468461283840

Names of 468461283840

• Cardinal: 468461283840 can be written as Four hundred sixty-eight billion, four hundred sixty-one million, two hundred eighty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 4.6846128384 × 10¹¹

Factors of 468461283840

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 80

Divisors of 468461283840

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 59 60 64 66 72 80 81 88 90 96 99 108 110 118 120 128 132 135 144 160 162 165 176 177 180 192 198 216 220 236 240 256 264 270 288 295 297 320 324 330 352 354 360 384 396 405 432 440 472 480 495 512 528 531 540 576 590 594 640 648 649 660 704 708 720 768 792 810 864 880 885 891 944 960 990 1056 1062 1080 1152 1180 1188 1280 1296 1298 1320 1408 1416 1440 1485 1536 1584 1593 1620 1728 1760 1770 1782 1888 1920 1947 1980 2112 2124 2160 2304 2360 2376 2560 2592 2596 2640 2655 2816 2832 2880 2970 3168 3186 3240 3245 3456 3481 3520 3540 3564 3776 3840 3894 3960 4224 4248 4320 4455 4608 4720 4752 4779 5184 5192 5280 5310 5632 5664 5760 5841 5940 6336 6372 6480 6490 6912 6962 7040 7080 7128 7552 7680 7788 7920 7965 8448 8496 8640 8910 9440 9504 9558 9735 10368 10384 10443 10560 10620 11328 11520 11682 11880 12672 12744 12960 12980 13824 13924 14080 14160 14256 15104 15576 15840 15930 16896 16992 17280 17405 17523 17820 18880 19008 19116 19470 20736 20768 20886 21120 21240 22656 23040 23364 23760 23895 25344 25488 25920 25960 27848 28160 28320 28512 29205 30208 31152 31329 31680 31860 33984 34560 34810 35046 35640 37760 38016 38232 38291 38940 41472 41536 41772 42240 42480 45312 46728 47520 47790 50688 50976 51840 51920 52215 52569 55696 56640 57024 58410 62304 62658 63360 63720 67968 69120 69620 70092 71280 75520 76032 76464 76582 77880 83072 83544 84480 84960 87615 90624 93456 93987 95040 95580 101952 103680 103840 104430 105138 111392 113280 114048 114873 116820 124608 125316 126720 127440 135936 139240 140184 142560 151040 152064 152928 153164 155760 156645 166144 167088 169920 175230 186912 187974 190080 191160 191455 203904 205379 207360 207680 208860 210276 222784 226560 228096 229746 233640 249216 250632 253440 254880 262845 271872 278480 280368 281961 285120 305856 306328 311520 313290 332288 334176 339840 344619 350460 373824 375948 380160 382320 382910 407808 410758 415360 417720 420552 445568 453120 456192 459492 467280 469935 498432 501264 509760 525690 556960 560736 563922 570240 574365 611712 612656 616137 623040 626580 668352 679680 689238 700920 747648 751896 760320 764640 765820 815616 821516 830720 835440 841104 891136 918984 934560 939870 996864 1002528 1019520 1026895 1033857 1051380 1113920 1121472 1127844 1140480 1148730 1223424 1225312 1232274 1246080 1253160 1336704 1359360 1378476 1401840 1409805 1495296 1503792 1529280 1531640 1643032 1661440 1670880 1682208 1723095 1782272 1837968 1848411 1869120 1879740 2005056 2039040 2053790 2067714 2102760 2227840 2242944 2255688 2259169 2280960 2297460 2446848 2450624 2464548 2492160 2506320 2673408 2756952 2803680 2819610 2990592 3007584 3058560 3063280 3080685 3101571 3286064 3341760 3364416 3446190 3675936 3696822 3738240 3759480 4010112 4078080 4107580 4135428 4205520 4455680 4485888 4511376 4518338 4594920 4901248 4929096 4984320 5012640 5169285 5346816 5513904 5545233 5607360 5639220 6015168 6117120 6126560 6161370 6203142 6572128 6683520 6728832 6777507 6892380 7351872 7393644 7476480 7518960 8020224 8215160 8270856 8411040 8911360 8971776 9022752 9036676 9189840 9242055 9802496 9858192 10025280 10338570 11027808 11090466 11214720 11278440 11295845 12030336 12234240 12253120 12322740 12406284 13144256 13367040 13457664 13555014 13784760 14703744 14787288 14952960 15037920 