349323007968

Names of 349323007968

• Cardinal: 349323007968 can be written as Three hundred forty-nine billion, three hundred twenty-three million, seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.49323007968 × 10¹¹

Factors of 349323007968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 127

Divisors of 349323007968

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 44 48 54 57 61 62 66 72 76 81 88 93 96 99 108 114 121 122 124 132 144 152 162 171 176 183 186 198 209 216 228 242 244 248 264 279 288 297 304 324 341 342 352 363 366 372 396 418 432 456 484 488 496 513 528 549 558 589 594 608 627 648 671 682 684 726 732 744 792 836 837 864 891 912 961 968 976 992 1023 1026 1056 1089 1098 1116 1159 1178 1188 1254 1296 1342 1364 1368 1452 1464 1488 1539 1584 1647 1672 1674 1767 1782 1824 1881 1891 1922 1936 1952 2013 2046 2052 2178 2196 2232 2299 2318 2356 2376 2508 2511 2592 2684 2728 2736 2883 2904 2928 2976 3069 3078 3168 3267 3294 3344 3348 3477 3534 3564 3751 3762 3782 3844 3872 4026 4092 4104 4356 4392 4464 4598 4636 4712 4752 4941 5016 5022 5301 5368 5456 5472 5643 5673 5766 5808 5856 6039 6138 6156 6479 6534 6588 6688 6696 6897 6954 7068 7128 7381 7502 7524 7564 7688 8052 8184 8208 8649 8712 8784 8928 9196 9207 9272 9424 9504 9801 9882 10032 10044 10431 10571 10602 10736 10912 11253 11286 11346 11532 11616 12078 12276 12312 12749 12958 13068 13176 13392 13794 13908 14136 14256 14762 15004 15048 15128 15376 15903 16104 16368 16416 16929 17019 17298 17424 17568 18117 18259 18392 18414 18544 18848 19437 19602 19764 20064 20088 20691 20801 20862 21142 21204 21472 22143 22506 22572 22692 23064 24156 24552 24624 25498 25916 25947 26136 26352 26784 27588 27621 27816 28272 28512 29524 30008 30096 30256 30752 31293 31713 31806 32208 32736 33759 33858 34038 34596 34848 35929 36234 36518 36784 36828 37088 38247 38874 39204 39528 40176 41382 41602 41724 42284 42408 44286 45012 45144 45384 46128 47709 48312 49104 49248 50996 51057 51832 51894 52272 52704 54351 54777 55176 55242 55632 56544 58311 58621 59048 60016 60192 60512 62073 62403 62586 63426 63612 64416 66429 67518 67716 68076 69192 71269 71858 72468 73036 73568 73656 76494 77748 77841 78408 79056 80352 82764 83204 83448 84568 84816 88572 90024 90288 90768 92256 93879 95139 95418 96624 98208 101277 101992 102114 103664 103788 104544 107787 108702 109554 110352 110484 111264 114741 116281 116622 117242 118096 120032 124146 124806 125172 126852 127224 132858 135036 135432 136152 138384 140239 142538 143716 144936 146072 147312 152988 153171 155496 155682 156816 158112 164331 165528 166408 166896 169136 169632 174933 175863 177144 180048 180576 181536 186219 187209 187758 190278 190836 193248 199287 200849 202554 203984 204228 207328 207576 213807 215574 217404 219108 220704 220968 228811 229482 232562 233244 234484 236192 248292 249612 250344 253704 254448 265716 270072 270864 272304 276768 280478 285076 285417 287432 289872 292144 294624 303831 305976 306342 310992 311364 313632 323361 328662 331056 332816 333792 338272 344223 348843 349866 351726 354288 360096 372438 374418 375516 380556 381672 395219 398574 401698 405108 407968 408456 415152 420717 427614 431148 434808 438216 441936 457622 458964 465124 466488 468968 492993 496584 499224 500688 507408 508896 524799 527589 531432 540144 541728 544608 560956 561627 570152 570834 574864 579744 584288 597861 602547 607662 611952 612684 621984 622728 641421 644831 646722 657324 662112 665632 686433 688446 697686 699732 703452 708576 744876 748836 751032 761112 763344 790438 797148 803396 810216 816912 830304 841434 855228 856251 862296 869616 876432 883872 915244 917928 930248 932976 937936 970083 985986 993168 998448 1001376 1014816 1032669 1046529 1049598 1055178 1062864 1080288 1113799 1121912 1123254 1140304 1141668 1149728 1185657 1195722 1205094 1215324 1223904 1225368 1245456 1262151 1282842 1289662 1293444 1314648 1372866 1376892 1395372 1399464 1406904 1478979 1489752 1497672 1502064 1522224 1526688 1580876 1582767 1594296 1606792 1620432 1633824 1682868 1684881 1710456 1712502 1724592 1739232 1752864 1807641 1830488 1835856 1860496 1865952 1875872 1924263 1934493 1940166 1971972 1986336 1996896 2059299 2065338 2093058 2099196 2110356 2125728 2209339 2227598 2243824 2246508 2280608 2283336 2371314 2391444 2410188 2430648 2450736 2490912 2524302 2565684 2579324 2586888 2629296 2745732 2753784 2790744 2798928 2813808 2910249 2957958 2979504 2995344 3004128 3044448 3139587 3161752 3165534 3188592 3213584 3240864 3341397 3365736 3369762 3420912 3425004 3449184 3556971 3615282 3660976 3671712 3720992 3786453 3848526 3868986 3880332 3943944 4118598 4130676 4186116 4198392 4220712 4347409 