13215731296768

Names of 13215731296768

• Cardinal: 13215731296768 can be written as Thirteen trillion, two hundred fifteen billion, seven hundred thirty-one million, two hundred ninety-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3215731296768 × 10¹³

Factors of 13215731296768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 130

Divisors of 13215731296768

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 97 104 112 121 128 143 154 169 176 182 194 208 224 242 256 286 308 338 352 364 388 416 448 484 512 572 616 676 679 704 728 776 832 847 896 968 1001 1067 1144 1183 1232 1261 1331 1352 1358 1408 1456 1552 1573 1664 1694 1792 1859 1936 2002 2134 2197 2288 2366 2464 2522 2662 2704 2716 2816 2912 3104 3146 3328 3388 3584 3718 3872 4004 4268 4394 4576 4732 4928 5044 5324 5408 5432 5632 5824 6208 6292 6656 6776 7436 7469 7744 8008 8536 8788 8827 9152 9317 9464 9856 10088 10648 10816 10864 11011 11648 11737 12416 12584 13013 13552 13871 14872 14938 15379 15488 16016 16393 17072 17303 17576 17654 18304 18634 18928 19712 20176 20449 21296 21632 21728 22022 23296 23474 24167 24832 25168 26026 27104 27742 28561 29744 29876 30758 30976 32032 32786 34144 34606 35152 35308 36608 37268 37856 39424 40352 40898 42592 43264 43456 44044 46592 46948 48334 49664 50336 52052 54208 55484 57122 59488 59752 61516 61952 64064 65572 68288 69212 70304 70616 73216 74536 75712 80704 81796 82159 85184 86528 86912 88088 93896 96668 97097 100672 104104 108416 110968 114244 114751 118976 119504 121121 123032 128128 129107 131144 136576 138424 140608 141232 143143 149072 151424 152581 161408 163592 164318 169169 170368 173824 176176 180323 187792 193336 194194 199927 201344 208208 213109 216832 221936 224939 228488 229502 237952 239008 242242 246064 256256 258214 262288 265837 273152 276848 281216 282464 286286 298144 302848 305162 314171 322816 327184 328636 338338 340736 347648 352352 360646 375584 386672 388388 399854 402688 416416 426218 433664 443872 449878 456976 459004 475904 478016 484484 492128 512512 516428 524576 531674 546304 553696 562432 564928 572572 596288 605696 610324 628342 645632 654368 657272 676676 681472 704704 721292 751168 773344 776776 799708 805376 832832 852436 887744 899756 903749 913952 918008 951808 956032 968968 984256 1032856 1049152 1063348 1068067 1107392 1124864 1129856 1145144 1192576 1220648 1256684 1262261 1308736 1314544 1353352 1409408 1442584 1491763 1502336 1546688 1553552 1574573 1599416 1665664 1678391 1704872 1775488 1799512 1807498 1827904 1836016 1860859 1912064 1937936 1968512 1983553 2065712 2098304 2126696 2136134 2199197 2214784 2259712 2290288 2344199 2385152 2441296 2513368 2524522 2617472 2629088 2706704 2770417 2818816 2885168 2924207 2983526 3004672 3093376 3107104 3149146 3198832 3331328 3356782 3409744 3455881 3550976 3599024 3614996 3655808 3672032 3721718 3824128 3875872 3937024 3967106 4131424 4196608 4253392 4272268 4398394 4429568 4519424 4580576 4688398 4770304 4882592 5026736 5049044 5234944 5258176 5413408 5540834 5637632 5770336 5848414 5967052 6009344 6186752 6214208 6298292 6397664 6662656 6713564 6819488 6911762 7101952 7198048 7229992 7311616 7344064 7443436 7751744 7874048 7934212 8262848 8393216 8506784 8544536 8796788 8859136 9161152 9376796 9765184 10053472 10098088 10469888 10516352 10826816 11081668 11540672 11696828 11748737 11934104 12373504 12428416 12596584 12795328 13427128 13638976 13823524 13884871 14396096 14459984 14623232 14688128 14886872 15503488 15868424 16409393 16525696 17013568 17089072 17593576 18322304 18753592 19392919 19530368 20106944 20196176 20469449 21032704 21653632 21819083 22163336 23081344 23393656 23497474 23868208 24191167 24856832 25193168 25590656 25786189 26854256 27277952 27647048 27769742 28792192 28919968 29376256 29773744 30474587 31006976 31736848 32818786 33051392 34027136 34178144 35187152 36644608 37507184 38014691 38785838 39060736 40213888 40392352 40938898 42065408 43307264 43638166 44326672 46162688 46787312 46994948 47736416 48382334 49713664 50386336 51181312 