345713362848

Names of 345713362848

• Cardinal: 345713362848 can be written as Three hundred forty-five billion, seven hundred thirteen million, three hundred sixty-two thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 3.45713362848 × 10¹¹

Factors of 345713362848

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 521

Divisors of 345713362848

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 69 72 81 84 92 96 98 103 108 112 126 138 144 147 161 162 168 184 189 196 206 207 216 224 243 252 276 288 294 309 322 324 336 368 378 383 392 412 414 432 441 483 486 504 552 567 588 618 621 644 648 672 721 736 756 766 784 824 828 864 882 927 966 972 1008 1104 1127 1134 1149 1176 1236 1242 1288 1296 1323 1442 1449 1512 1532 1568 1648 1656 1701 1764 1854 1863 1932 1944 2016 2163 2208 2254 2268 2298 2352 2369 2472 2484 2576 2592 2646 2681 2781 2884 2898 3024 3064 3296 3312 3381 3402 3447 3528 3708 3726 3864 3888 3969 4326 4347 4508 4536 4596 4704 4738 4944 4968 5047 5152 5292 5362 5562 5589 5768 5796 6048 6128 6489 6624 6762 6804 6894 7056 7107 7416 7452 7728 7776 7938 8043 8343 8652 8694 8809 9016 9072 9192 9476 9888 9936 10094 10143 10341 10584 10724 11124 11178 11536 11592 11907 12256 12978 13041 13524 13608 13788 14112 14214 14832 14904 15141 15456 15876 16086 16583 16686 17304 17388 17618 18032 18144 18384 18767 18952 19467 19872 20188 20286 20682 21168 21321 21448 22248 22356 23072 23184 23814 24129 25029 25956 26082 26427 27048 27216 27576 28428 29664 29808 30282 30429 31023 31752 32172 33166 33372 34608 34776 35236 36064 36768 37534 37904 38934 39123 39449 40376 40572 41364 42336 42642 42896 44496 44712 45423 46368 47628 48258 49749 50058 51912 52164 52854 54096 54432 55152 56301 56856 58401 59616 60564 60858 61663 62046 63504 63963 64344 66332 66744 69216 69552 70472 72387 75068 75808 77868 78246 78898 79281 80752 81144 82728 85284 85792 88992 89424 90846 91287 93069 95256 96516 99498 100116 103824 104328 105708 108192 110304 112602 113712 116081 116802 118347 121128 121716 123326 124092 127008 127926 128688 132664 133488 136269 139104 140944 144774 149247 150136 155736 156492 157796 158562 161504 162288 165456 168903 170568 175203 178848 181692 182574 184989 186138 190512 191889 193032 198996 200232 207648 208656 211416 217161 225204 227424 232162 233604 236694 237843 242256 243432 246652 248184 255852 257376 265328 266976 272538 273861 276143 281888 289548 298494 300272 311472 312984 315592 317124 324576 330912 337806 341136 348243 350406 355041 363384 365148 369978 372276 381024 383778 386064 397992 400464 408807 417312 422832 431641 434322 447741 450408 464324 467208 473388 475686 484512 486864 493304 496368 506709 511704 530656 545076 547722 552286 554967 575667 579096 596988 600544 622944 625968 631184 634248 651483 675612 682272 696486 700812 710082 713529 726768 730296 739956 744552 767556 772128 795984 800928 817614 828429 845664 863282 868644 895482 900816 907327 928648 934416 946776 951372 973728 986608 992736 1013418 1023408 1044729 1065123 1090152 1095444 1104572 1109934 1151334 1158192 1193976 1226421 1251936 1262368 1268496 1294923 1302966 1343223 1351224 1392972 1401624 1420164 1427058 1453536 1460592 1479912 1489104 1520127 1535112 1591968 1635228 1656858 1664901 1726564 1737288 1790964 1801632 1814654 1857296 1868832 1893552 1902744 1933001 1973216 2026836 2046816 2089458 2130246 2140587 2180304 2190888 2209144 2219868 2302668 2316384 2387952 2452842 2485287 2536992 2589846 2605932 2686446 2702448 2721981 2785944 2803248 2840328 2854116 2921184 2959824 2978208 3040254 3070224 3134187 3195369 3270456 3313716 3329802 3453128 3474576 3581928 3629308 3714592 3787104 3805488 3866002 3884769 4029669 4053672 4178916 4260492 4281174 4360608 4381776 4418288 4439736 4560381 4605336 4775904 4905684 4970574 4994703 5179692 5211864 5372892 5404896 5443962 5571888 5606496 5680656 5708232 5799003 5919648 6080508 6140448 