349868006400

Names of 349868006400

• Cardinal: 349868006400 can be written as Three hundred forty-nine billion, eight hundred sixty-eight million, six thousand, four hundred.

Scientific notation

• Scientific notation: 3.498680064 × 10¹¹

Factors of 349868006400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 418

Divisors of 349868006400

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 71 75 76 80 88 95 96 100 110 114 120 128 132 142 150 152 160 165 176 190 192 200 209 213 220 228 240 256 264 275 284 285 300 304 307 320 330 352 355 380 384 400 418 426 440 456 475 480 512 528 550 568 570 600 608 614 627 640 660 704 710 760 768 781 800 825 836 852 880 912 921 950 960 1024 1045 1056 1065 1100 1136 1140 1200 1216 1228 1254 1280 1320 1349 1408 1420 1425 1520 1535 1536 1562 1600 1650 1672 1704 1760 1775 1824 1842 1900 1920 2090 2112 2130 2200 2272 2280 2343 2400 2432 2456 2508 2560 2640 2698 2816 2840 2850 3040 3070 3072 3124 3135 3200 3300 3344 3377 3408 3520 3550 3648 3684 3800 3840 3905 4047 4180 4224 4260 4400 4544 4560 4605 4686 4800 4864 4912 5016 5120 5225 5280 5325 5396 5632 5680 5700 5833 6080 6140 6248 6270 6400 6600 6688 6745 6754 6816 7040 7100 7296 7368 7600 7675 7680 7810 8094 8360 8448 8520 8800 9088 9120 9210 9372 9600 9728 9824 10032 10131 10450 10560 10650 10792 11264 11360 11400 11666 11715 12160 12280 12496 12540 12800 13200 13376 13490 13508 13632 14080 14200 14592 14736 14839 15200 15350 15360 15620 15675 16188 16720 16885 16896 17040 17499 17600 18176 18240 18420 18744 19200 19456 19525 19648 20064 20235 20262 20900 21120 21300 21584 21797 22720 22800 23025 23332 23430 24320 24560 24992 25080 25600 26400 26752 26980 27016 27264 28160 28400 29165 29184 29472 29678 30400 30700 31240 31350 32376 33440 33725 33770 33792 34080 34998 35200 36352 36480 36840 37488 38400 39050 39296 40128 40470 40524 41800 42240 42600 43168 43594 44517 45440 45600 46050 46664 46860 48640 49120 49984 50160 50655 52800 53504 53960 54032 54528 56320 56800 58330 58368 58575 58944 59356 60800 61400 62480 62700 64163 64752 65391 66880 67450 67540 68160 69996 70400 72704 72960 73680 74195 74976 76800 78100 78592 80256 80940 81048 83600 84425 84480 85200 86336 87188 87495 89034 90880 91200 92100 93328 93720 97280 98240 99968 100320 101175 101310 105600 107008 107920 108064 108985 109056 113600 116660 117150 117888 118712 121600 122800 124960 125400 128326 129504 130782 133760 134900 135080 136320 139992 140800 145825 145920 147360 148390 149952 156200 157184 160512 161880 162096 167200 168850 168960 170400 172672 174376 174990 178068 181760 182400 184200 186656 187440 192489 196480 199936 200640 202350 202620 211200 214016 215840 216128 217970 218112 222585 227200 233320 234300 235776 237424 239767 243200 245600 249920 250800 253275 256652 259008 261564 267520 269800 270160 272640 279984 281600 291650 291840 294720 296780 299904 312400 314368 320815 321024 323760 324192 326955 334400 337700 340800 345344 348752 349980 356136 363520 364800 368400 370975 373312 374880 384978 392960 399872 401280 404700 405240 414143 422400 431680 432256 435940 437475 445170 454400 466640 468600 471552 474848 479534 486400 491200 499840 501600 506550 513304 518016 523128 535040 539600 540320 544925 545280 559968 583300 589440 593560 599808 624800 641630 642048 647520 648384 653910 668800 675400 681600 690688 697504 699960 712272 719301 729600 736800 741950 746624 749760 769956 785920 799744 802560 809400 810480 828286 844800 863360 864512 871880 874950 890340 908800 933280 937200 943104 949696 959068 962445 982400 999680 1003200 1013100 1026608 1036032 1046256 1070080 1079200 1080640 1089850 1090560 1112925 1119936 1166600 1178880 1187120 1198835 1199616 1242429 1249600 1283260 1295040 1296768 1307820 1337600 1350800 1363200 1381376 1395008 1399920 1424544 1438602 1459200 1473600 1483900 1493248 1499520 1539912 1571840 1604075 1605120 1618800 1620960 1634775 1656572 1726720 1729024 1743760 1749900 1780680 1817600 1866560 1874400 1899392 1918136 1924890 1964800 1999360 2006400 2026200 2053216 2070715 2072064 2092512 2158400 2161280 2179700 2225850 2239872 2333200 2357760 2374240 2397670 2399232 2484858 2499200 2566520 2590080 2593536 2615640 2675200 2701600 2726400 2790016 2799840 2849088 2877204 2947200 2967800 2986496 2999040 3079824 3208150 3210240 3237600 3241920 3269550 3313144 3453440 3458048 3487520 3499800 3561360 3596505 3733120 3748800 3798784 3836272 3849780 3929600 3998720 4012800 4052400 4106432 4141430 4144128 4185024 4316800 4322560 4359400 4451700 4479744 4555573 4666400 4715520 4748480 4795340 4812225 4969716 