34400340456768

Names of 34400340456768

• Cardinal: 34400340456768 can be written as Thirty-four trillion, four hundred billion, three hundred forty million, four hundred fifty-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4400340456768 × 10¹³

Factors of 34400340456768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 61808

Divisors of 34400340456768

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 61 64 66 72 74 78 88 96 99 104 108 111 117 122 132 143 144 148 156 176 183 192 198 208 216 222 234 244 264 286 288 296 297 312 333 351 352 366 396 407 416 429 432 444 468 481 488 528 549 572 576 592 594 624 666 671 702 704 732 792 793 814 832 858 864 888 936 962 976 999 1056 1098 1144 1184 1188 1221 1248 1287 1332 1342 1404 1443 1464 1584 1586 1628 1647 1716 1728 1776 1872 1924 1952 1998 2013 2112 2196 2257 2288 2368 2376 2379 2442 2496 2574 2664 2684 2808 2886 2928 3168 3172 3256 3294 3432 3552 3663 3744 3848 3861 3904 3996 4026 4329 4392 4514 4576 4752 4758 4884 5148 5291 5328 5368 5616 5772 5856 6039 6336 6344 6512 6588 6771 6864 7104 7137 7326 7488 7696 7722 7992 8052 8658 8723 8784 9028 9152 9504 9516 9768 10296 10582 10656 10736 10989 11232 11544 11712 12078 12688 12987 13024 13176 13542 13728 14274 14652 15392 15444 15873 15984 16104 17316 17446 17568 18056 18117 19008 19032 19536 20313 20592 21164 21312 21411 21472 21978 22464 23088 24156 24827 25376 25974 26048 26169 26352 27084 27456 28548 29304 29341 30784 30888 31746 31968 32208 34632 34892 35136 36112 36234 38064 39072 40626 41184 42328 42822 42944 43956 46176 47619 48312 49654 50752 51948 52338 52704 54168 57096 58608 58682 60939 61681 61776 63492 63936 64416 69264 69784 72224 72468 74481 76128 78144 78507 81252 82368 84656 85644 87912 88023 92352 95238 96624 99308 103896 104676 105408 108336 114192 117216 117364 121878 123362 123552 126984 128832 138528 139568 142857 144448 144936 148962 152256 157014 162504 169312 171288 175824 176046 185043 190476 193248 198616 207792 209352 216672 223443 228384 234432 234728 235521 243756 246724 247104 253968 264069 277056 279136 285714 289872 297924 314028 322751 325008 338624 342576 351648 352092 370086 380952 386496 397232 415584 418704 433344 446886 456768 469456 471042 487512 493448 507936 528138 555129 558272 571428 579744 595848 628056 645502 650016 670329 678491 685152 703296 704184 740172 761904 792207 794464 801853 831168 837408 893772 938912 942084 968253 975024 986896 1015872 1056276 1110258 1142856 1159488 1191696 1256112 1291004 1300032 1340658 1356982 1370304 1408368 1480344 1523808 1584414 1588928 1603706 1665387 1674816 1787544 1877824 1884168 1936506 1950048 1973792 2035473 2112552 2220516 2282197 2285712 2383392 2405559 2512224 2582008 2681316 2713964 2816736 2904759 2960688 3047616 3168828 3207412 3330774 3575088 3762541 3768336 3873012 3900096 3947584 4070946 4225104 4441032 4564394 4571424 4766784 4811118 5024448 5164016 5362632 5427928 5633472 5809518 5921376 6106419 6337656 6414824 6661548 6846591 7150176 7216677 7525082 7536672 7746024 8141892 8450208 8714277 8820383 8882064 9128788 9142848 9622236 10328032 10725264 10855856 11287623 11619036 11842752 12212838 12675312 12829648 13323096 13693182 14300352 14433354 15050164 15073344 15492048 16283784 16900416 17428554 17640766 17764128 18257576 18319257 19244472 20539773 20656064 21450528 21650031 21711712 22575246 23238072 24425676 25104167 25350624 25659296 26461149 26646192 27386364 28866708 29668561 30100328 30984096 32567568 33862869 34857108 35281532 35528256 36515152 36638514 38488944 41079546 41387951 42901056 43300062 43423424 45150492 46476144 48851352 48913033 50208334 50701248 51318592 52922298 53292384 54772728 57733416 59337122 60200656 61619319 61968192 65135136 67725738 69714216 70563064 73030304 73277028 75312501 76977888 79383447 82159092 82775902 86600124 89005683 90300984 92952288 97702704 97826066 100416668 101588607 105844596 106584768 109545456 115466832 118674244 120401312 123238638 124163853 130270272 135451476 139214017 139428432 141126128 146060608 146554056 146739099 150625002 153955776 158766894 164318184 165551804 173200248 178011366 180601968 185904576 195405408 195652132 200833336 203177214 211689192 219090912 225937503 230933664 237348488 238150341 240802624 246477276 248327706 267017049 270902952 278428034 278856864 282252256 293108112 293478198 301250004 317533788 326354171 328636368 331103608 346400496 356022732 361203936 372491559 390810816 391304264 401666672 406354428 417642051 423378384 438181824 440217297 