468448945920

Names of 468448945920

• Cardinal: 468448945920 can be written as Four hundred sixty-eight billion, four hundred forty-eight million, nine hundred forty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.6844894592 × 10¹¹

Factors of 468448945920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2617

Divisors of 468448945920

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 31 32 36 38 40 45 48 54 57 60 62 64 72 76 80 81 90 93 95 96 108 114 120 124 128 135 144 152 155 160 162 171 180 186 190 192 216 228 240 243 248 256 270 279 285 288 304 310 320 324 342 360 372 380 384 405 432 456 465 480 486 496 513 540 558 570 576 589 608 620 640 648 684 720 744 760 768 810 837 855 864 912 930 960 972 992 1026 1080 1116 1140 1152 1178 1215 1216 1240 1280 1296 1368 1395 1440 1488 1520 1539 1620 1674 1710 1728 1767 1824 1860 1920 1944 1984 2052 2160 2232 2280 2304 2356 2430 2432 2480 2511 2557 2565 2592 2736 2790 2880 2945 2976 3040 3078 3240 3348 3420 3456 3534 3648 3720 3840 3888 3968 4104 4185 4320 4464 4560 4617 4712 4860 4864 4960 5022 5114 5130 5184 5301 5472 5580 5760 5890 5952 6080 6156 6480 6696 6840 6912 7068 7296 7440 7533 7671 7695 7776 7936 8208 8370 8640 8835 8928 9120 9234 9424 9720 9920 10044 10228 10260 10368 10602 10944 11160 11520 11780 11904 12160 12312 12555 12785 12960 13392 13680 14136 14592 14880 15066 15342 15390 15552 15903 16416 16740 17280 17670 17856 18240 18468 18848 19440 19840 20088 20456 20520 20736 21204 21888 22320 23013 23085 23560 23808 24320 24624 25110 25570 25920 26505 26784 27360 28272 29760 30132 30684 30780 31104 31806 32832 33480 34560 35340 35712 36480 36936 37665 37696 38355 38880 39680 40176 40912 41040 42408 43776 44640 46026 46170 47120 47709 48583 49248 50220 51140 51840 53010 53568 54720 56544 59520 60264 61368 61560 62208 63612 65664 66960 69039 70680 71424 72960 73872 75330 75392 76710 77760 79267 79515 80352 81824 82080 84816 89280 92052 92340 94240 95418 97166 98496 100440 102280 103680 106020 107136 109440 113088 115065 119040 120528 122736 123120 127224 131328 133920 138078 141360 143127 145749 147744 150660 150784 153420 155520 158534 159030 160704 163648 164160 169632 178560 184104 184680 188480 190836 194332 196992 200880 204560 207117 212040 214272 218880 226176 230130 237801 238545 241056 242915 245472 246240 254448 267840 276156 282720 286254 291498 295488 301320 306840 311040 317068 318060 321408 327296 328320 339264 345195 357120 368208 369360 376960 381672 388664 393984 396335 401760 409120 414234 424080 437247 452352 460260 475602 477090 482112 485830 490944 492480 508896 535680 552312 565440 572508 582996 590976 602640 613680 621351 634136 636120 642816 654592 656640 678528 690390 713403 715635 728745 736416 738720 753920 763344 777328 792670 803520 818240 828468 848160 874494 920520 951204 954180 964224 971660 981888 984960 1017792 1035585 1071360 1104624 1130880 1145016 1165992 1181952 1189005 1205280 1227360 1242702 1268272 1272240 1311741 1357056 1380780 1426806 1431270 1457490 1472832 1477440 1506073 1526688 1554656 1585340 1607040 1636480 1656936 1696320 1748988 1841040 1902408 1908360 1928448 1943320 1963776 1969920 2035584 2071170 2140209 2186235 2209248 2261760 2290032 2331984 2378010 2410560 2454720 2485404 2536544 2544480 2623482 2761560 2853612 2862540 2914980 2945664 2954880 3012146 3053376 3106755 3109312 3170680 3214080 3272960 3313872 3392640 3497976 3567015 3682080 3804816 3816720 3886640 3935223 4071168 4142340 4280418 4372470 4418496 4518219 4580064 4663968 4756020 4821120 4909440 4970808 5073088 5088960 5246964 5523120 5707224 5725080 5829960 5891328 5909760 6024292 6106752 6213510 6218624 6341360 6420627 6558705 6627744 6785280 6995952 7134030 7364160 7530365 7609632 7633440 7773280 7870446 8284680 8560836 8744940 8836992 9036438 9160128 9327936 9512040 9642240 9818880 9941616 10146176 10177920 10493928 10701045 11046240 11414448 11450160 11659920 11805669 12048584 