51572378 53708512 54555904 55294096 55539484 57584384 57839936 58752512 59547488 60949174 62013952 63473696 65637572 66102784 68054272 68356288 70374304 73289216 75014368 76029382 77571676 78121472 80427776 80784704 81877796 86614528 87276332 88653344 92325376 93574624 93989896 95472832 96764668 100772672 102362624 103144756 107417024 109111808 110588192 111078968 115168768 115679872 119094976 121898348 126947392 131275144 136108544 136712576 140748608 150028736 152058764 152733581 155143352 160855552 161569408 163755592 174552664 177306688 180503323 187149248 187979792 190945664 193529336 201545344 206289512 213322109 214834048 221176384 222157936 231359744 238189952 243796696 253894784 262550288 266102837 273425152 281497216 283648079 300057472 304117528 305467162 310286704 323138816 327511184 335220457 349105328 354613376 361006646 374298496 375959584 381891328 387058672 403090688 412579024 426644218 429668096 442352768 444315872 462719488 476379904 487593392 507789568 525100576 532205674 546850304 562994432 567296158 600114944 608235056 610934324 620573408 646277632 655022368 670440914 698210656 709226752 722013292 748596992 751919168 763782656 774117344 806181376 825158048 853288436 859336192 884705536 888631744 952759808 975186784 1015579136 1050201152 1064411348 1125988864 1134592316 1200229888 1216470112 1221868648 1241146816 1310044736 1340881828 1396421312 1418453504 1444026584 1497193984 1503838336 1548234688 1650316096 1706576872 1769411072 1777263488 1950373568 1985536553 2100402304 2128822696 2269184632 2346543199 2432940224 2443737296 2482293632 2620089472 2681763656 2792842624 2888053168 3007676672 3096469376 3300632192 3413153744 3554526976 3687425027 3900747136 3971073106 4200804608 4257645392 4538369264 4693086398 4865880448 4887474592 4964587264 5240178944 5363527312 5585685248 5776106336 6015353344 6192938752 6601264384 6826307488 7109053952 7374850054 7801494272 7942146212 8401609216 8515290784 9076738528 9386172796 9731760896 9774949184 9929174528 10480357888 10727054624 11171370496 11552212672 12385877504 13202528768 13652614976 14749700108 15602988544 15884292424 17030581568 18153477056 18772345592 19463521792 19549898368 21454109248 23104425344 25811975189 27305229952 29499400216 31768584848 34061163136 36306954112 37544691184 39099796736 42908218496 46208850688 51623950378 54610459904 58998800432 63537169696 68122326272 72613908224 75089382368 78199593472 85816436992 92417701376 103247900756 109220919808 117997600864 127074339392 136244652544 145227816448 150178764736 171632873984 206495801512 235995201728 254148678784 300357529472 412991603024 471990403456 508297357568 600715058944 825983206048 943980806912 1016594715136 1201430117888 1651966412096 1887961613824 3303932824192 6607865648384 13215731296768
• Sum of all divisors σ(n): 36330143971968
• Sum of proper divisors (its aliquot sum) s(n): 23114412675200
• 13215731296768 is an abundant number, because the sum of its proper divisors (23114412675200) is greater than itself. Its abundance is 9898681378432

Bases of 13215731296768

• Binary: 11000000010100000110111110000010101000000000₂
• Hexadecimal: 0xC0506F82A00
• Base-36: 4ON816ZGG

Squares and roots of 13215731296768

• 13215731296768 squared (13215731296768²) is 174655553708373202887245824
• 13215731296768 cubed (13215731296768³) is 2308200867298092059892762815299512696832
• The square root of 13215731296768 is 3635344.7287386651
• The cube root of 13215731296768 is 23642.6997340271

Scales and comparisons

• 13,215,731,296,768 seconds is equal to 420,219 years, 19 weeks, 3 days, 23 hours, 19 minutes, 28 seconds.
• To count from 1 to 13,215,731,296,768 would take you about one million, fifty thousand, five hundred forty-eight 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 13215731296768 cubic inches would be around 1970.2 feet tall.

Recreational maths with 13215731296768

• 13215731296768 backwards is 86769213751231
• The number of decimal digits it has is: 14
• The sum of 13215731296768's digits is 61
• More coming soon!