6268374 6351289 6390738 6540912 6627432 6659604 6906256 6949152 7163856 7258616 7455861 7610976 7732004 7769538 8059338 8107344 8165943 8357832 8520984 8562348 8763552 8836576 8879472 9120762 9210672 9402561 9586107 9811368 9941148 9989406 10359384 10423728 10745784 10887924 11143776 11361312 11416464 11598006 11654307 12161016 12536748 12702578 12781476 13081824 13254864 13319208 13812512 14327712 14517232 14911722 14984109 15464008 15539076 16118676 16214688 16331886 16715664 17041968 17124696 17397009 17758944 18241524 18421344 18805122 19053867 19172214 19622736 19882296 19978812 20718768 20847456 21491568 21775848 22367583 22832928 23196012 23308614 24322032 24497829 25073496 25405156 25562952 26509728 26638416 28207683 29034464 29823444 29968218 30928016 31078152 32237352 32663772 33431328 34083936 34249392 34794018 34962921 36483048 37610244 38107734 38344428 39245472 39764592 39957624 41437536 42983136 43551696 44459023 44735166 46392024 46617228 48644064 48995658 50146992 50810312 51125904 52191027 53276832 56415366 57161601 59646888 59936436 61856032 62156304 64474704 65327544 67102749 68498784 69588036 69925842 72966096 73493487 75220488 76215468 76688856 79529184 79915248 87103392 88918046 89470332 92784048 93234456 97991316 100293984 101620624 102251808 104382054 104888763 112830732 114323202 119293776 119872872 124312608 128949408 130655088 133377069 134205498 139176072 139851684 145932192 146986974 150440976 152430936 153377712 156573081 159830496 171484803 177836092 178940664 185568096 186468912 195982632 203241248 208764108 209777526 220480461 225661464 228646404 238587552 239745744 261310176 266754138 268410996 278352144 279703368 293973948 300881952 304861872 306755424 313146162 342969606 355672184 357881328 372937824 391965264 400131207 417528216 419555052 440960922 451322928 457292808 469719243 479491488 514454409 533508276 536821992 556704288 559406736 587947896 609723744 626292324 685939212 711344368 715762656 783930528 800262414 835056432 839110104 881921844 902645856 914585616 939438486 1028908818 1067016552 1073643984 1118813472 1175895792 1200393621 1252584648 1371878424 1422688736 1543363227 1600524828 1670112864 1678220208 1763843688 1829171232 1878876972 2057817636 2134033104 2147287968 2351791584 2400787242 2505169296 2743756848 3086726454 3201049656 3356440416 3527687376 3601180863 3757753944 4115635272 4268066208 4801574484 5010338592 5487513696 6173452908 6402099312 7055374752 7202361726 7515507888 8231270544 9603148968 10803542589 12346905816 12804198624 14404723452 15031015776 16462541088 19206297936 21607085178 24693811632 28809446904 38412595872 43214170356 49387623264 57618893808 86428340712 115237787616 172856681424 345713362848
• Sum of all divisors σ(n): 1252831297536
• Sum of proper divisors (its aliquot sum) s(n): 907117934688
• 345713362848 is an abundant number, because the sum of its proper divisors (907117934688) is greater than itself. Its abundance is 561404571840

Bases of 345713362848

• Binary: 101000001111110000111110100011110100000₂
• Hexadecimal: 0x507E1F47A0
• Base-36: 4ETGT600

Squares and roots of 345713362848

• 345713362848 squared (345713362848²) is 119517729251672906671104
• 345713362848 cubed (345713362848³) is 41318876099552619094998216948744192
• The square root of 345713362848 is 587973.9474228429
• The cube root of 345713362848 is 7018.4097910207

Scales and comparisons

• 345,713,362,848 seconds is equal to 10,992 years, 32 weeks, 1 hour, 40 minutes, 48 seconds.
• To count from 1 to 345,713,362,848 would take you about twenty-one thousand, nine hundred eighty-five 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 345713362848 cubic inches would be around 584.9 feet tall.

Recreational maths with 345713362848

• 345713362848 backwards is 848263317543
• 345713362848 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345713362848's digits is 54
• More coming soon!