4418678 4455196 4487648 4493016 4566672 4742628 4748301 4782888 4820376 4861296 4901472 5048604 5131368 5158648 5173776 5258592 5422923 5491464 5507568 5581488 5597856 5627616 5772789 5803479 5820498 5915916 5959008 5990688 6177897 6279174 6323504 6331068 6377184 6427168 6628017 6682794 6731472 6739524 6841824 6850008 7093141 7113942 7230564 7321952 7572906 7697052 7737972 7760664 7887888 8237196 8261352 8372232 8396784 8441424 8694818 8837356 8910392 8986032 9133344 9418761 9485256 9496602 9565776 9640752 9722592 10024191 10097208 10262736 10317296 10347552 10670913 10845846 10982928 11015136 11162976 11359359 11545578 11606958 11640996 11831832 12251789 12355794 12558348 12647008 12662136 13042227 13256034 13365588 13462944 13479048 13700016 14186282 14227884 14461128 15145812 15394104 15475944 15521328 15775776 16268769 16474392 16522704 16744464 16793568 16882848 17389636 17410437 17674712 17820784 17972064 18533691 18837522 18970512 18993204 19131552 19281504 19884051 20048382 20194416 20525472 20634592 21279423 21341826 21691692 21965856 22718718 23091156 23213916 23281992 23663664 24503578 24711588 25116696 25324272 26084454 26512068 26731176 26958096 27400032 28372564 28455768 28922256 30072573 30291624 30788208 30951888 31042656 32012739 32537538 32948784 33045408 33488928 34779272 34820874 35349424 35641568 36755367 37067382 37675044 37941024 37986408 39126681 39768102 40096764 40388832 42558846 42683652 43383384 45437436 46182312 46427832 46563984 47327328 49007156 49423176 50233392 50648544 52168908 52231311 53024136 53462352 53916192 56745128 56911536 57844512 59652153 60145146 60583248 61576416 61903776 63838269 64025478 65075076 65897568 69558544 69641748 70698848 73510734 74134764 75350088 75972816 78253362 79536204 80193528 85117692 85367304 86766768 90217719 90874872 92364624 92855664 93127968 98014312 98846352 100466784 104337816 104462622 106048272 106924704 110266101 113490256 113823072 117380043 119304306 120290292 121166496 127676538 128050956 130150152 134769679 139117088 139283496 147021468 148269528 150700176 151945632 156506724 159072408 160387056 170235384 170734608 173533536 178956459 180435438 181749744 184729248 185711328 191514807 196028624 197692704 208675632 208925244 212096544 220532202 226980512 234760086 238608612 240580584 255353076 256101912 260300304 269539358 278566992 294042936 296539056 301400352 313013448 318144816 320774112 330798303 340470768 341469216 352140129 357912918 360870876 363499488 383029614 392057248 404309037 417351264 417850488 441064404 469520172 477217224 481161168 510706152 512203824 520600608 539078716 557133984 574544421 588085872 593078112 626026896 636289632 661596606 680941536 704280258 715825836 721741752 766059228 808618074 835700976 882128808 939040344 954434448 962322336 992394909 1021412304 1024407648 1078157432 1149088842 1176171744 1212927111 1252053792 1323193212 1408560516 1431651672 1443483504 1532118456 1617236148 1671401952 1764257616 1878080688 1908868896 1984789818 2042824608 2156314864 2298177684 2425854222 2646386424 2817121032 2863303344 2886967008 3064236912 3234472296 3528515232 3638781333 3756161376 3969579636 4312629728 4596355368 4851708444 5292772848 5634242064 5726606688 6128473824 6468944592 7277562666 7939159272 9192710736 9703416888 10585545696 10916343999 11268484128 12937889184 14555125332 15878318544 18385421472 19406833776 21832687998 29110250664 31756637088 38813667552 43665375996 58220501328 87330751992 116441002656 174661503984 349323007968
• Sum of all divisors σ(n): 1248384863880
• Sum of proper divisors (its aliquot sum) s(n): 899061855912
• 349323007968 is an abundant number, because the sum of its proper divisors (899061855912) is greater than itself. Its abundance is 549738847944

Bases of 349323007968

• Binary: 101000101010101010001100001011111100000₂
• Hexadecimal: 0x51554617E0
• Base-36: 4GH5WE00

Squares and roots of 349323007968

• 349323007968 squared (349323007968²) is 122026563895811391489024
• 349323007968 cubed (349323007968³) is 42626686352084183830945498136543232
• The square root of 349323007968 is 591035.5386675153
• The cube root of 349323007968 is 7042.7520230183

Scales and comparisons

• 349,323,007,968 seconds is equal to 11,107 years, 20 weeks, 2 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 349,323,007,968 would take you about twenty-two thousand, two hundred fourteen 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 349323007968 cubic inches would be around 586.9 feet tall.

Recreational maths with 349323007968

• 349323007968 backwards is 869700323943
• 349323007968 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 349323007968's digits is 54
• More coming soon!