13135445813376

Names of 13135445813376

• Cardinal: 13135445813376 can be written as Thirteen trillion, one hundred thirty-five billion, four hundred forty-five million, eight hundred thirteen thousand, three hundred seventy-six.

Scientific notation

• Scientific notation: 1.3135445813376 × 10¹³

Factors of 13135445813376

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 102

Divisors of 13135445813376

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 43 46 48 54 62 64 69 72 81 86 92 93 96 108 124 128 129 138 144 162 172 184 186 192 207 216 248 258 276 279 288 324 344 368 372 384 387 414 432 496 516 552 558 576 621 648 688 713 736 744 774 828 837 864 961 989 992 1032 1104 1116 1152 1161 1242 1296 1333 1376 1426 1472 1488 1548 1656 1674 1728 1849 1863 1922 1978 1984 2064 2139 2208 2232 2322 2484 2511 2592 2666 2752 2852 2883 2944 2967 2976 3096 3312 3348 3456 3483 3698 3726 3844 3956 3968 3999 4128 4278 4416 4464 4644 4968 5022 5184 5332 5504 5547 5704 5766 5934 5952 6192 6417 6624 6696 6966 7396 7452 7688 7912 7998 8256 8556 8649 8832 8901 8928 9288 9936 10044 10368 10664 11094 11408 11532 11868 11904 11997 12384 12834 13248 13392 13932 14792 14904 15376 15824 15996 16512 16641 17112 17298 17802 17856 18576 19251 19872 20088 21328 22103 22188 22816 23064 23736 23994 24768 25668 25947 26496 26703 26784 27864 29584 29791 29808 30659 30752 31648 31992 33282 34224 34596 35604 35712 35991 37152 38502 39744 40176 41323 42527 42656 44206 44376 45632 46128 47472 47988 49536 49923 51336 51894 53406 53568 55728 57319 57753 59168 59582 59616 61318 61504 63296 63984 66309 66564 68448 69192 71208 71982 74304 77004 77841 79488 80109 80352 82646 85054 85312 88412 88752 89373 91264 91977 92256 94944 95976 99846 102672 103788 106812 107136 107973 111456 114638 115506 118336 119164 119232 122636 123008 123969 126592 127581 127968 132618 133128 136896 138384 142416 143964 148608 149769 154008 155682 160218 160704 165292 170108 170624 171957 176824 177504 178746 183954 184512 189888 191952 198927 199692 205344 207576 213624 215946 222912 229276 231012 236672 238328 238464 245272 247938 255162 255936 265236 266256 268119 273792 275931 276768 284832 287928 299538 308016 311364 320436 321408 330584 340216 343914 353648 355008 357492 367908 369024 371907 379776 382743 383904 397854 399384 410688 415152 427248 431892 445824 458552 462024 476656 490544 495876 510324 511872 515871 530472 532512 536238 551862 553536 569664 575856 596781 599076 616032 622728 640872 661168 680432 685193 687828 707296 710016 714984 735816 743814 765486 767808 795708 798768 804357 821376 827793 830304 854496 863784 917104 924048 950429 953312 981088 991752 1020648 1031742 1060944 1065024 1072476 1103724 1107072 1115721 1139328 1148229 1151712 1193562 1198152 1232064 1245456 1281013 1281744 1318337 1322336 1360864 1370386 1375656 1414592 1429968 1471632 1487628 1530972 1535616 1547613 1591416 1597536 1608714 1655586 1660608 1708992 1727568 1776889 1790343 1834208 1848096 1900858 1906624 1962176 1983504 2041296 2055579 2063484 2121888 2130048 2144952 2207448 2231442 2296458 2303424 2387124 2396304 2413071 2464128 2483379 2490912 2562026 2563488 2636674 2644672 2721728 2740772 2751312 2829184 2851287 2859936 2943264 2975256 3061944 3095226 3182832 3195072 3217428 3311172 3321216 3347163 3417984 3444687 3455136 3553778 3580686 3668416 3696192 3801716 3813248 3843039 3924352 3955011 3967008 4082592 4111158 4126968 4243776 4289904 4414896 4462884 4592916 4606848 4642839 4774248 4792608 4826142 4966758 4981824 5124052 5126976 5273348 5289344 5330667 5443456 5481544 5502624 5702574 5719872 5886528 5950512 6123888 6166737 6190452 6365664 6390144 6434856 6622344 6694326 6889374 6910272 7107556 7161372 7336832 7392384 7603432 7686078 7910022 7934016 8165184 8222316 8253936 8487552 8553861 8579808 8829792 8925768 9185832 9285678 9548496 9585216 9652284 9933516 9963648 10248104 10253952 10546696 10661334 10963088 11005248 11405148 11439744 11529117 11773056 11865033 11901024 12247776 12333474 12380904 12731328 12869712 13244688 13388652 13778748 13820544 14215112 14322744 15206864 15372156 15820044 15868032 15992001 16330368 16444632 16507872 17107722 17159616 17659584 17851536 18371664 18500211 18571356 19096992 19170432 19304568 19867032 20496208 21093392 21322668 21926176 22010496 22810296 23058234 23730066 23802048 24495552 24666948 24761808 25462656 25661583 25739424 26489376 26777304 27557496 28430224 28645488 29463299 30413728 30744312 31640088 31984002 32889264 33015744 34215444 34319232 34587351 35319168 35595099 35703072 36743328 37000422 37142712 38193984 38609136 39734064 40868447 40992416 42186784 42645336 43852352 45620592 46116468 47460132 47604096 47976003 