468428945600

Names of 468428945600

• Cardinal: 468428945600 can be written as Four hundred sixty-eight billion, four hundred twenty-eight million, nine hundred forty-five thousand, six hundred.

Scientific notation

• Scientific notation: 4.684289456 × 10¹¹

Factors of 468428945600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 92

Divisors of 468428945600

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 67 70 77 80 88 98 100 110 112 121 134 140 154 160 175 176 196 200 220 224 242 245 268 275 280 308 320 335 350 352 385 392 400 440 448 469 484 490 536 539 550 560 605 616 670 700 704 737 770 784 800 847 880 938 968 980 1072 1078 1100 1120 1210 1225 1232 1331 1340 1400 1474 1540 1568 1600 1675 1694 1760 1876 1925 1936 1960 2144 2156 2200 2240 2345 2420 2450 2464 2662 2680 2695 2800 2948 3025 3080 3136 3283 3350 3388 3520 3685 3752 3850 3872 3920 4235 4288 4312 4400 4489 4690 4840 4900 4928 5159 5324 5360 5390 5600 5896 5929 6050 6160 6566 6655 6700 6776 7370 7504 7700 7744 7840 8107 8470 8624 8800 8978 9317 9380 9680 9800 10318 10648 10720 10780 11200 11725 11792 11858 12100 12320 13132 13310 13400 13475 13552 14740 15008 15400 15680 16214 16415 16940 17248 17600 17956 18425 18634 18760 19360 19600 20636 21175 21296 21440 21560 22445 23450 23584 23716 24200 24640 25795 26264 26620 26800 26950 27104 29480 29645 30016 30800 31423 32428 32830 33275 33880 34496 35912 36113 36850 37268 37520 38720 39200 40535 41272 42350 42592 43120 44890 46585 46900 47168 47432 48400 49379 51590 52528 53240 53600 53900 54208 56749 58960 59290 61600 62846 64856 65219 65660 66550 67760 71824 72226 73700 74536 75040 78400 81070 82075 82544 84700 85184 86240 89177 89780 93170 93800 94864 96800 98758 103180 105056 106480 107200 107800 112225 113498 117920 118580 123200 125692 128975 129712 130438 131320 133100 135520 143648 144452 147400 148225 149072 150080 157115 162140 164150 165088 169400 172480 178354 179560 180565 186340 187600 189728 193600 197516 202675 206360 210112 212960 215600 219961 224450 226996 232925 235840 237160 246895 251384 257950 259424 260876 262640 266200 271040 283745 287296 288904 294800 296450 298144 314230 324280 326095 328300 330176 338800 345653 356708 359120 361130 372680 375200 379456 395032 397243 405350 412720 425920 431200 439922 445885 448900 453992 465850 474320 493790 502768 515900 518848 521752 525280 532400 543169 567490 577808 589600 592900 596288 624239 628460 648560 652190 656600 677600 691306 713416 718240 722260 745360 750400 785575 790064 794486 810700 825440 862400 879844 891770 897800 902825 907984 931700 948640 987580 1005536 1031800 1043504 1050560 1064800 1086338 1099805 1134980 1155616 1179200 1185800 1234475 1248478 1256920 1297120 1304380 1313200 1355200 1382612 1418725 1426832 1436480 1444520 1490720 1571150 1580128 1588972 1621400 1630475 1650880 1728265 1759688 1783540 1795600 1805650 1815968 1863400 1897280 1975160 1986215 2011072 2063600 2087008 2129600 2172676 2199610 2229425 2269960 2311232 2371600 2419571 2468950 2496956 2513840 2594240 2608760 2626400 2715845 2765224 2837450 2853664 2889040 2981440 3121195 3142300 3160256 3177944 3242800 3260950 3456530 3519376 3567080 3591200 3611300 3631936 3726800 3802183 3950320 3972430 4127200 4174016 4345352 4369673 4399220 4458850 4539920 4743200 4839142 4937900 4993912 5027680 5217520 5252800 5431690 5499025 5530448 5674900 5707328 5778080 5974859 6242390 6284600 6355888 6485600 6521900 6913060 7038752 7134160 7182400 7222600 7453600 7604366 7900640 7944860 8254400 8641325 8690704 8739346 8798440 