72149090798312640

Names of 72149090798312640

• Cardinal: 72149090798312640 can be written as Seventy-two quadrillion, one hundred forty-nine trillion, ninety billion, seven hundred ninety-eight million, three hundred twelve thousand, six hundred forty.

Scientific notation

• Scientific notation: 7.214909079831264 × 10¹⁶

Factors of 72149090798312640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 832506

Divisors of 72149090798312640

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 392 420 441 448 480 490 504 560 563 576 588 630 672 720 735 784 840 882 960 980 1008 1093 1120 1126 1176 1260 1344 1440 1470 1568 1680 1689 1764 1960 2016 2186 2205 2240 2252 2352 2520 2815 2880 2940 3136 3279 3360 3378 3528 3920 3941 4032 4372 4410 4504 4704 5040 5067 5465 5630 5880 6558 6720 6756 7056 7651 7840 7882 8445 8744 8820 9008 9408 9837 10080 10134 10930 11260 11760 11823 13116 13512 14112 15302 15680 15764 16395 16890 17488 17640 18016 19674 19705 20160 20268 21860 22520 22953 23520 23646 25335 26232 27024 27587 28224 30604 31528 32790 33780 34976 35280 35469 36032 38255 39348 39410 40536 43720 45040 45906 47040 47292 49185 50670 52464 53557 54048 55174 59115 61208 63056 65580 67560 68859 69952 70560 70938 76510 78696 78820 81072 82761 87440 90080 91812 94584 98370 101340 104928 107114 108096 110348 114765 118230 122416 126112 131160 135120 137718 137935 141120 141876 153020 157392 157640 160671 162144 165522 174880 177345 180160 183624 189168 196740 202680 209856 214228 220696 229530 236460 244832 248283 252224 262320 267785 270240 275436 275870 283752 306040 314784 315280 321342 324288 331044 344295 349760 354690 367248 378336 393480 405360 413805 428456 441392 459060 472920 482013 489664 496566 524640 535570 540480 550872 551740 567504 612080 615359 629568 630560 642684 662088 688590 709380 734496 756672 786960 803355 810720 827610 830833 856912 882784 918120 945840 964026 993132 1049280 1071140 1101744 1103480 1135008 1224160 1230718 1241415 1261120 1285368 1324176 1377180 1418760 1468992 1573920 1606710 1621440 1655220 1661666 1713824 1765568 1836240 1846077 1891680 1928052 1986264 2142280 2203488 2206960 2270016 2410065 2448320 2461436 2482830 2492499 2570736 2648352 2754360 2837520 3076795 3147840 3213420 3310440 3323332 3427648 3672480 3692154 3783360 3856104 3972528 4154165 4284560 4307513 4406976 4413920 4820130 4922872 4965660 4984998 5141472 5296704 5508720 5538231 5675040 5815831 6153590 6426840 6620880 6646664 7344960 7384308 7477497 7712208 7945056 8308330 8569120 8615026 8827840 9230385 9640260 9845744 9931320 9969996 10282944 11017440 11076462 11350080 11631662 12307180 12462495 12853680 12922539 13241760 13293328 14768616 14954994 15424416 15890112 16616660 17138240 17230052 17447493 18460770 19280520 19691488 19862640 19939992 21537565 22034880 22152924 23263324 24614360 24924990 25707360 25845078 26483520 26586656 27691155 29079155 29537232 29909988 30152591 30848832 33233320 34460104 34894986 36921540 37387485 38561040 38767617 39382976 39725280 39879984 40710817 43075130 44305848 46526648 49228720 49849980 51414720 51690156 52342479 53173312 55382310 58158310 59074464 59819976 60305182 64612695 66466640 68920208 69789972 73843080 74774970 77122080 77535234 79450560 79759968 81421634 86150260 87237465 88611696 90457773 93053296 98457440 99699960 103380312 104684958 110764620 116316620 118148928 119639952 120610364 122132451 129225390 132933280 137840416 139579944 147686160 149549940 150762955 154244160 155070468 159519936 162843268 172300520 174474930 177223392 180915546 186106592 193838085 196914880 199399920 203554085 206760624 209369916 221529240 232633240 239279904 241220728 244264902 258450780 261712395 265866560 271373319 275680832 279159888 295372320 299099880 301525910 310140936 325686536 344601040 348949860 354446784 361831092 366397353 372213184 387676170 398799840 407108170 413521248 418739832 443058480 