13640061736020960

Names of 13640061736020960

• Cardinal: 13640061736020960 can be written as Thirteen quadrillion, six hundred forty trillion, sixty-one billion, seven hundred thirty-six million, twenty thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.364006173602096 × 10¹⁶

Factors of 13640061736020960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 124426

Divisors of 13640061736020960

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 71 72 80 90 96 108 120 135 142 144 160 180 213 216 240 270 284 288 331 355 360 426 432 480 540 568 639 662 710 720 852 864 993 1065 1080 1093 1136 1278 1324 1420 1440 1655 1704 1917 1986 2130 2160 2186 2272 2556 2648 2840 2979 3195 3279 3310 3408 3834 3972 4260 4320 4372 4965 5112 5296 5465 5680 5958 6390 6558 6620 6816 7668 7944 8520 8744 8937 9585 9837 9930 10224 10592 10930 11360 11916 12780 13116 13240 14895 15336 15888 16395 17040 17488 17874 19170 19674 19860 20448 21860 23501 23832 25560 26232 26480 29511 29790 30672 31776 32790 34080 34976 35748 38340 39348 39720 43720 44685 47002 47664 49185 51120 52464 52960 59022 59580 61344 65580 70503 71496 76680 77603 78696 79440 87440 89370 94004 95328 98370 102240 104928 117505 118044 119160 122921 131160 141006 142992 147555 153360 155206 157392 158880 174880 178740 188008 196740 211509 232809 235010 236088 238320 245842 262320 282012 285984 295110 306720 310412 314784 352515 357480 361783 368763 376016 388015 393480 423018 465618 470020 472176 476640 491684 524640 564024 590220 614605 620824 634527 698427 705030 714960 723566 737526 752032 776030 786960 846036 931236 940040 944352 983368 1057545 1085349 1106289 1128048 1164045 1180440 1229210 1241648 1269054 1396854 1410060 1429920 1447132 1475052 1552060 1573920 1692072 1808915 1843815 1862472 1880080 1966736 2095281 2115090 2170698 2212578 2256096 2328090 2360880 2458420 2483296 2538108 2793708 2820120 2894264 2950104 3104120 3172635 3256047 3318867 3384144 3492135 3617830 3687630 3724944 3760160 3933472 4190562 4230180 4341396 4425156 4656180 4721760 4916840 5076216 5426745 5531445 5587416 5640240 5788528 5900208 6208240 6345270 6512094 6637734 6768288 6984270 7235660 7375260 7449888 8381124 8460360 8682792 8727391 8850312 9312360 9768141 9833680 10152432 10476405 10853490 11062890 11174832 11280480 11577056 11800416 12416480 12690540 13024188 13275468 13968540 14471320 14750520 16280235 16594335 16762248 16920720 17365584 17454782 17700624 18624720 19536282 19667360 20304864 20952810 21706980 22125780 22349664 25381080 25686593 26048376 26182173 26550936 27937080 28942640 29501040 32560470 33188670 33524496 33841440 34731168 34909564 35401248 37249440 39072564 40686851 41905620 43413960 43636955 44251560 48840705 50762160 51373186 52096752 52364346 53101872 55874160 57885280 59002080 65120940 66377340 67048992 69819128 77059779 78145128 78546519 81373702 83811240 86827920 87273910 88503120 97681410 101524320 102746372 104193504 104728692 106203744 111748320 122060553 128432965 130241880 130910865 132754680 134352653 139638256 154119558 156290256 157093038 162747404 167622480 173655840 174547820 177006240 195362820 203434255 205492744 209457384 231179337 235639557 244121106 256865930 260483760 261821730 265509360 268705306 279276512 308239116 312580512 314186076 325494808 335244960 349095640 366181659 385298895 390725640 392732595 403057959 406868510 410985488 418914768 462358674 471279114 488242212 513731860 520967520 523643460 531018720 537410612 610302765 616478232 628372152 650989616 671763265 693538011 698191280 732363318 770597790 781451280 785465190 806115918 813737020 821970976 837829536 924717348 942558228 976484424 1027463720 1047286920 1074821224 1098544977 1155896685 1178197785 1209173877 1220605530 1232956464 1256744304 1301979232 1343526530 1387076022 1396382560 1464726636 1541195580 1562902560 1570930380 1612231836 1627474040 1830908295 1849434696 1885116456 1952968848 2015289795 2054927440 2094573840 2149642448 2197089954 2311793370 2356395570 2418347754 2441211060 2465912928 2513488608 2687053060 2774152044 2888766421 2929453272 3082391160 3141860760 3224463672 3254948080 3467690055 3627521631 3661816590 3698869392 3770232912 3905937696 4030579590 4109854880 4189147680 4299284896 4394179908 4623586740 4712791140 4836695508 4882422120 5374106120 5492724885 5548304088 5777532842 5858906544 6045869385 6164782320 6283721520 6448927344 6509896160 6935380110 7255043262 7323633180 7397738784 7540465824 8061159180 8666299263 8788359816 9247173480 9425582280 9539038363 9673391016 9764844240 10748212240 10985449770 11096608176 