15435 15795 15873 15939 16317 16445 16835 16905 17199 17797 17871 18315 18711 18837 18865 19305 19845 19943 20493 20535 20979 21021 21609 21645 21735 22113 22295 22977 23023 23569 23667 24219 24255 25641 26411 26455 26565 27027 27195 27783 27945 28083 28665 28749 29601 29785 30303 30429 31185 31213 31395 31487 32967 33189 33957 34155 34749 34965 35035 36015 36855 36963 37037 37191 38073 38295 38961 39123 39445 40131 40365 41699 42735 43659 43953 44955 45045 45177 46305 46805 47619 47817 47915 48951 49049 49335 50505 50715 51597 53391 53613 54945 55223 55315 56511 56595 57915 59535 59829 61479 61605 61985 62937 63063 63455 64827 64935 65205 65527 66885 67081 68931 69069 70707 71001 72657 72765 73255 75295 76923 77441 79233 79365 79695 81081 81585 83349 84249 85995 86247 86779 88803 88837 88985 89355 90909 91287 93555 93639 94185 94461 98901 99567 99715 101871 102465 102557 104895 105105 105413 108045 110565 110889 111111 111573 114219 114885 115115 116883 117845 118335 120393 121095 121693 124579 125097 128205 130977 131859 132055 135135 135531 138915 139601 140415 142857 143451 143745 146853 147147 148005 151515 152145 154791 156065 157435 160173 160839 161161 164835 164983 165669 165945 169533 169785 173745 179487 184815 185185 185955 189189 190365 194481 194805 195615 195767 196581 200655 201243 206793 207207 208495 212121 213003 218295 219765 220409 225885 230769 232323 237699 238095 239085 243243 244755 245245 252747 257985 258741 259259 260337 266409 266511 266955 268065 272727 273861 276115 280917 282555 283383 291893 298701 299145 305613 307395 307671 314685 315315 316239 324135 327635 332667 333333 334719 335405 342657 343343 344655 345345 346357 353535 355005 361179 363285 365079 373737 375291 384615 387205 395577 396165 405405 406593 409331 416745 418803 421245 428571 430353 431235 433895 440559 441441 444015 444185 454545 456435 458689 468195 469567 472305 480519 482517 483483 494505 494949 497007 497835 508599 509355 512785 527065 538461 542087 554445 555555 557865 567567 571095 583443 584415 587301 589743 601965 603729 607453 608465 621621 622895 625485 636363 639009 654885 659295 661227 677655 692307 696969 698005 713097 714285 717255 717899 734265 735735 737891 758241 773955 776223 777777 781011 799227 799533 800865 804195 805805 818181 824915 828345 842751 847665 850149 851851 872053 875679 896103 897435 916839 923013 945945 948717 972405 977207 978835 982905 999999 1004157 1006215 1027971 1030029 1033965 1036035 1039071 1060605 1065015 1083537 1095237 1102045 1121211 1125873 1128127 1153845 1154881 1161615 1186731 1188495 1216215 1219779 1227993 1256409 1263735 1285713 1293705 1296295 1301685 1324323 1332045 1332555 1363635 1369305 1370369 1376067 1404585 1408701 1416915 1441557 1447551 1450449 1459465 1484847 1491021 1493505 1528065 1538355 1542863 1581195 1615383 1626261 1663335 1666665 1673595 1702701 1713285 1716715 1731785 1761903 1769229 1805895 1811187 1814813 1822359 1825395 1864863 1868685 1876455 1909089 1917027 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6129753 6139965 6272721 6282045 6417873 6428565 6461091 6621615 6641019 6851845 6880335 6999993 7029099 7043505 7195797 7207785 7237755 7252245 7273497 7424235 7455105 7584759 7651341 7666659 7714315 7848477 7881111 7896889 8076915 8131305 8307117 8513505 8538453 8595951 8794863 8809515 8846145 8999991 9055935 9074065 9111795 9270261 9324315 9351639 9545445 9585135 9592583 9632469 9857133 9860907 9918405 10090899 10132857 10153143 10216255 10393929 10454535 10696455 10768485 10800041 11051937 11068365 11307681 11373615 11383827 11643345 11666655 11715165 11918907 11992995 12122495 12333321 12384603 12641265 12678309 12703691 12752235 12777765 13054041 13080795 13135185 13363623 13419189 13441545 13507923 13845195 13885767 14230755 14326585 14636349 14658105 14999985 15062355 15419565 15450435 15495711 15586065 15857127 15923061 16054115 16300683 16333317 16401231 16428555 16434845 16818165 16888095 16921905 16971493 17323215 17800965 17853129 17888871 18296685 18313113 18389259 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56538405 56919135 58149819 59594535 59769171 60171657 61666605 61923015 62999937 63391545 63518455 65270205 65461473 66818115 67095945 67148081 67427283 67539615 68999931 69428835 70636293 70929999 71072001 73181745 75600287 77363559 77478555 79153767 79285635 79615305 79686789 81503415 81666585 82006155 83432349 84164751 84857465 86333247 86692221 88748163 89265645 89444355 91378287 91565565 91946295 93545361 94090815 94555461 96916365 97200369 99467433 99615285 100286095 102454443 104999895 105436485 107936955 108469977 109102455 110999889 111461427 112378805 114104781 114333219 114999885 117727155 118216665 118453335 118800451 121571307 124606755 124971903 125222097 128076795 128191791 128939265 131727141 131922945 132811315 139053915 139461399 140274585 140400533 143888745 144487035 146999853 147611079 147856995 147913605 151363485 152297145 152743437 155908935 157592435 160999839 