451875006 461867328 474696976 476300682 492954552 496655412 534034098 538043363 541805904 556856068 557713728 564504512 586216224 586956396 602500008 635067576 652708342 657272736 662207216 677812509 692800992 712045464 722407872 744983118 782608528 801051147 803333344 812708856 835284102 846756768 880434594 903750012 949393952 952601364 979062513 985909104 993310824 1068068196 1076086726 1083611808 1113712136 1117474677 1172432448 1173912792 1205000016 1252926153 1270135152 1305416684 1314545472 1320651891 1324414432 1355625018 1385601984 1424090928 1489966236 1531354187 1565217056 1602102294 1606666688 1614130089 1625417712 1670568204 1693513536 1760869188 1807500024 1809782221 1898787904 1905202728 1958125026 1971818208 1986621648 2136136392 2152173452 2167223616 2227424272 2234949354 2347825584 2410000032 2505852306 2540270304 2610833368 2641303782 2648828864 2711250036 2848181856 2937187539 2979932472 3062708374 3130434112 3204204588 3228260178 3250835424 3341136408 3521738376 3615000048 3619564442 3758778459 3810405456 3916250052 3943636416 3973243296 4272272784 4304346904 4454848544 4469898708 4594062561 4695651168 4820000064 4842390267 5011704612 5080540608 5221666736 5282607564 5422500072 5429346663 5696363712 5874375078 5959864944 6125416748 6408409176 6456520356 6501670848 6682272816 7043476752 7230000096 7239128884 7517556918 7620810912 7832500104 7946486592 8544545568 8608693808 8811562617 8909697088 8939797416 9188125122 9391302336 9684780534 10023409224 10443333472 10565215128 10845000144 10858693326 11748750156 11919729888 12250833496 12816818352 12913040712 13364545632 13782187683 14086953504 14460000192 14478257768 14527170801 15035113836 15241621824 15665000208 16288039989 17089091136 17217387616 17623125234 17879594832 18376250244 19369561068 19907604431 20046818448 20886666944 21130430256 21690000288 21717386652 23497500312 23839459776 24501666992 25633636704 25826081424 26729091264 27564375366 28173907008 28956515536 29054341602 30070227672 31330000416 32576079978 34434775232 35246250468 35759189664 36752500488 38739122136 39815208862 40093636896 41346563049 42260860512 43380000576 43434773304 46995000624 48864119967 49003333984 51267273408 51652162848 55128750732 57913031072 58108683204 59722813293 60140455344 62660000832 65152159956 70492500936 71518379328 73505000976 77478244272 79630417724 80187273792 82693126098 84521721024 86869546608 93990001248 97728239934 98006667968 103304325696 110257501464 115826062144 116217366408 119445626586 120280910688 130304319912 140985001872 147010001952 154956488544 159260835448 165386252196 173739093216 179168439879 187980002496 195456479868 220515002928 232434732816 238891253172 240561821376 260608639824 281970003744 294020003904 309912977088 318521670896 330772504392 347478186432 358336879758 390912959736 441030005856 464869465632 477782506344 521217279648 537505319637 563940007488 637043341792 661545008784 716673759516 781825919472 882060011712 929738931264 955565012688 1042434559296 1075010639274 1274086683584 1323090017568 1433347519032 1563651838944 1911130025376 2150021278548 2646180035136 2866695038064 3127303677888 3822260050752 4300042557096 5733390076128 8600085114192 11466780152256 17200170228384 34400340456768
• Sum of all divisors σ(n): 124024283604480
• Sum of proper divisors (its aliquot sum) s(n): 89623943147712
• 34400340456768 is an abundant number, because the sum of its proper divisors (89623943147712) is greater than itself. Its abundance is 55223602690944

Bases of 34400340456768

• Binary: 111110100100101110100000100101011010101000000₂
• Hexadecimal: 0x1F497412B540
• Base-36: C6ZAQIMO0

Squares and roots of 34400340456768

• 34400340456768 squared (34400340456768²) is 1183383423541549210877005824
• 34400340456768 cubed (34400340456768³) is 40708792660724976585127048481448356216832
• The square root of 34400340456768 is 5865180.3430728369
• The cube root of 34400340456768 is 32522.7739254965

Scales and comparisons

• 34,400,340,456,768 seconds is equal to 1,093,824 years, 21 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,400,340,456,768 would take you about two million, seven hundred thirty-four thousand, five hundred sixty-one 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 34400340456768 cubic inches would be around 2710.2 feet tall.

Recreational maths with 34400340456768

• 34400340456768 backwards is 86765404300443
• 34400340456768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34400340456768's digits is 54
• More coming soon!