11555065684 11717813088 12091738770 12329564640 12567443040 12897854688 13870760220 14443832105 14510086524 14647266360 16122318360 17332598526 17576719632 18137608155 18494346960 18851164560 19078076726 19346782032 19529688480 21496424480 21970899540 22193216352 23110131368 24183477540 25998897789 27741520440 28617115089 28887664210 29020173048 29294532720 32244636720 34665197052 35153439264 36275216310 36988693920 37702329120 38156153452 38693564064 43331496315 43941799080 44470728143 46220262736 47695191815 48366955080 51997795578 55483040880 57234230178 57775328420 58040346096 58589065440 64489273440 69330394104 72550432620 76312306904 77996693367 85851345267 86662992630 87883598160 88941456286 92440525472 95390383630 96733910160 103995591156 110966081760 114468460356 115550656840 116080692192 129994488945 133412184429 138660788208 143085575445 145100865240 152624613808 155993386734 171702690534 173325985260 175767196320 177882912572 190780767260 193467820320 207991182312 222353640715 228936920712 231101313680 257554035801 259988977890 266824368858 277321576416 286171150890 290201730480 305249227616 311986773468 343405381068 346651970520 355765825144 381561534520 389983466835 400236553287 415982364624 429256726335 444707281430 457873841424 462202627360 515108071602 519977955780 533648737716 572342301780 580403460960 623973546936 667060922145 686810762136 693303941040 711531650288 763123069040 779966933670 800473106574 831964729248 858513452670 889414562860 915747682848 1030216143204 1039955911560 1067297475432 1144684603560 1200709659861 1247947093872 1287770179005 1334121844290 1373621524272 1386607882080 1423063300576 1526246138080 1559933867340 1600946213148 1717026905340 1778829125720 2001182766435 2060432286408 2079911823120 2134594950864 2289369207120 2401419319722 2495894187744 2575540358010 2668243688580 2747243048544 3119867734680 3157421698153 3201892426296 3434053810680 3557658251440 4002365532870 4120864572816 4159823646240 4269189901728 4578738414240 4802838639444 5151080716020 5336487377160 6003548299305 6239735469360 6314843396306 6403784852592 6868107621360 7115316502880 8004731065740 8241729145632 9472265094459 9605677278888 10302161432040 10672974754320 12007096598610 12479470938720 12629686792612 12807569705184 13736215242720 15787108490765 16009462131480 18944530188918 19211354557776 20604322864080 21345949508640 24014193197220 25259373585224 28416795283377 31574216981530 32018924262960 37889060377836 38422709115552 41208645728160 47361325472295 48028386394440 50518747170448 56833590566754 63148433963060 64037848525920 75778120755672 85250385850131 94722650944590 96056772788880 101037494340896 113667181133508 126296867926120 142083976416885 151556241511344 170500771700262 189445301889180 192113545577760 227334362267016 252593735852240 284167952833770 303112483022688 341001543400524 378890603778360 426251929250655 454668724534032 505187471704480 568335905667540 682003086801048 757781207556720 852503858501310 909337449068064 1136671811335080 1364006173602096 1515562415113440 1705007717002620 2273343622670160 2728012347204192 3410015434005240 4546687245340320 6820030868010480 13640061736020960
• Sum of all divisors σ(n): 48603697710704640
• Sum of proper divisors (its aliquot sum) s(n): 34963635974683680
• 13640061736020960 is an abundant number, because the sum of its proper divisors (34963635974683680) is greater than itself. Its abundance is 21323574238662720

Bases of 13640061736020960

• Binary: 110000011101011001000001011010011111010110101111100000₂
• Hexadecimal: 0x3075905A7D6BE0
• Base-36: 3QAZXUTO3C0

Squares and roots of 13640061736020960

• 13640061736020960 squared (13640061736020960²) is 186051284162463125083973559321600
• 13640061736020960 cubed (13640061736020960³) is 2537751002041975714884934760440042364100980736000
• The square root of 13640061736020960 is 116790674.8675636347
• The cube root of 13640061736020960 is 238930.7861178899

Scales and comparisons

• 13,640,061,736,020,960 seconds is equal to 433,711,771 years, 37 weeks, 4 days, 15 hours, 36 minutes.
• To count from 1 to 13,640,061,736,020,960 would take you about one billion, three hundred one million, one hundred thirty-five thousand, three hundred fifteen 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 13640061736020960 cubic inches would be around 19910.9 feet tall.

Recreational maths with 13640061736020960

• 13640061736020960 backwards is 06902063716004631
• 13640061736020960 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13640061736020960's digits is 54
• More coming soon!