452288865 465266480 467758979 478559808 482441456 488529804 516901560 523424790 542746638 558319776 590744640 598199760 603051820 610662255 620281872 651373072 689202080 697899720 723662184 732794706 775352340 797599680 814216340 827042496 837479664 886116960 904577730 908100469 930532960 935517958 964882912 977059608 1033803120 1046849580 1085493276 1116639552 1196399520 1206103640 1221324510 1240563744 1302746144 1356866595 1378404160 1395799440 1403276937 1447324368 1465589412 1550704680 1628432680 1674959328 1772233920 1809155460 1816200938 1831986765 1861065920 1871035916 1929765824 1954119216 2067606240 2093699160 2170986552 2338794895 2392799040 2412207280 2442649020 2481127488 2605492288 2713733190 2724301407 2791598880 2806553874 2894648736 2931178824 3101409360 3256865360 3274312853 3349918656 3618310920 3632401876 3663973530 3742071832 3908238432 4135212480 4187398320 4209830811 4341973104 4540502345 4677589790 4824414560 4885298040 5427466380 5448602814 5583197760 5613107748 5789297472 5862357648 6202818720 6356703283 6513730720 6548625706 7016384685 7236621840 7264803752 7327947060 7484143664 7816476864 8172904221 8374796640 8419661622 8683946208 9081004690 9355179580 9648829120 9770596080 9822938559 10854932760 10897205628 11226215496 11724715296 12405637440 12713406566 13027461440 13097251412 13621507035 14032769370 14473243680 14529607504 14655894120 14968287328 16345808442 16371564265 16749593280 16839323244 17367892416 18162009380 18710359160 19070109849 19541192160 19645877118 21049154055 21709865520 21794411256 22452430992 22920189971 23449430592 25426813132 26194502824 27243014070 28065538740 28946487360 29059215008 29311788240 29468815677 29936574656 31783516415 32691616884 32743128530 33678646488 36324018760 37420718320 38140219698 39082384320 39291754236 40864521105 42098308110 43419731040 43588822512 44496922981 44904861984 45840379942 49114692795 50853626264 52389005648 54486028140 56131077480 57210329547 58118430016 58623576480 58937631354 63567032830 65383233768 65486257060 67357292976 68760569913 72648037520 74841436640 76280439396 78583508472 81729042210 84196616220 86839462080 87177645024 88993845962 89809723968 91680759884 95350549245 98229385590 101707252528 104778011296 108972056280 112262154960 114420659094 114600949855 117247152960 117875262708 127134065660 130766467536 130972514120 133490768943 134714585952 137521139826 145296075040 147344078385 149682873280 152560878792 157167016944 163458084420 168393232440 174355290048 177987691924 183361519768 190701098490 196458771180 203414505056 206281709739 209556022592 217944112560 222484614905 224524309920 228841318188 229201899710 235750525416 254268131320 261532935072 261945028240 266981537886 269429171904 275042279652 286051647735 290592150080 294688156770 305121757584 314334033888 326916168840 336786464880 343802849565 355975383848 366723039536 381402196980 392917542360 400472306829 406829010112 412563419478 435888225120 444969229810 449048619840 457682636376 458403799420 471501050832 508536262640 511260564047 523065870144 523890056480 533963075772 550084559304 572103295470 589376313540 610243515168 628668067776 653832337680 667453844715 673572929760 687605699130 711950767696 733446079072 762804393960 785835084720 800944613658 825126838956 871776450240 889938459620 915365272752 916807598840 943002101664 1017072525280 1022521128094 1031408548695 1047780112960 1067926151544 1100169118608 1144206590940 1178752627080 1220487030336 1307664675360 1334907689430 1347145859520 1375211398260 1423901535392 1466892158144 1525608787920 1533781692141 1571670169440 1601889227316 1650253677912 1779876919240 1830730545504 1833615197680 1886004203328 2002361534145 2034145050560 2045042256188 2062817097390 2135852303088 2200338237216 2288413181880 2357505254160 2556302820235 2615329350720 2669815378860 2750422796520 2847803070784 3051217575840 3067563384282 3143340338880 