468424421920

Names of 468424421920

• Cardinal: 468424421920 can be written as Four hundred sixty-eight billion, four hundred twenty-four million, four hundred twenty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.6842442192 × 10¹¹

Factors of 468424421920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5198

Divisors of 468424421920

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 49 52 53 56 65 68 70 80 85 91 98 104 106 112 119 130 136 140 160 170 182 196 208 212 221 224 238 245 260 265 272 280 340 364 371 392 416 424 442 455 476 490 520 530 544 560 595 637 680 689 728 742 784 833 848 884 901 910 952 980 1040 1060 1105 1120 1190 1274 1360 1378 1456 1484 1547 1568 1666 1696 1768 1802 1820 1855 1904 1960 2080 2120 2210 2380 2548 2597 2720 2756 2912 2968 3094 3185 3332 3445 3536 3604 3640 3710 3808 3920 4165 4240 4420 4505 4760 4823 5096 5101 5194 5512 5936 6188 6307 6370 6664 6890 7072 7208 7280 7420 7735 7840 8330 8480 8840 9010 9520 9646 10192 10202 10388 10829 11024 11713 11872 12376 12614 12740 12985 13328 13780 14416 14560 14840 15470 16660 17680 18020 19040 19292 20384 20404 20776 21658 22048 23426 24115 24752 25228 25480 25505 25970 26656 27560 28832 29680 30940 31535 33320 33761 35360 35707 36040 38584 40808 41552 43316 44149 46852 48230 49504 50456 50960 51010 51940 54145 55120 58565 59360 61880 63070 66313 66640 67522 71414 72080 77168 81616 81991 83104 86632 86717 88298 93704 96460 100912 101920 102020 103880 108290 110240 117130 123760 126140 132626 133280 135044 142828 144160 154336 163232 163982 168805 173264 173434 176596 178535 187408 192920 201824 204040 207760 216580 220745 234260 247520 249949 252280 265252 270088 270353 285656 327964 331565 337610 346528 346868 353192 357070 374816 385840 408080 409955 415520 433160 433585 441490 464191 468520 499898 504560 530504 540176 540706 571312 573937 607019 655928 663130 675220 693736 706384 714140 771680 816160 819910 866320 867170 882980 928382 937040 999796 1009120 1061008 1080352 1081412 1127321 1142624 1147874 1214038 1249745 1311856 1326260 1350440 1351765 1387472 1412768 1428280 1639820 1732640 1734340 1765960 1856764 1874080 1892471 1999592 2122016 2162824 2254642 2295748 2320955 2428076 2499490 2623712 2652520 2700880 2703530 2774944 2856560 2869685 3035095 3249337 3279640 3468680 3514589 3531920 3713528 3784942 3999184 4249133 4325648 4509284 4591496 4596001 4641910 4856152 4998980 5305040 5401760 5407060 5636605 5713120 5739370 6070190 6498674 6559280 6937360 7029178 7063840 7427056 7569884 7891247 7998368 8498266 8651296 9018568 9182992 9192002 9283820 9462355 9712304 9997960 10610080 10814120 11273210 11478740 12140380 12997348 13118560 13247297 13874720 14058356 14854112 15139768 15782494 16246685 16996532 17572945 18037136 18365984 18384004 18567640 18924710 19424608 19995920 21245665 21628240 22546420 22957480 22980005 24280760 24602123 25994696 26494594 28116712 30279536 31564988 32172007 32493370 33993064 35145890 36074272 36768008 37135280 37849420 39456235 39991840 42491330 43256480 45092840 45914960 45960010 48561520 49204246 51989392 52989188 55238729 56233424 59748013 60559072 63129976 64344014 64986740 66236485 67986128 70291780 73536016 74270560 75698840 78912470 84982660 90185680 91829920 91920020 97123040 98408492 103978784 105978376 110477458 112466848 119496026 123010615 126259952 128688028 129973480 132472970 135972256 140583560 147072032 151397680 157824940 160860035 169965320 172214861 180371360 183840040 196816984 211956752 220954916 225204049 238992052 246021230 252519904 257376056 259946960 264945940 276193645 281167120 298740065 302795360 315649880 321720070 339930640 344429722 367680080 393633968 418236091 423913504 441909832 450408098 477984104 492042460 514752112 519893920 529891880 552387290 562334240 597480130 631299760 643440140 679861280 688859444 735360160 787267936 836472182 861074305 883819664 900816196 955968208 984084920 1029504224 1059783760 1104774580 1126020245 1194960260 1262599520 1286880280 1377718888 1672944364 1722148610 1767639328 1801632392 1911936416 1968169840 2091180455 2119567520 2209549160 2252040490 2389920520 2573760560 2755437776 2927652637 3345888728 3444297220 3603264784 3936339680 4182360910 4419098320 4504080980 4779841040 5147521120 5510875552 5855305274 6691777456 6888594440 7206529568 8364721820 8838196640 9008161960 9559682080 11710610548 13383554912 13777188880 14638263185 16729443640 18016323920 23421221096 27554377760 29276526370 33458887280 36032647840 46842442192 58553052740 66917774560 93684884384 117106105480 234212210960 468424421920
• Sum of all divisors σ(n): 1495896032736
• Sum of proper divisors (its aliquot sum) s(n): 1027471610816
• 468424421920 is an abundant number, because the sum of its proper divisors (1027471610816) is greater than itself. Its abundance is 559047188896

Bases of 468424421920

• Binary: 110110100010000010001010111001000100000₂
• Hexadecimal: 0x6D10457220
• Base-36: 5Z6VT15S

Squares and roots of 468424421920

• 468424421920 squared (468424421920²) is 219421439051086176486400
• 468424421920 cubed (468424421920³) is 102782360744359555568745016741888000
• The square root of 468424421920 is 684415.3869690541
• The cube root of 468424421920 is 7766.2823651469

Scales and comparisons

• 468,424,421,920 seconds is equal to 14,894 years, 23 weeks, 1 day, 22 hours, 58 minutes, 40 seconds.
• To count from 1 to 468,424,421,920 would take you about twenty-nine thousand, seven hundred eighty-eight 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 468424421920 cubic inches would be around 647.2 feet tall.

Recreational maths with 468424421920

• 468424421920 backwards is 029124424864
• The number of decimal digits it has is: 12
• The sum of 468424421920's digits is 46
• More coming soon!