345353538816

Names of 345353538816

• Cardinal: 345353538816 can be written as Three hundred forty-five billion, three hundred fifty-three million, five hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 3.45353538816 × 10¹¹

Factors of 345353538816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 77

Divisors of 345353538816

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 31 32 33 34 36 39 44 48 51 52 54 62 64 66 68 72 78 81 88 93 96 99 102 104 108 117 124 128 132 136 143 144 153 156 162 169 176 186 187 192 198 204 208 216 221 234 248 256 264 272 279 286 288 289 297 306 312 324 338 341 351 352 372 374 384 396 403 408 416 429 432 442 459 468 496 507 527 528 544 558 561 572 576 578 594 612 624 648 663 676 682 702 704 744 748 768 792 806 816 832 837 858 864 867 884 891 918 936 992 1014 1023 1053 1054 1056 1088 1116 1122 1144 1152 1156 1188 1209 1224 1248 1287 1296 1326 1352 1364 1377 1404 1408 1488 1496 1521 1581 1584 1612 1632 1664 1674 1683 1716 1728 1734 1768 1782 1836 1859 1872 1984 1989 2028 2046 2106 2108 2112 2176 2232 2244 2288 2304 2312 2376 2418 2431 2448 2496 2511 2574 2592 2601 2652 2704 2728 2754 2808 2816 2873 2976 2992 3042 3069 3162 3168 3179 3224 3264 3328 3348 3366 3432 3456 3468 3536 3564 3627 3672 3718 3744 3757 3861 3968 3978 4056 4092 4212 4216 4224 4352 4433 4464 4488 4563 4576 4624 4743 4752 4836 4862 4896 4992 5022 5049 5148 5184 5202 5239 5304 5408 5456 5508 5577 5616 5746 5797 5952 5967 5984 6084 6138 6324 6336 6358 6448 6528 6696 6732 6851 6864 6912 6936 7072 7128 7254 7293 7344 7436 7488 7514 7722 7803 7936 7956 8112 8184 8424 8432 8448 8619 8866 8928 8959 8976 9126 9152 9207 9248 9486 9504 9537 9672 9724 9792 9984 10044 10098 10296 10368 10404 10478 10608 10816 10881 10912 11016 11154 11232 11271 11492 11583 11594 11904 11934 11968 12168 12276 12648 12672 12716 12896 13056 13299 13392 13464 13689 13702 13728 13872 14144 14229 14256 14508 14586 14688 14872 14976 15028 15147 15444 15606 15717 15912 16224 16368 16731 16848 16864 17238 17391 17732 17856 17901 17918 17952 18252 18304 18414 18496 18972 19008 19074 19344 19448 19584 20088 20196 20553 20592 20736 20808 20956 21216 21632 21762 21824 21879 22032 22308 22464 22542 22984 23166 23188 23409 23808 23868 23936 24336 24552 25296 25344 25432 25792 25857 26598 26784 26877 26928 27378 27404 27456 27621 27744 28288 28458 28512 28611 29016 29172 29376 29744 29952 30056 30294 30888 31212 31434 31603 31824 32448 32643 32736 33462 33696 33728 33813 34476 34782 35464 35712 35802 35836 35904 36504 36608 36828 36992 37944 38016 38148 38688 38896 39168 39897 40176 40392 41106 41184 41327 41616 41912 42432 42687 43264 43524 43648 43758 44064 44616 44928 45084 45968 46332 46376 46818 47151 47736 47872 48672 48841 49104 50193 50592 50864 51584 51714 52173 53196 53568 53754 53856 54756 54808 54912 55242 55488 56576 56916 57024 57222 57629 58032 58344 58752 59488 60112 60588 61659 61776 62424 62868 63206 63648 64896 65286 65472 65637 66924 67392 67456 67626 68952 69564 70928 71424 71604 71672 71808 73008 73656 73984 75361 75888 76032 76296 77376 77571 77792 79794 80352 80631 80784 82212 82368 82654 83232 83824 84864 85374 85833 87048 87296 87516 88128 89063 89232 89856 90168 91936 92664 92752 93636 94302 94809 95472 97344 97682 98208 98549 100386 101184 101439 101728 103168 103428 104346 106392 107136 107508 107712 109512 109616 109824 110484 110976 113832 114048 114444 115258 116064 116467 116688 117504 118976 119691 120224 121176 123318 123552 123981 124848 125736 126412 127296 129792 130572 130944 131274 133848 134784 134912 135252 137904 139128 141453 141856 143208 143344 143616 146016 146523 147312 150579 150722 151776 152592 154752 155142 155584 156519 159588 160704 161262 161568 164424 164736 165308 166464 167648 169728 170748 171666 172887 174096 175032 176256 178126 178464 180336 183872 184977 185328 185504 187272 188604 189618 190944 194688 195364 196416 196911 197098 200772 202368 202878 203456 206856 208692 212784 214272 215016 215424 219024 219232 220968 221952 226083 227664 228096 228888 230516 232128 232713 232934 233376 237952 239382 240448 241893 242352 246636 247104 247962 249696 251472 252824 254592 257499 261144 261888 262548 267189 267696 269568 270504 275808 278256 282906 283712 284427 286416 286688 292032 293046 294624 295647 301158 301444 303552 304317 305184 309504 310284 311168 313038 319176 321408 322524 323136 328848 329472 330616 332928 335296 341496 