12213504 12427020 12437248 12682720 12841254 13117410 13255488 13554657 13991904 14268060 14728320 15060730 15219264 15266880 15546560 15740892 16569360 17121672 17489880 17673984 18072876 18320256 18655872 19024080 19261881 19676115 19883232 20292352 20355840 20987856 21402090 22092480 22591095 22828896 22900320 23319840 23611338 24097168 24854040 25365440 25682508 26234820 26510976 27109314 27983808 28536120 29456640 30121460 30438528 30533760 31093120 31481784 32103135 33138720 34243344 34979760 36145752 36640512 37311744 38048160 38523762 39352230 39766464 40663971 41975712 42804180 44184960 45182190 45657792 45800640 46639680 47222676 48194336 49708080 50730880 51365016 52469640 53021952 54218628 55967616 57072240 59028345 60242920 60877056 61067520 62186240 62963568 64206270 66277440 67773285 68486688 69959520 72291504 76096320 77047524 78704460 79532928 81327942 83951424 85608360 88369920 90364380 91315584 91601280 93279360 94445352 96309405 96388672 99416160 101461760 102730032 104939280 108437256 111935232 114144480 118056690 120485840 121991913 125927136 128412540 132554880 135546570 136973376 139919040 144583008 152192640 154095048 157408920 159065856 162655884 167902848 171216720 180728760 182631168 183202560 186558720 188890704 192618810 192777344 198832320 203319855 205460064 209878560 216874512 228288960 236113380 240971680 243983826 251854272 256825080 265109760 271093140 273946752 279838080 289166016 304385280 308190096 314817840 325311768 335805696 342433440 361457520 365975739 377781408 385237620 385554688 397664640 406639710 410920128 419757120 433749024 456577920 472226760 481943360 487967652 503708544 513650160 542186280 547893504 559676160 578332032 609959565 616380192 629635680 650623536 684866880 722915040 731951478 755562816 770475240 795329280 813279420 821840256 839514240 867498048 913155840 944453520 963886720 975935304 1007417088 1027300320 1084372560 1156664064 1219919130 1232760384 1259271360 1301247072 1369733760 1445830080 1463902956 1511125632 1540950480 1626558840 1643680512 1679028480 1734996096 1829878695 1888907040 1927773440 1951870608 2054600640 2168745120 2439838260 2465520768 2518542720 2602494144 2739467520 2891660160 2927805912 3022251264 3081900960 3253117680 3469992192 3659757390 3777814080 3903741216 4109201280 4337490240 4879676520 4931041536 5037085440 5204988288 5783320320 5855611824 6163801920 6506235360 7319514780 7555628160 7807482432 8218402560 8674980480 9759353040 10409976576 11711223648 12327603840 13012470720 14639029560 15111256320 15614964864 17349960960 19518706080 23422447296 24655207680 26024941440 29278059120 31229929728 39037412160 46844894592 52049882880 58556118240 78074824320 93689789184 117112236480 156149648640 234224472960 468448945920
• Sum of all divisors σ(n): 1827065210880
• Sum of proper divisors (its aliquot sum) s(n): 1358616264960
• 468448945920 is an abundant number, because the sum of its proper divisors (1358616264960) is greater than itself. Its abundance is 890167319040

Bases of 468448945920

• Binary: 110110100010001101110111010011100000000₂
• Hexadecimal: 0x6D11BBA700
• Base-36: 5Z7AEO00

Squares and roots of 468448945920

• 468448945920 squared (468448945920²) is 219444414933559084646400
• 468448945920 cubed (468448945920³) is 102798504863656860036646135922688000
• The square root of 468448945920 is 684433.3027549141
• The cube root of 468448945920 is 7766.4178953599

Scales and comparisons

• 468,448,945,920 seconds is equal to 14,895 years, 11 weeks, 5 days, 19 hours, 12 minutes.
• To count from 1 to 468,448,945,920 would take you about twenty-nine thousand, seven hundred ninety 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 468448945920 cubic inches would be around 647.2 feet tall.

Recreational maths with 468448945920

• 468448945920 backwards is 029549844864
• The number of decimal digits it has is: 12
• The sum of 468448945920's digits is 63
• More coming soon!