48991104 49333896 49523616 51323166 51478848 52978752 53554608 55083559 55114992 55500633 56860448 57290976 58926598 60827456 61488624 63280176 63968004 65778528 66031488 68430888 69174702 71190198 71406144 73486656 74000844 74285424 76387968 76984749 77218272 79468128 81736894 81984832 84373568 85290672 87704704 88389897 91241184 92232936 94920264 95952006 98667792 99047232 102646332 102957696 103762053 105957504 106785297 107109216 110167118 110229984 111001266 113720896 114581952 117853196 121654912 122605341 122977248 126560352 127936008 131557056 136861776 138349404 142380396 142812288 143928009 146973312 148001688 148570848 153969498 154436544 158936256 163473788 163969664 165250677 168747136 170581344 176779794 182482368 184465872 189840528 191904012 197335584 198094464 205292664 207524106 213570594 214218432 220334236 220459968 222002532 227441792 229163904 235706392 245210682 245954496 253120704 255872016 263114112 265169691 273723552 276698808 284760792 287856018 296003376 297141696 307938996 308873088 317872512 326947576 330501354 341162688 353559588 364964736 367816023 368931744 379681056 383808024 394671168 410585328 415048212 427141188 428436864 440668472 440919936 444005064 471412784 490421364 491908992 495752031 506241408 511744032 530339382 547447104 553397616 569521584 575712036 592006752 594283392 615877992 653895152 661002708 682325376 707119176 735632046 737863488 759362112 767616048 789342336 795509073 821170656 830096424 854282376 881336944 888010128 942825568 980842728 991504062 1023488064 1060678764 1094894208 1103448069 1106795232 1139043168 1151424072 1184013504 1231755984 1266921857 1307790304 1322005416 1414238352 1471264092 1475726976 1487256093 1518724224 1535232096 1591018146 1642341312 1660192848 1708564752 1762673888 1776020256 1885651136 1961685456 1983008124 2046976128 2121357528 2206896138 2213590464 2278086336 2302848144 2368027008 2386527219 2463511968 2533843714 2615580608 2644010832 2828476704 2942528184 2974512186 3070464192 3182036292 3284682624 3310344207 3320385696 3417129504 3525347776 3552040512 3771302272 3800765571 3923370912 3966016248 4242715056 4413792276 4427180928 4461768279 4556172672 4605696288 4773054438 4927023936 5067687428 5231161216 5288021664 5656953408 5885056368 5949024372 6140928384 6364072584 6620688414 6640771392 6834259008 7050695552 7104081024 7601531142 7846741824 7932032496 8485430112 8827584552 8923536558 9211392576 9546108876 9854047872 10135374856 10576043328 11313906816 11402296713 11770112736 11898048744 12728145168 13241376828 13281542784 13668518016 15203062284 15693483648 15864064992 16970860224 17655169104 17847073116 18422785152 19092217752 20270749712 21152086656 22804593426 23540225472 23796097488 25456290336 26482753656 30406124568 31728129984 33941720448 34206890139 35310338208 35694146232 38184435504 40541499424 45609186852 47080450944 47592194976 50912580672 52965507312 60812249136 63456259968 68413780278 70620676416 71388292464 76368871008 81082998848 91218373704 95184389952 101825161344 102620670417 105931014624 121624498272 136827560556 141241352832 142776584928 152737742016 162165997696 182436747408 190368779904 205241340834 211862029248 243248996544 273655121112 285553169856 305475484032 364873494816 410482681668 423724058496 486497993088 547310242224 571106339712 729746989632 820965363336 1094620484448 1459493979264 1641930726672 2189240968896 3283861453344 4378481937792 6567722906688 13135445813376
• Sum of all divisors σ(n): 43153145418240
• Sum of proper divisors (its aliquot sum) s(n): 30017699604864
• 13135445813376 is an abundant number, because the sum of its proper divisors (30017699604864) is greater than itself. Its abundance is 16882253791488

Bases of 13135445813376

• Binary: 10111111001001010101100101001110100010000000₂
• Hexadecimal: 0xBF25594E880
• Base-36: 4NMC9AG00

Squares and roots of 13135445813376

• 13135445813376 squared (13135445813376²) is 172539936716137086220517376
• 13135445813376 cubed (13135445813376³) is 2266388989378142874934582505691861221376
• The square root of 13135445813376 is 3624285.5590275995
• The cube root of 13135445813376 is 23594.7260391199

Scales and comparisons

• 13,135,445,813,376 seconds is equal to 417,666 years, 28 weeks, 2 days, 20 hours, 9 minutes, 36 seconds.
• To count from 1 to 13,135,445,813,376 would take you about one million, forty-four thousand, one hundred sixty-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 13135445813376 cubic inches would be around 1966.2 feet tall.

Recreational maths with 13135445813376

• 13135445813376 backwards is 67331854453131
• 13135445813376 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13135445813376's digits is 54
• More coming soon!