13071135663040

Names of 13071135663040

• Cardinal: 13071135663040 can be written as Thirteen trillion, seventy-one billion, one hundred thirty-five million, six hundred sixty-three thousand and forty.

Scientific notation

• Scientific notation: 1.307113566304 × 10¹³

Factors of 13071135663040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 616

Divisors of 13071135663040

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 52 56 64 65 68 70 80 85 91 104 112 119 130 136 140 160 170 182 208 221 224 238 241 260 272 280 320 331 340 364 416 442 448 455 476 482 520 544 560 595 662 680 728 832 884 910 952 964 1040 1088 1105 1120 1190 1205 1324 1360 1456 1547 1655 1687 1768 1820 1904 1928 2080 2210 2240 2317 2380 2410 2648 2720 2912 3094 3133 3310 3374 3536 3640 3808 3856 4097 4160 4303 4420 4634 4760 4820 5296 5440 5627 5824 6188 6266 6620 6748 7072 7280 7616 7712 7735 8194 8435 8606 8840 9268 9520 9640 10592 11254 11585 12376 12532 13240 13496 14144 14560 15424 15470 15665 16388 16870 17212 17680 18536 19040 19280 20485 21184 21515 21931 22508 23170 24752 25064 26480 26992 28135 28679 29120 30121 30940 31330 32776 33740 34424 35360 37072 38080 38560 39389 40970 43030 43862 45016 46340 49504 50128 52960 53261 53984 56270 57358 60242 61880 62660 65552 67480 68848 70720 73151 74144 77120 78778 79771 81940 86060 87724 90032 92680 99008 100256 105920 106522 107968 109561 109655 112540 114716 120484 123760 125320 131104 134960 137696 143395 146302 148288 150605 157556 159542 163880 172120 175448 180064 185360 196945 200512 213044 219122 219310 225080 229432 240968 247520 250640 262208 266305 269920 275392 286790 292604 301210 315112 319084 327760 344240 350896 360128 365755 370720 372827 393890 398855 426088 438244 438620 450160 458864 481936 495040 501280 512057 532610 539840 547805 558397 573580 585208 602420 630224 638168 655520 688480 701792 731510 741440 745654 766927 787780 797710 852176 876488 877240 900320 917728 963872 1002560 1024114 1037023 1065220 1095610 1116794 1147160 1170416 1204840 1260448 1276336 1311040 1356107 1376960 1403584 1424293 1463020 1491308 1533854 1575560 1595420 1704352 1752976 1754480 1800640 1835456 1862537 1864135 1927744 2048228 2074046 2130440 2191220 2233588 2294320 2340832 2409680 2520896 2552672 2560285 2712214 2791985 2848586 2926040 2982616 3067708 3151120 3190840 3408704 3505952 3508960 3725074 3728270 3834635 4096456 4148092 4260880 4382440 4467176 4588640 4681664 4819360 5105344 5120570 5185115 5424428 5583970 5697172 5852080 5965232 6135416 6302240 6381680 6780535 7011904 7017920 7121465 7259161 7450148 7456540 7669270 8192912 8296184 8521760 8764880 8934352 9177280 9312685 9492749 9638720 9970051 10241140 10370230 10848856 11167940 11394344 11704160 11930464 12270832 12604480 12763360 13037759 13561070 14242930 14518322 14900296 14913080 15338540 16385824 16592368 17043520 17529760 17629391 17868704 18625370 18985498 19940102 20482280 20740460 21697712 22335880 22788688 23408320 23860928 24212981 24541664 25526720 26075518 26404201 27122140 28485860 29036644 29800592 29826160 30677080 32771648 33184736 35059520 35258782 35737408 36295805 37250740 37970996 39880204 40964560 41480920 43395424 44671760 45577376 47463745 48425962 49083328 49850255 52151036 52808402 54244280 56971720 58073288 59601184 59652320 61354160 65188795 66369472 70517564 72591610 74501480 75941992 79760408 81929120 82961840 86790848 88146955 89343520 91154752 94927490 96851924 99700510 104302072 105616804 108488560 113943440 116146576 119202368 119304640 