3203778454632 3300507355824 3559753838480 3578823948329 3661461091008 3667230395360 4004723068290 4090084512376 4125634194780 4271704606176 4400676474432 4576826363760 4601345076423 4715010508320 5112605640470 5339630757720 5500845593040 6102435151680 6135126768564 6407556909264 6601014711648 7119507676960 7157647896658 7334460790720 7668908460705 8009446136580 8180169024752 8251268389560 8543409212352 9153652727520 9202690152846 9430021016640 10225211280940 10679261515440 10736471844987 11001691186080 12270253537128 12815113818528 13202029423296 14239015353920 14315295793316 15337816921410 16018892273160 16360338049504 16502536779120 17894119741645 18307305455040 18405380305692 20450422561880 21358523030880 21472943689974 22003382372160 23006725382115 24540507074256 25051767638303 25630227637056 28630591586632 30675633842820 32037784546320 32209415534961 32720676099008 33005073558240 35788239483290 36810760611384 40900845123760 42717046061760 42945887379948 46013450764230 49081014148512 50103535276606 53682359224935 57261183173264 61351267685640 64075569092640 64418831069922 66010147116480 71576478966580 73621521222768 75155302914909 81801690247520 85891774759896 92026901528460 98162028297024 100207070553212 107364718449870 114522366346528 122702535371280 125258838191515 128151138185280 128837662139844 143152957933160 147243042445536 150310605829818 161047077674805 163603380495040 171783549519792 184053803056920 200414141106424 214729436899740 225465908744727 229044732693056 245405070742560 250517676383030 257675324279688 286305915866320 294486084891072 300621211659636 322094155349610 343567099039584 368107606113840 375776514574545 400828282212848 429458873799480 450931817489454 490810141485120 501035352766060 515350648559376 572611831732640 601242423319272 644188310699220 687134198079168 736215212227680 751553029149090 801656564425696 858917747598960 901863634978908 1002070705532120 1030701297118752 1127329543723635 1145223663465280 1202484846638544 1288376621398440 1472430424455360 1503106058298180 1603313128851392 1717835495197920 1803727269957816 2004141411064240 2061402594237504 2254659087447270 2404969693277088 2576753242796880 3006212116596360 3435670990395840 3607454539915632 4008282822128480 4509318174894540 4809939386554176 5153506485593760 6012424233192720 7214909079831264 8016565644256960 9018636349789080 10307012971187520 12024848466385440 14429818159662528 18037272699578160 24049696932770880 36074545399156320 72149090798312640
• Sum of all divisors σ(n): 289456872951418848
• Sum of proper divisors (its aliquot sum) s(n): 217307782153106208
• 72149090798312640 is an abundant number, because the sum of its proper divisors (217307782153106208) is greater than itself. Its abundance is 145158691354793568

Bases of 72149090798312640

• Binary: 100000000010100110011011100111111111001101001110011000000₂
• Hexadecimal: 0x10053373FE69CC0
• Base-36: JQEPUQQZSG0

Squares and roots of 72149090798312640

• 72149090798312640 squared (72149090798312640²) is 5205491303023161660298271183769600
• 72149090798312640 cubed (72149090798312640³) is 375571464671644867326869560661695465815034527744000
• The square root of 72149090798312640 is 268605827.9306549969
• The cube root of 72149090798312640 is 416303.7160427653

Scales and comparisons

• 72,149,090,798,312,640 seconds is equal to 2,294,117,915 years, 30 weeks, 6 days, 18 hours, 24 minutes.
• To count from 1 to 72,149,090,798,312,640 would take you about six billion, eight hundred eighty-two million, three hundred fifty-three thousand, seven hundred forty-six 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 72149090798312640 cubic inches would be around 34692 feet tall.

Recreational maths with 72149090798312640

• 72149090798312640 backwards is 04621389709094127
• 72149090798312640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 72149090798312640's digits is 72
• More coming soon!