343332 345774 348192 349401 350064 352512 356252 356928 359073 360672 367744 369954 370656 371008 371943 374544 377208 379236 381888 389376 390728 392832 393822 394196 401544 404736 405756 406912 413712 417384 424359 425568 430032 430848 438048 438464 439569 441936 452166 455328 457776 461032 464256 465426 465868 466752 469557 475904 478764 480896 483786 484704 493272 494208 495924 499392 502944 505648 509184 514998 518661 522288 525096 534378 535392 537251 541008 551616 554931 556512 565812 567424 568854 572832 573376 584064 586092 589248 591294 602316 602888 607104 608634 610368 620568 622336 626076 638352 642816 645048 646272 657696 661232 665856 670592 678249 682992 686664 691548 696384 698802 700128 712504 713856 718146 721344 725679 735488 739908 741312 742016 743886 749088 754416 758472 763776 781456 785664 787644 788392 801567 803088 811512 813824 827424 834768 848718 851136 853281 860064 876096 876928 879138 883872 886941 904332 910656 915552 922064 928512 930852 931736 933504 939114 957528 961792 967572 969408 979693 986544 988416 991848 998784 1005888 1011296 1029996 1037322 1044576 1048203 1050192 1068756 1070784 1074502 1082016 1103232 1109862 1113024 1115829 1131624 1134848 1137708 1145664 1146752 1168128 1172184 1178496 1182588 1204632 1205776 1214208 1217268 1220736 1241136 1252152 1276704 1281137 1290096 1292544 1315392 1318707 1322464 1341184 1356498 1365984 1373328 1383096 1392768 1397604 1400256 1425008 1427712 1436292 1442688 1451358 1479816 1482624 1484032 1487772 1498176 1508832 1514071 1516944 1527552 1555983 1562912 1575288 1576784 1603134 1606176 1611753 1623024 1654848 1669536 1697436 1702272 1706562 1720128 1752192 1753856 1758276 1767744 1773882 1808664 1821312 1831104 1844128 1861704 1863472 1867008 1878228 1915056 1935144 1938816 1959386 1973088 1983696 1997568 2011776 2022592 2034747 2059992 2074644 2089152 2096406 2100384 2137512 2141568 2149004 2164032 2206464 2219724 2226048 2231658 2263248 2275416 2291328 2293504 2344368 2356992 2365176 2404701 2409264 2411552 2434536 2441472 2482272 2504304 2553408 2559843 2562274 2580192 2630784 2637414 2644928 2660823 2712996 2731968 2746656 2766192 2785536 2795208 2800512 2850016 2872584 2885376 2902716 2939079 2959632 2965248 2975544 2996352 3017664 3028142 3033888 3111966 3125824 3144609 3150576 3153568 3206268 3212352 3223506 3246048 3309696 3339072 3347487 3394872 3404544 3413124 3440256 3504384 3516552 3535488 3547764 3617328 3642624 3662208 3688256 3723408 3726944 3756456 3830112 3843411 3870288 3877632 3918772 3946176 3956121 3967392 4023552 4045184 4069494 4119984 4149288 4178304 4192812 4200768 4275024 4283136 4298008 4328064 4439448 4452096 4463316 4526496 4542213 4550832 4582656 4667949 4688736 4730352 4809402 4818528 4823104 4835259 4869072 4964544 5008608 5106816 5119686 5124548 5160384 5261568 5274828 5289856 5321646 5425992 5463936 5493312 5532384 5590416 5601024 5700032 5745168 5805432 5878158 5919264 5951088 5992704 6035328 6056284 6067776 6104241 6223932 6251648 6289218 6301152 6307136 6412536 6424704 6447012 6492096 6619392 6678144 6694974 6789744 6826248 6880512 7033104 7070976 7095528 7214103 7234656 7324416 7376512 7446816 7453888 7512912 7660224 7686822 7740576 7837544 7892352 7912242 7934784 7982469 8090368 8138988 8239968 8298576 8356608 8385624 8401536 8550048 8596016 8656128 8817237 8878896 8926632 9052992 9084426 9101664 9335898 9377472 9433827 9460704 9618804 9637056 9646208 9670518 9738144 9929088 10017216 10213632 10239372 10249096 10320768 10549656 10579712 10643292 10851984 10927872 10986624 11064768 11180832 11400064 11490336 11530233 11610864 11756316 11838528 11902176 12070656 12112568 12135552 12208482 12447864 12503296 12578436 12602304 12614272 12825072 12849408 12894024 12984192 13356288 13389948 13579488 13626639 13652496 14066208 14191056 14428206 14469312 14505777 14753024 14893632 14907776 15025824 15320448 15373644 15481152 15675088 15784704 15824484 15869568 15964938 16277976 16479936 16597152 16654781 16771248 16803072 17100096 17192032 17634474 17757792 17853264 18105984 18168852 18203328 18671796 18754944 18867654 18921408 19237608 19274112 19292416 19341036 19476288 19858176 20034432 20478744 20498192 20641536 21099312 21286584 21703968 21973248 22129536 22361664 22800128 22980672 23060466 23221728 23512632 23677056 23804352 24225136 24271104 24416964 24895728 25156872 25204608 25228544 25650144 25788048 25968384 26451711 26779896 