4998400 5133040 5180160 5187072 5231280 5350400 5403200 5452800 5580032 5599680 5698176 5754408 5894400 5935600 5972992 5994175 5998080 6159648 6212145 6416300 6475200 6483840 6539100 6626288 6906880 6975040 6999600 7122720 7193010 7466240 7497600 7597568 7672544 7699560 7859200 8025600 8104800 8212864 8282860 8370048 8633600 8645120 8718800 8903400 8959488 9111146 9332800 9496960 9590680 9624450 9939432 9996800 10266080 10353575 10360320 10374144 10462560 10806400 11160064 11199360 11396352 11508816 11788800 11871200 11988350 11996160 12319296 12424290 12832600 12950400 12967680 13078200 13252576 13666719 13950080 13999200 14245440 14386020 14932480 14995200 15195136 15345088 15399120 16051200 16209600 16425728 16565720 16740096 17267200 17290240 17437600 17806800 17918976 17982525 18222292 18665600 18993920 19181360 19248900 19878864 19993600 20532160 20707150 20720640 20925120 21612800 22320128 22398720 22777865 22792704 23017632 23577600 23742400 23976700 24638592 24848580 25665200 25900800 25935360 26156400 26505152 27333438 27900160 27998400 28490880 28772040 29864960 29990400 30690176 30798240 31060725 32419200 32851456 33131440 33480192 34534400 34875200 35613600 35965050 36444584 37331200 37987840 38362720 38497800 39757728 41064320 41414300 41850240 43225600 44797440 45555730 45585408 46035264 47484800 47953400 49277184 49697160 51330400 51801600 51870720 52312800 53010304 54666876 55800320 55996800 56981760 57544080 59980800 61380352 61596480 62121450 64838400 65702912 66262880 66960384 68333595 69750400 71227200 71930100 72889168 74662400 75975680 76725440 76995600 79515456 82128640 82828600 83700480 86451200 89594880 91111460 92070528 94969600 95906800 98554368 99394320 102660800 103603200 104625600 106020608 109333752 111600640 111993600 113889325 113963520 115088160 122760704 123192960 124242900 129676800 132525760 136667190 139500800 142454400 143860200 145778336 149324800 153450880 153991200 159030912 164257280 165657200 167400960 182222920 184141056 189939200 191813600 197108736 198788640 205321600 209251200 212041216 218667504 223987200 227778650 227927040 230176320 245521408 246385920 248485800 259353600 265051520 273334380 279001600 284908800 287720400 291556672 306901760 307982400 318061824 328514560 331314400 334801920 341667975 364445840 368282112 379878400 383627200 397577280 410643200 418502400 424082432 437335008 447974400 455557300 460352640 492771840 496971600 530103040 546668760 558003200 569817600 575440800 583113344 613803520 615964800 636123648 662628800 683335950 728891680 736564224 767254400 795154560 821286400 837004800 874670016 911114600 920705280 985543680 993943200 1060206080 1093337520 1139635200 1150881600 1166226688 1227607040 1231929600 1272247296 1325257600 1366671900 1457783360 1534508800 1590309120 1642572800 1674009600 1749340032 1822229200 1841410560 1987886400 2120412160 2186675040 2301763200 2332453376 2463859200 2650515200 2733343800 2915566720 3069017600 3180618240 3498680064 3644458400 3682821120 3975772800 4373350080 4603526400 4664906752 4927718400 5301030400 5466687600 5831133440 6138035200 6361236480 6997360128 7288916800 7951545600 8746700160 9207052800 10602060800 10933375200 11662266880 13994720256 14577833600 15903091200 17493400320 18414105600 21866750400 23324533760 29155667200 31806182400 34986800640 43733500800 58311334400 69973601280 87467001600 116622668800 174934003200 349868006400
• Sum of all divisors σ(n): 1350933534720
• Sum of proper divisors (its aliquot sum) s(n): 1001065528320
• 349868006400 is an abundant number, because the sum of its proper divisors (1001065528320) is greater than itself. Its abundance is 651197521920

Bases of 349868006400

• Binary: 101000101110101110000100001110000000000₂
• Hexadecimal: 0x5175C21C00
• Base-36: 4GQ6DLHC

Squares and roots of 349868006400

• 349868006400 squared (349868006400²) is 122407621902310440960000
• 349868006400 cubed (349868006400³) is 42826510643126329532580102144000000
• The square root of 349868006400 is 591496.4128378125
• The cube root of 349868006400 is 7046.4127175049

Scales and comparisons

• 349,868,006,400 seconds is equal to 11,124 years, 37 weeks, 3 days, 5 hours, 20 minutes.
• To count from 1 to 349,868,006,400 would take you about twenty-two thousand, two hundred forty-nine 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 349868006400 cubic inches would be around 587.2 feet tall.

Recreational maths with 349868006400

• 349868006400 backwards is 004600868943
• 349868006400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 349868006400's digits is 48
• More coming soon!