34145311101408

Names of 34145311101408

• Cardinal: 34145311101408 can be written as Thirty-four trillion, one hundred forty-five billion, three hundred eleven million, one hundred one thousand, four hundred eight.

Scientific notation

• Scientific notation: 3.4145311101408 × 10¹³

Factors of 34145311101408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1417

Divisors of 34145311101408

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 41 48 52 54 72 74 78 82 96 104 108 111 117 123 144 148 156 164 208 216 222 234 246 288 296 312 328 333 351 369 416 432 444 468 481 492 533 592 624 656 666 702 738 864 888 936 962 984 999 1066 1107 1184 1248 1312 1321 1332 1369 1404 1443 1476 1517 1599 1681 1776 1872 1924 1968 1998 2132 2214 2642 2664 2738 2808 2886 2952 3034 3198 3362 3552 3744 3848 3936 3963 3996 4107 4264 4329 4428 4551 4797 5043 5284 5328 5476 5616 5772 5904 6068 6396 6724 7696 7926 7992 8214 8528 8658 8856 9102 9594 10086 10568 10656 10952 11232 11544 11808 11889 12136 12321 12792 12987 13448 13653 14391 15129 15392 15852 15984 16428 17056 17173 17316 17712 17797 18204 19188 19721 20172 21136 21853 21904 23088 23778 24272 24642 25584 25974 26896 27306 28782 30258 31704 31968 32856 34346 34632 35424 35594 35667 36408 36963 38376 39442 40344 40959 42272 43706 43808 45387 46176 47556 48544 48877 49284 51168 51519 51948 53391 53792 54161 54612 56129 57564 59163 60516 62197 63408 65559 65712 68692 69264 71188 71334 72816 73926 76752 78884 80688 81918 87412 90774 95112 97754 98568 103038 103896 106782 108322 109224 112258 115128 118326 121032 124394 126816 131118 131424 137384 138528 142376 142668 145632 146631 147852 153504 154557 157768 160173 161376 162483 163836 168387 174824 177489 181548 186591 190224 195508 196677 197136 206076 207792 213564 216644 218448 224516 230256 236652 242064 248788 262236 274768 284752 285336 293262 295704 309114 315536 320346 324966 327672 336774 349648 354978 363096 373182 380448 391016 393354 394272 412152 415584 427128 433288 436896 439893 449032 460512 463671 473304 480519 484128 487449 497576 505161 524472 532467 549536 559773 569504 570672 586524 590031 591408 618228 631072 635401 640692 649932 655344 673548 699296 704093 709956 726192 729677 746364 782032 786708 808561 824304 854256 866576 879786 898064 927342 946608 961038 974898 995152 1010322 1048944 1064934 1119546 1141344 1173048 1180062 1182816 1236456 1270802 1281384 1299864 1310688 1319679 1347096 1408186 1419912 1452384 1459354 1462347 1492728 1515483 1564064 1573416 1617122 1648608 1679319 1708512 1733152 1759572 1796128 1808449 1854684 1893216 1906203 1922076 1949796 1990304 2003957 2020644 2097888 2112279 2129868 2189031 2220601 2239092 2301289 2346096 2360124 2425683 2472912 2541604 2562768 2599728 2639358 2694192 2816372 2839824 2918708 2924694 2985456 3030966 3146832 3234244 3358638 3519144 3616898 3709368 3812406 3844152 3899592 4007914 4041288 4224558 4259736 4378062 4441202 4478184 4602578 4692192 4720248 4851366 4945824 5083208 5125536 5199456 5278716 5388384 5425347 5632744 5679648 5718609 5837416 5849388 5970912 6011871 6061932 6293664 6336837 6468488 6567093 6661803 6717276 6903867 7038288 7233796 7277049 7418736 7624812 7688304 7799184 8015828 8082576 8449116 8519472 8756124 8882404 8956368 9205156 9440496 9702732 10166416 10557432 10850694 11265488 11437218 11674832 11698776 12023742 12123864 12673674 12936976 13134186 13323606 13434552 13807734 14076576 14467592 14554098 14837472 15249624 15376608 15598368 16031656 16165152 16276041 16898232 17038944 17155827 17512248 17764808 17912736 18035613 18410312 18880992 19010511 19405464 19701279 19985409 20332832 20711601 21114864 21701388 21831147 22530976 22874436 23349664 23397552 23509837 24047484 24247728 25347348 25873952 26051441 26268372 26647212 26869104 27615468 28867813 28935184 29108196 29916757 30499248 32063312 32552082 33796464 34311654 35024496 35529616 36071226 36820624 38021022 38810928 39402558 39970818 41423202 42229728 43402776 43662294 45748872 46795104 47019674 48094968 48495456 48828123 50694696 52102882 52536744 53294424 53738208 54106839 55230936 57735626 57870368 58216392 59833514 59956227 60998496 62134803 64126624 65104164 67592928 68623308 70048992 70529511 71059232 72142452 73641248 74146409 76042044 77621856 78154323 78805116 79941636 82162237 82846404 86603439 86805552 87324588 89750271 91497744 94039348 96189936 97656246 101389392 