345643009920

Names of 345643009920

• Cardinal: 345643009920 can be written as Three hundred forty-five billion, six hundred forty-three million, nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.4564300992 × 10¹¹

Factors of 345643009920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3190

Divisors of 345643009920

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 29 30 32 34 36 39 40 45 48 51 52 54 58 60 64 65 68 72 78 80 85 87 90 96 102 104 108 116 117 120 128 130 135 136 144 145 153 156 160 170 174 180 192 195 204 208 216 221 232 234 240 255 260 261 270 272 288 290 306 312 320 340 348 351 360 377 384 390 408 416 432 435 442 459 464 468 480 493 510 520 522 540 544 576 580 585 612 624 640 663 680 696 702 720 754 765 780 783 816 832 864 870 884 918 928 936 960 986 1020 1040 1044 1080 1088 1105 1131 1152 1160 1170 1224 1248 1305 1326 1360 1392 1404 1440 1479 1508 1530 1560 1566 1632 1664 1728 1740 1755 1768 1836 1856 1872 1885 1920 1972 1989 2040 2080 2088 2160 2176 2210 2262 2295 2320 2340 2448 2465 2496 2610 2652 2720 2784 2808 2880 2958 3016 3060 3120 3121 3132 3264 3315 3393 3456 3480 3510 3536 3672 3712 3744 3770 3915 3944 3978 4080 4160 4176 4320 4420 4437 4524 4590 4640 4680 4896 4930 4992 5220 5304 5440 5568 5616 5655 5760 5916 5967 6032 6120 6240 6242 6264 6409 6528 6630 6786 6960 7020 7072 7344 7395 7488 7540 7830 7888 7956 8160 8320 8352 8640 8840 8874 9048 9180 9280 9360 9363 9792 9860 9945 10179 10440 10608 10880 11136 11232 11310 11832 11934 12064 12240 12480 12484 12528 12818 13260 13311 13572 13920 14040 14144 14688 14790 14976 15080 15605 15660 15776 15912 16320 16704 16965 17280 17680 17748 18096 18360 18560 18720 18726 19227 19584 19720 19890 20358 20880 21216 22185 22464 22620 23664 23868 24128 24480 24960 24968 25056 25636 26520 26622 27144 27840 28080 28089 28288 29376 29580 29835 30160 31210 31320 31552 31824 32045 32640 33408 33930 35360 35496 36192 36720 37440 37452 38454 39440 39780 40573 40716 41760 42432 44370 44928 45240 46815 47328 47736 48256 48960 49936 50112 50895 51272 53040 53057 53244 54288 55680 56160 56178 57681 58752 59160 59670 60320 62420 62640 63104 63648 64090 66555 67860 70720 70992 72384 73440 74880 74904 76908 78880 79560 81146 81432 83520 84267 84864 88740 90480 90509 93630 94656 95472 96135 97920 99872 100224 101790 102544 106080 106114 106488 108576 112320 112356 115362 118320 119340 120640 121719 124840 125280 127296 128180 133110 135720 140445 141440 141984 144768 146880 149808 153816 157760 159120 159171 162292 162864 167040 168534 173043 177480 180960 181018 187260 189312 190944 192270 199744 202865 203580 205088 212160 212228 212976 217152 224640 224712 230724 236640 238680 241280 243438 249680 250560 254592 256360 265285 266220 271440 271527 280890 283968 288405 293760 299616 307632 315520 318240 318342 324584 325728 337068 346086 354960 361920 362036 365157 374520 381888 384540 399488 405730 407160 410176 421335 424320 424456 425952 434304 449424 452545 461448 473280 477360 477513 486876 499360 501120 512720 530570 532440 542880 543054 561780 567936 576810 599232 608595 615264 636480 636684 649168 651456 674136 689741 692172 709920 723840 724072 730314 749040 763776 769080 795855 811460 814320 814581 820352 842670 848912 851904 865215 898848 905090 922896 946560 954720 955026 973752 998720 1025440 1061140 1064880 1085760 1086108 1095471 1123560 1153620 1176617 1198464 1217190 1230528 1272960 1273368 1298336 1302912 1348272 1357635 1379482 1384344 1419840 1432539 1448144 1460628 1498080 1538160 1538653 1591710 1622920 1628640 1629162 1685340 1697824 1703808 1730430 1797696 1810180 1825785 1845792 1909440 1910052 1947504 1997440 2050880 2069223 2122280 2129760 2171520 2172216 2190942 2247120 2307240 2353234 2387565 2434380 2443743 2461056 2546736 2596672 2696544 2715270 2758964 2768688 2839680 2865078 2896288 2921256 2996160 3076320 3077306 3183420 3245840 3257280 3258324 3370680 3395648 3448705 3460860 3529851 3595392 3620360 3651570 3691584 3818880 3820104 3895008 4072905 4101760 4138446 4244560 4259520 4344432 4381884 4494240 4614480 4615959 4706468 4775130 4868760 4887486 5093472 5193344 5393088 5430540 5477355 5517928 5537376 5730156 5792576 5842512 5883085 5992320 6152640 6154612 6207669 6366840 6491680 6514560 6516648 6741360 6791296 6897410 6921720 7059702 7162695 7240720 7303140 7383168 7640208 7693265 7790016 8145810 8276892 8489120 8519040 8688864 8763768 8988480 9228960 9231918 9412936 9550260 9737520 9774972 10186944 