121064905 122708320 123405737 130377590 132021005 141035128 145183220 149002960 151883984 159520816 163858240 165923680 169490867 176293910 178687040 184829407 189854980 193703848 199401020 208604144 211233608 216977120 227886880 232293152 242129810 245416640 246811474 260755180 264042010 282070256 290366440 298005920 303767968 319041632 331847360 338981734 343254613 352587820 369658814 379709960 387407696 398802040 417208288 422467216 433954240 448871417 455773760 464586304 484259620 493622948 521510360 528084020 564140512 580732880 596011840 607535936 617028685 638083264 677963468 686509226 705175640 739317628 759419920 774815392 797604080 834416576 844934432 847454335 897742834 924147035 968519240 987245896 1043020720 1056168040 1128281024 1161465760 1234057370 1355926936 1373018452 1410351280 1478635256 1518839840 1549630784 1595208160 1689868864 1694908670 1716273065 1795485668 1848294070 1937038480 1974491792 2086041440 2112336080 2244357085 2322931520 2402782291 2468114740 2711853872 2746036904 2820702560 2957270512 3037679680 3142099919 3190416320 3389817340 3432546130 3590971336 3696588140 3874076960 3948983584 4172082880 4224672160 4488714170 4805564582 4936229480 5423707744 5492073808 5641405120 5835328421 5914541024 6284199838 6779634680 6865092260 7181942672 7393176280 7748153920 7897967168 8449344320 8977428340 9611129164 9872458960 10847415488 10984147616 11670656842 11829082048 12013911455 12568399676 13559269360 13730184520 14363885344 14786352560 15710499595 17954856680 19222258328 19744917920 21968295232 23341313684 24027822910 25136799352 27118538720 27460369040 28727770688 29176642105 29572705120 31420999190 35909713360 38444516656 39489835840 40847298947 46682627368 48055645820 50273598704 54237077440 54920738080 58353284210 59145410240 62841998380 71819426720 76889033312 81694597894 93365254736 96111291640 100547197408 109841476160 116706568420 125683996760 143638853440 153778066624 163389195788 186730509472 192222583280 201094394816 204236494735 233413136840 251367993520 326778391576 373461018944 384445166560 408472989470 466826273680 502735987040 653556783152 768890333120 816945978940 933652547360 1005471974080 1307113566304 1633891957880 1867305094720 2614227132608 3267783915760 6535567831520 13071135663040
• Sum of all divisors σ(n): 40853652884352
• Sum of proper divisors (its aliquot sum) s(n): 27782517221312
• 13071135663040 is an abundant number, because the sum of its proper divisors (27782517221312) is greater than itself. Its abundance is 14711381558272

Bases of 13071135663040

• Binary: 10111110001101011100011001011110001111000000₂
• Hexadecimal: 0xBE35C65E3C0
• Base-36: 4MSSOOQF4

Squares and roots of 13071135663040

• 13071135663040 squared (13071135663040²) is 170854587521596140422041600
• 13071135663040 cubed (13071135663040³) is 2233263492147524277254567674646462464000
• The square root of 13071135663040 is 3615402.5589192693
• The cube root of 13071135663040 is 23556.1570281033

Scales and comparisons

• 13,071,135,663,040 seconds is equal to 415,621 years, 35 weeks, 3 days, 9 hours, 30 minutes, 40 seconds.
• To count from 1 to 13,071,135,663,040 would take you about one million, thirty-nine thousand and fifty-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 13071135663040 cubic inches would be around 1963 feet tall.

Recreational maths with 13071135663040

• 13071135663040 backwards is 04036653117031
• 13071135663040 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13071135663040's digits is 40
• More coming soon!