104205764 105073488 106588848 108213678 110461872 115471252 116432784 119667028 119912454 124269606 130208328 137246616 141059022 144284904 148292818 152084088 156308646 157610232 159883272 164324474 165692808 173206878 173611104 174649176 179500542 182995488 188078696 192379872 195312492 202778784 208411528 210146976 211588533 213177696 216427356 220923744 222439227 230942504 232865568 234462969 239334056 239824908 246486711 248539212 259810317 260416656 269250813 274493232 282118044 288569808 296585636 304168176 312617292 315220464 319766544 328648948 331385616 346413756 349298352 359001084 376157392 390624984 416823056 423177066 432854712 444878454 461885008 468925938 478668112 479649816 492973422 497078424 519620634 520833312 538501626 548986464 564236088 577139616 593171272 608336352 625234584 630440928 634765599 639533088 657297896 662771232 667317681 692827512 698596704 703388907 718002168 739460133 752314784 779430951 781249968 807752439 833646112 846354132 865709424 889756908 923770016 937851876 957336224 959299632 963903317 985946844 994156848 1039241268 1068109081 1077003252 1128472176 1186342544 1250469168 1269531198 1314595792 1334635362 1385655024 1406777814 1436004336 1478920266 1558861902 1562499936 1615504878 1692708264 1731418848 1779513816 1875703752 1918599264 1927806634 1971893688 1988313696 2001953043 2078482536 2136218162 2154006504 2218380399 2256944352 2372685088 2500938336 2539062396 2629191584 2669270724 2771310048 2813555628 2872008672 2891709951 2957840532 3040002769 3117723804 3204327243 3231009756 3385416528 3559027632 3751407504 3855613268 3943787376 4003906086 4156965072 4272436324 4308013008 4436760798 5078124792 5338541448 5627111256 5783419902 5915681064 6080005538 6235447608 6408654486 6462019512 6770833056 7118055264 7502815008 7711226536 7887574752 8007812172 8313930144 8544872648 8616026016 8675129853 8873521596 9120008307 9612981729 10156249584 10677082896 11254222512 11566839804 11831362128 12160011076 12470895216 12817308972 12924039024 15422453072 16015624344 17089745296 17350259706 17747043192 18240016614 19225963458 20312499168 21354165792 22508445024 23133679608 23662724256 24320022152 24941790432 25634617944 25848078048 26025389559 27360024921 28838945187 30844906144 32031248688 34179490592 34700519412 35494086384 36480033228 38451926916 39520035997 46267359216 48640044304 51269235888 52050779118 54720049842 57677890374 64062497376 69401038824 70988172768 72960066456 76903853832 79040071994 82080074763 92534718432 97280088608 102538471776 104101558236 109440099684 115355780748 118560107991 138802077648 145920132912 153807707664 158080143988 164160149526 208203116472 218880199368 230711561496 237120215982 277604155296 291840265824 307615415328 316160287976 328320299052 355680323973 416406232944 437760398736 461423122992 474240431964 632320575952 656640598104 711360647946 832812465888 875520797472 922846245984 948480863928 1067040971919 1264641151904 1313281196208 1422721295892 1896961727856 2134081943838 2626562392416 2845442591784 3793923455712 4268163887676 5690885183568 8536327775352 11381770367136 17072655550704 34145311101408
• Sum of all divisors σ(n): 113067920921760
• Sum of proper divisors (its aliquot sum) s(n): 78922609820352
• 34145311101408 is an abundant number, because the sum of its proper divisors (78922609820352) is greater than itself. Its abundance is 44777298718944

Bases of 34145311101408

• Binary: 111110000111000010011001000111001000111100000₂
• Hexadecimal: 0x1F0E132391E0
• Base-36: C3Q50MGO0

Squares and roots of 34145311101408

• 34145311101408 squared (34145311101408²) is 1165902270211936406059582464
• 34145311101408 cubed (34145311101408³) is 39810095730224421914778774829116442509312
• The square root of 34145311101408 is 5843398.9339602683
• The cube root of 34145311101408 is 32442.2045329077

Scales and comparisons

• 34,145,311,101,408 seconds is equal to 1,085,715 years, 14 weeks, 1 day, 23 hours, 16 minutes, 48 seconds.
• To count from 1 to 34,145,311,101,408 would take you about two million, seven hundred fourteen thousand, two hundred eighty-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 34145311101408 cubic inches would be around 2703.5 feet tall.

Recreational maths with 34145311101408

• 34145311101408 backwards is 80410111354143
• 34145311101408 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34145311101408's digits is 36
• More coming soon!