10346115 10589553 10786176 10861080 10954710 11035856 11074752 11460312 11585152 11685024 11766170 12218715 12305280 12309224 12415338 12733680 12983360 13033296 13482720 13794820 13843440 13847877 14119404 14325390 14481440 14606280 15280416 15386530 15580032 16291620 16553784 16978240 17377728 17527536 17649255 17976960 18457920 18463836 18623007 18825872 19100520 19475040 19549944 20002489 20373888 20692230 21179106 21722160 21909420 22071712 22149504 22920624 23079795 23370048 23532340 24437430 24618448 24830676 25467360 25966720 26066592 26965440 27589640 27686880 27695754 28238808 28650780 28962880 29212560 30560832 30773060 31038345 31768659 32583240 33107568 33956480 34755456 35055072 35298510 36915840 36927672 37246014 37651744 38201040 38950080 39099888 40004978 41384460 41543631 42358212 43444320 43818840 44143424 45841248 46159590 46740096 47064680 48874860 49236896 49661352 50934720 52133184 52947765 53930880 55179280 55373760 55391508 56477616 57301560 57925760 58425120 60007467 61121664 61546120 62076690 63537318 65166480 66215136 69239385 70110144 70597020 73855344 74492028 75303488 76402080 77900160 78199776 80009956 82768920 83087262 84716424 86888640 87637680 88286848 91682496 92319180 93115035 94129360 97749720 98473792 99322704 100012445 101869440 104266368 105895530 110358560 110747520 110783016 112955232 114603120 116850240 120014934 123092240 124153380 127074636 130332960 132430272 138478770 140220288 141194040 147710688 148984056 150606976 152804160 156399552 158843295 160019912 165537840 166174524 169432848 173777280 175275360 180022401 183364992 184638360 186230070 188258720 195499440 196947584 198645408 200024890 207718155 211791060 220717120 221566032 225910464 229206240 233700480 240029868 246184480 248306760 254149272 260665920 264860544 276957540 282388080 295421376 297968112 300037335 305608320 312799104 317686590 320039824 331075680 332349048 338865696 350550720 360044802 369276720 372460140 376517440 390998880 397290816 400049780 415436310 423582120 441434240 443132064 451820928 458412480 480059736 492368960 496613520 508298544 521331840 540067203 553915080 564776160 590842752 595936224 600074670 635373180 640079648 662151360 664698096 677731392 701101440 720089604 738553440 744920280 753034880 781997760 794581632 800099560 830872620 847164240 886264128 900112005 916824960 960119472 984737920 993227040 1016597088 1080134406 1107830160 1129552320 1191872448 1200149340 1270746360 1280159296 1324302720 1329396192 1355462784 1440179208 1477106880 1489840560 1563995520 1600199120 1661745240 1694328480 1772528256 1800224010 1920238944 1986454080 2033194176 2160268812 2215660320 2259104640 2383744896 2400298680 2541492720 2560318592 2658792384 2700336015 2880358416 2954213760 2979681120 3200398240 3323490480 3388656960 3600448020 3840477888 3972908160 4066388352 4320537624 4431320640 4800597360 5082985440 5317584768 5400672030 5760716832 5959362240 6400796480 6646980960 6777313920 7200896040 7680955776 8641075248 8862641280 9601194720 10165970880 10801344060 11521433664 11918724480 12801592960 13293961920 14401792080 17282150496 19202389440 20331941760 21602688120 23042867328 26587923840 28803584160 34564300992 38404778880 43205376240 57607168320 69128601984 86410752480 115214336640 172821504960 345643009920
• Sum of all divisors σ(n): 1444461984000
• Sum of proper divisors (its aliquot sum) s(n): 1098818974080
• 345643009920 is an abundant number, because the sum of its proper divisors (1098818974080) is greater than itself. Its abundance is 753175964160

Bases of 345643009920

• Binary: 101000001111001111011011100011110000000₂
• Hexadecimal: 0x5079EDC780
• Base-36: 4ESAX9C0

Squares and roots of 345643009920

• 345643009920 squared (345643009920²) is 119469090306557218406400
• 345643009920 cubed (345643009920³) is 41293655965962732482690921791488000
• The square root of 345643009920 is 587914.1178097359
• The cube root of 345643009920 is 7017.9336748413

Scales and comparisons

• 345,643,009,920 seconds is equal to 10,990 years, 19 weeks, 4 days, 19 hours, 12 minutes.
• To count from 1 to 345,643,009,920 would take you about twenty-one thousand, nine hundred eighty 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 345643009920 cubic inches would be around 584.8 feet tall.

Recreational maths with 345643009920

• 345643009920 backwards is 029900346543
• 345643009920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345643009920's digits is 45
• More coming soon!