8917700 9079840 9486400 9678284 9875800 9931075 9987824 10055360 10435040 10863380 10998050 11060896 11349800 11556160 11949718 12097855 12484780 12569200 12711776 12971200 13043800 13579225 13826120 14077504 14268320 14445200 14907200 15208732 15605975 15801280 15889720 17282650 17381408 17478692 17596880 17835400 18159680 19010915 19356568 19751600 19862150 19975648 20870080 21726760 21848365 21996100 22121792 22699600 23899436 24195710 24969560 25138400 25423552 26087600 26615281 27158450 27652240 28536640 28890400 29874295 30417464 31211950 31779440 34565300 34762816 34957384 35193760 35670800 38021830 38713136 39503200 39724300 39951296 41824013 43453520 43696730 43992200 45399200 47798872 48391420 49939120 50276800 52175200 53230562 54316900 55304480 57780800 59748590 60489275 60834928 62423900 63558880 69130600 69914768 70387520 71341600 76043660 77426272 79006400 79448600 83648026 86907040 87393460 87984400 90798400 95054575 95597744 96782840 99878240 104350400 106461124 108633800 109241825 110608960 119497180 120978550 121669856 124847800 127117760 133076405 138261200 139829536 142683200 149371475 152087320 154852544 158897200 167296052 173814080 174786920 175968800 190109150 191195488 193565680 199756480 209120065 212922248 217267600 218483650 238994360 241957100 243339712 249695600 266152810 276522400 279659072 292768091 298742950 304174640 317794400 334592104 349573840 351937600 380218300 382390976 387131360 418240130 425844496 434535200 436967300 477988720 483914200 499391200 532305620 553044800 585536182 597485900 608349280 635588800 665382025 669184208 699147680 760436600 774262720 836480260 851688992 869070400 873934600 955977440 967828400 998782400 1045600325 1064611240 1171072364 1194971800 1216698560 1330764050 1338368416 1398295360 1463840455 1520873200 1672960520 1703377984 1747869200 1911954880 1935656800 2091200650 2129222480 2342144728 2389943600 2661528100 2676736832 2927680910 3041746400 3345921040 3495738400 3871313600 4182401300 4258444960 4684289456 4779887200 5323056200 5855361820 6083492800 6691842080 6991476800 7319202275 8364802600 8516889920 9368578912 9559774400 10646112400 11710723640 13383684160 14638404550 16729605200 18737157824 21292224800 23421447280 29276809100 33459210400 42584449600 46842894560 58553618200 66918420800 93685789120 117107236400 234214472800 468428945600
• Sum of all divisors σ(n): 1497132974232
• Sum of proper divisors (its aliquot sum) s(n): 1028704028632
• 468428945600 is an abundant number, because the sum of its proper divisors (1028704028632) is greater than itself. Its abundance is 560275083032

Bases of 468428945600

• Binary: 110110100010000100010100111100011000000₂
• Hexadecimal: 0x6D108A78C0
• Base-36: 5Z6YHZNK

Squares and roots of 468428945600

• 468428945600 squared (468428945600²) is 219425677075927759360000
• 468428945600 cubed (468428945600³) is 102785338550242931458775330816000000
• The square root of 468428945600 is 684418.6917377403
• The cube root of 468428945600 is 7766.3073653115

Scales and comparisons

• 468,428,945,600 seconds is equal to 14,894 years, 30 weeks, 5 days, 7 hours, 33 minutes, 20 seconds.
• To count from 1 to 468,428,945,600 would take you about twenty-nine thousand, seven hundred eighty-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 468428945600 cubic inches would be around 647.2 feet tall.

Recreational maths with 468428945600

• 468428945600 backwards is 006549824864
• 468428945600 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468428945600's digits is 56
• More coming soon!