15507855 16040448 16430320 16541712 16635699 16822080 18045504 18073352 18379680 18484110 19604992 19716384 20050560 20332521 20677140 22055616 22180932 22429440 22556880 22591690 24060672 24506240 24645480 24812568 26288512 26734080 26915328 27110028 27569520 27726165 29407488 29574576 30075840 31015710 32860640 33083424 33271398 33644160 33887535 36091008 36146704 36759360 36968220 39432768 40101120 40665042 41354280 44111232 44361864 44858880 45113760 45183380 48121344 49012480 49290960 49625136 52577024 54220056 55139040 55452330 58814976 59149152 60151680 60997563 62031420 65721280 66166848 66542796 67288320 67775070 72182016 72293408 73518720 73936440 78865536 80202240 81330084 82708560 83178495 88222464 88723728 90227520 90366760 98024960 98581920 99250272 101662605 105154048 108440112 110278080 110904660 118298304 120303360 121995126 124062840 131442560 132333696 133085592 134576640 135550140 144364032 144586816 147037440 147872880 157731072 162660168 165417120 166356990 176444928 177447456 180455040 180733520 182992689 197163840 198500544 203325210 216880224 220556160 221809320 236596608 240606720 243990252 248125680 262885120 264667392 266171184 271100280 289173632 294074880 295745760 304987815 315462144 325320336 330834240 332713980 354894912 360910080 361467040 365985378 394327680 397001088 406650420 433760448 441112320 443618640 473193216 487980504 496251360 525770240 529334784 532342368 542200560 578347264 591491520 609975630 650640672 661668480 665427960 709789824 721820160 722934080 731970756 788655360 794002176 813300840 867520896 882224640 887237280 914963445 946386432 975961008 992502720 1064684736 1084401120 1156694528 1182983040 1219951260 1301281344 1323336960 1330855920 1419579648 1445868160 1463941512 1577310720 1588004352 1626601680 1735041792 1774474560 1829926890 1951922016 1985005440 2129369472 2168802240 2365966080 2439902520 2602562688 2646673920 2661711840 2839159296 2891736320 2927883024 3253203360 3470083584 3548949120 3659853780 3903844032 3970010880 4258738944 4337604480 4731932160 4879805040 5205125376 5323423680 5783472640 5855766048 6506406720 7097898240 7319707560 7807688064 7940021760 8517477888 8675208960 9759610080 10410250752 10646847360 11711532096 13012813440 14195796480 14639415120 15615376128 17350417920 19519220160 21293694720 23423064192 26025626880 29278830240 31230752256 39038440320 42587389440 46846128384 52051253760 58557660480 78076880640 93692256768 117115320960 156153761280 234230641920 468461283840
• Sum of all divisors σ(n): 1861973593920
• Sum of proper divisors (its aliquot sum) s(n): 1393512310080
• 468461283840 is an abundant number, because the sum of its proper divisors (1393512310080) is greater than itself. Its abundance is 925051026240

Bases of 468461283840

• Binary: 110110100010010011101111110101000000000₂
• Hexadecimal: 0x6D1277EA00
• Base-36: 5Z7HR400

Squares and roots of 468461283840

• 468461283840 squared (468461283840²) is 219455974457021045145600
• 468461283840 cubed (468461283840³) is 102806627540494325710806375727104000
• The square root of 468461283840 is 684442.3159331983
• The cube root of 468461283840 is 7766.4860782445

Scales and comparisons

• 468,461,283,840 seconds is equal to 14,895 years, 32 weeks, 1 day, 14 hours, 24 minutes.
• To count from 1 to 468,461,283,840 would take you about twenty-nine thousand, seven hundred ninety-one 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 468461283840 cubic inches would be around 647.2 feet tall.

Recreational maths with 468461283840

• 468461283840 backwards is 048382164864
• 468461283840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468461283840's digits is 54
• More coming soon!