162000615 164818017 165503331 165779055 169615215 170757405 174449457 179307513 180514971 180783295 184999815 185769045 190174635 190555365 195810615 196384419 200454345 201444243 202281849 202618845 206999793 208286505 208703495 211908879 213216003 213652985 219545235 220629409 226800861 232090677 232435665 237461301 237856905 239060367 244999755 246018465 254572395 258999741 260076663 266244489 267796935 268333065 274134861 274696695 275838885 280636083 283666383 290749095 291601107 292184893 298845855 300858285 307363329 314999685 325409931 327307365 332999667 335740405 337136415 342999657 344999655 353181465 354649995 355360005 356401353 364713921 374915709 375666291 378001435 384575373 386817795 395768835 398433945 417161745 418384197 420823755 421201599 431666235 433461105 440999559 443740815 456891435 458230311 467726805 470036567 472777305 482999517 486001845 494454051 496509993 497337165 512272215 541544913 542349885 554999445 557307135 570523905 571666095 589153257 594002255 604332729 606845547 607856535 624859515 626110485 639648009 640958955 658635705 661888227 680402583 696272031 697306995 702002665 717181101 734999265 738055395 763717185 776999223 780229989 798733467 804999195 824090085 827516655 831603157 850999149 872247285 874803321 876554679 896537565 902574855 922089987 976229793 981922095 982803731 1007221215 1011409245 1028998971 1034998965 1059544395 1066080015 1069204059 1094141763 1103147045 1126998873 1134004305 1153726119 1160453385 1187306505 1195301835 1255152591 1263604797 1294998705 1300383315 1331222445 1370674305 1374690933 1403180415 1410109701 1418331915 1448998551 1458005535 1460924465 1483362153 1536816645 1544405863 1624634739 1627049655 1664998335 1714998285 1782006765 1812998187 1820536641 1823569605 1874578545 1878331455 1918944027 1922876865 1985664681 2041207749 2091920985 2106007995 2151543303 2204997795 2291151555 2330997669 2350182835 2414997585 2472270255 2482549965 2494809471 2552997447 2624409963 2629664037 2707724565 2928689379 2945766285 2948411193 3021663645 3034227735 3086996913 3198240045 3207612177 3309441135 3380996619 3402012915 3461178357 3481360155 3585905505 3790814391 3884996115 3901149945 3993667335 4124072799 4158015785 4230329103 4254995745 4374016605 4382773395 4610449935 4633217589 4873904217 4881148965 4914018655 5144994855 5346020295 5438994561 5461609923 5470708815 5634994365 5768630595 5956994043 6123623247 6275762955 6318023985 6454629909 6873454665 7050548505 7244992755 7416810765 7484428413 7658992341 7722029315 7888992111 8123173695 8786068137 8845233579 9064990935 9102683205 9594720135 9622836531 9928323405 10142989857 10206038745 10383535071 10757716515 10810841041 11372443173 11654988345 12474047355 12690987309 12764987235 13122049815 13148320185 13899652767 14643446895 14742055965 15434984565 16038060885 16316983683 16904983095 17305891785 17870982129 18370869741 18954071955 20620363995 21151645515 22453285239 23166087945 23666976333 24369521085 26535700737 27194972805 27308049615 28868509593 29784970215 30618116235 32273149545 32432523123 34117329519 37422142065 38072961927 38294961705 39444960555 41698958301 43930340685 44226167895 48114182655 50714949285 51917675355 53612946387 54054205205 56862215865 63454936545 67359855717 69498263835 71000928999 79607102211 81584918415 89354910645 91854348705 97297569369 112266426195 114218885781 118334881665 125096874903 132678503685 144342547965 162162615615 170586647595 190364809635 202079567151 208494791505 238821306633 268064731935 291892708107 336799278585 355004644995 375290624709 398035511055 486487846845 571094428905 625484374515 875678124321 1010397835755 1194106533165 1459463540535 1876453123545 2627034372963 4378390621605 13135171864815
• Sum of all divisors σ(n): 34704066249216
• Sum of proper divisors (its aliquot sum) s(n): 21568894384401
• 13135171864815 is an abundant number, because the sum of its proper divisors (21568894384401) is greater than itself. Its abundance is 8433722519586

Bases of 13135171864815

• Binary: 10111111001001000101010000001100100011101111₂
• Hexadecimal: 0xBF24540C8EF
• Base-36: 4NM7Q6RXR

Squares and roots of 13135171864815

• 13135171864815 squared (13135171864815²) is 172532739918227564634984225
• 13135171864815 cubed (13135171864815³) is 2266247191133346550776041687481357543375
• The square root of 13135171864815 is 3624247.7653735265
• The cube root of 13135171864815 is 23594.5620100169

Scales and comparisons

• 13,135,171,864,815 seconds is equal to 417,657 years, 43 weeks, 3 days, 3 hours, 20 minutes, 15 seconds.
• To count from 1 to 13,135,171,864,815 would take you about one million, forty-four thousand, one hundred forty-four 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 13135171864815 cubic inches would be around 1966.2 feet tall.

Recreational maths with 13135171864815

• 13135171864815 backwards is 51846817153131
• The number of decimal digits it has is: 14
• The sum of 13135171864815's digits is 54
• More coming soon!