27158976 27253278 27304992 28132416 28382112 28856412 28938624 29011554 29787264 29815552 30051648 30640896 30747288 30962304 31350176 31648968 31739136 31929876 32555952 32959872 33194304 33309562 33542496 34200192 34384064 34590699 35268948 35515584 35706528 36211968 36337704 36406656 37343592 37509888 37735308 37842816 38475216 38548224 38682072 38952576 40068864 40879917 40957488 40996384 42198624 42573168 43407936 43517331 44259072 44723328 45961344 46120932 46443456 47025264 47354112 47608704 48450272 48833928 49791456 49964343 50313744 50409216 51300288 51576096 52903422 53559792 54317952 54506556 54609984 56264832 56764224 57712824 57877248 58023108 59574528 60103296 61494576 61924608 62700352 63297936 63859752 65111904 65919744 66388608 66619124 67084992 68400384 68768128 69181398 70537896 71031168 71413056 72675408 72813312 74687184 75470616 75685632 76950432 77364144 77905152 79355133 81759834 81914976 81992768 84397248 85146336 86815872 87034662 89446656 91922688 92241864 92886912 94050528 95217408 96900544 97667856 99582912 99928686 100627488 102600576 103152192 103772097 105806844 107119584 108635904 109013112 109219968 112529664 113528448 115425648 116046216 120206592 122639751 122989152 125400704 126595872 127719504 130223808 132777216 133238248 134169984 137536256 138362796 141075792 142062336 142826112 145350816 149374368 149893029 150941232 153900864 154728288 158710266 163519668 163829952 163985536 168794496 170292672 173631744 174069324 184483728 185773824 188101056 193801088 195335712 199165824 199857372 201254976 205201152 206304384 207544194 211613688 214239168 218026224 218439936 227056896 230851296 232092432 245279502 245978304 250801408 253191744 255439008 260447616 266476496 268339968 276725592 282151584 285652224 290701632 298748736 299786058 301882464 307801728 309456576 317420532 327039336 327659904 327971072 337588992 340585344 348138648 368967456 376202112 387602176 390671424 398331648 399714744 402509952 412608768 415088388 423227376 428478336 436052448 449679087 461702592 464184864 490559004 491956608 506383488 510878016 520895232 532952992 553451184 564303168 581403264 597497472 599572116 603764928 615603456 618913152 634841064 654078672 655319808 681170688 696277296 737934912 752404224 781342848 799429488 805019904 830176776 846454752 856956672 872104896 899358174 923405184 928369728 981118008 983913216 1012766976 1021756032 1065905984 1106902368 1128606336 1162806528 1194994944 1199144232 1207529856 1237826304 1269682128 1308157344 1349037261 1392554592 1475869824 1562685696 1598858976 1660353552 1692909504 1744209792 1798716348 1846810368 1856739456 1962236016 2043512064 2131811968 2213804736 2257212672 2398288464 2415059712 2539364256 2616314688 2698074522 2785109184 2951739648 3197717952 3320707104 3385819008 3488419584 3597432696 3713478912 3924472032 4263623936 4427609472 4796576928 5078728512 5232629376 5396149044 5570218368 6395435904 6641414208 6771638016 7194865392 7848944064 8855218944 9593153856 10157457024 10465258752 10792298088 11140436736 12790871808 13282828416 14389730784 15697888128 19186307712 20314914048 21584596176 26565656832 28779461568 31395776256 38372615424 43169192352 57558923136 86338384704 115117846272 172676769408 345353538816
• Sum of all divisors σ(n): 1333911325824
• Sum of proper divisors (its aliquot sum) s(n): 988557787008
• 345353538816 is an abundant number, because the sum of its proper divisors (988557787008) is greater than itself. Its abundance is 643204248192

Bases of 345353538816

• Binary: 101000001101000101011001100110100000000₂
• Hexadecimal: 0x5068ACCD00
• Base-36: 4ENIKW00

Squares and roots of 345353538816

• 345353538816 squared (345353538816²) is 119269066772734418681856
• 345353538816 cubed (345353538816³) is 41189994281245631912703551650922496
• The square root of 345353538816 is 587667.8813887993
• The cube root of 345353538816 is 7015.9739877957

Scales and comparisons

• 345,353,538,816 seconds is equal to 10,981 years, 9 weeks, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 345,353,538,816 would take you about twenty-one thousand, nine hundred sixty-two 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 345353538816 cubic inches would be around 584.7 feet tall.

Recreational maths with 345353538816

• 345353538816 backwards is 618835353543
• 345353538816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345353538816's digits is 54
• More coming soon!