468986826672

Names of 468986826672

• Cardinal: 468986826672 can be written as Four hundred sixty-eight billion, nine hundred eighty-six million, eight hundred twenty-six thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.68986826672 × 10¹¹

Factors of 468986826672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1446

Divisors of 468986826672

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 36 39 42 48 49 52 56 62 63 72 78 84 91 93 98 104 112 117 124 126 131 144 147 156 168 182 186 196 208 217 234 248 252 262 273 279 294 312 336 364 372 392 393 403 434 441 468 496 504 524 546 558 588 624 637 651 728 744 784 786 806 819 868 882 917 936 1008 1048 1092 1116 1176 1179 1209 1259 1274 1302 1456 1488 1519 1572 1612 1638 1703 1736 1764 1834 1872 1911 1953 2096 2184 2232 2352 2358 2418 2518 2548 2604 2751 2821 3038 3144 3224 3276 3406 3472 3528 3627 3668 3777 3822 3906 4061 4368 4464 4557 4716 4836 5036 5096 5109 5208 5502 5642 5733 6076 6288 6419 6448 6552 6812 7056 7254 7336 7554 7644 7812 8122 8253 8463 8813 9114 9432 9672 10072 10192 10218 10416 11004 11284 11331 11466 11921 12152 12183 12838 13104 13624 13671 14508 14672 15108 15288 15327 15624 16244 16367 16506 16926 17626 18228 18864 19257 19344 19747 20144 20436 22008 22568 22662 22932 23842 24304 24366 25389 25676 26439 27248 27342 28427 29016 30216 30576 30654 31248 32488 32734 33012 33852 35252 35763 36456 36549 38514 39029 39494 40872 44016 45136 45324 45864 47684 48732 49101 50778 51352 52793 52878 54684 56854 57771 58032 59241 60432 61308 61691 64976 65468 66024 67704 70504 71526 72912 73098 77028 78058 78988 79317 81744 83447 85281 90648 91728 95368 97464 98202 101556 102704 105586 105756 107289 109368 113708 114569 115542 117087 118482 122616 123382 130936 132048 135408 141008 143052 146196 147303 154056 156116 157976 158379 158634 164929 166894 170562 177723 181296 185073 190736 194928 196404 198989 203112 211172 211512 214578 218736 227416 229138 231084 234174 236964 245232 246764 250341 255843 261872 273203 286104 292392 294606 308112 312232 315952 316758 317268 329858 333788 341124 343707 351261 355446 369551 370146 392808 397978 406224 422344 423024 429156 454832 458276 462168 468348 473928 475137 493528 494787 500682 507377 511686 546406 555219 572208 584784 589212 596967 624464 633516 634536 659716 667576 682248 687414 702522 710892 739102 740292 751023 785616 795956 801983 819609 844688 858312 916552 924336 936696 947856 950274 987056 989574 1001364 1014754 1023372 1031121 1092812 1108653 1110438 1154503 1178424 1193934 1267032 1269072 1319432 1335152 1364496 1374828 1405044 1421784 1478204 1480584 1484361 1502046 1522131 1591912 1603966 1639218 1716624 1790901 1833104 1873392 1900548 1912421 1979148 2002728 2029508 2046744 2062242 2144077 2185624 2217306 2220876 2309006 2356848 2387868 2405949 2458827 2534064 2586857 2638864 2749656 2810088 2843568 2956408 2961168 2968722 3004092 3044262 3183824 3207932 3278436 3325959 3463509 3551639 3581802 3801096 3824842 3958296 4005456 4059016 4093488 4124484 4288154 4371248 4434612 4441752 4566393 4618012 4775736 4811898 4917654 5112799 5173714 5499312 5620176 5737263 5912816 5937444 6008184 6088524 6415864 6432231 6556872 6651918 6927018 7103278 7163604 7217847 7602192 7649684 7760571 7916592 8081521 8118032 8248968 8576308 8869224 8883504 9132786 9236024 9551472 9623796 9835308 10225598 10347428 10390527 10654917 11474526 11874888 12016368 12177048 12831728 12864462 13113744 13303836 13854036 14206556 14327208 14435694 15008539 15299368 15338397 15521142 16163042 16497936 17152616 17211789 17738448 18265572 18472048 19247592 19296693 19670616 20451196 20694856 20781054 21309834 22949052 23281713 23749776 24244563 24354096 24861473 25728924 26607672 27708072 28413112 28654416 28871388 30017078 30598736 30676794 31042284 31964751 32326084 34305232 34423578 35789593 36531144 38495184 38593386 39341232 40902392 41389712 41562108 42619668 45025617 45898104 46015191 46563426 48489126 49722946 51457848 53215344 55416144 56826224 57742776 60034156 61353588 62084568 63929502 64652168 66466387 68847156 71579186 72733689 73062288 74584419 77186772 81804784 83124216 85239336 90051234 91796208 92030382 93126852 96978252 99445892 102915696 105059773 107368779 115485552 120068312 122707176 124169136 127859004 129304336 132932774 135076851 137694312 143158372 145467378 149168838 154373544 166248432 170478672 180102468 184060764 186253704 193956504 198891784 199399161 210119546 214737558 223753257 240136624 245414352 250527151 255718008 265865548 270153702 275388624 286316744 290934756 298337676 308747088 315179319 322106337 360204936 368121528 372507408 387913008 397783568 398798322 420239092 429475116 447506514 465264709 501054302 511436016 531731096 540307404 572633488 581869512 596675352 598197483 630358638 644212674 720409872 736243056 751581453 797596644 840478184 858950232 895013028 930529418 945537957 1002108604 1063462192 1080614808 1163739024 1193350704 1196394966 1260717276 1288425348 1395794127 1503162906 1595193288 1680956368 1717900464 1790026056 1861058836 1891075914 2004217208 2161229616 2254744359 2392789932 2521434552 2576850696 2791588254 3006325812 3190386576 3256852963 3580052112 3722117672 3782151828 4008434416 4187382381 4509488718 4785579864 5042869104 5153701392 5583176508 6012651624 6513705926 7444235344 7564303656 8374764762 9018977436 9571159728 9770558889 11166353016 12025303248 13027411852 15128607312 16749529524 18037954872 19541117778 22332706032 26054823704 29311676667 33499059048 36075909744 39082235556 52109647408 58623353334 66998118096 78164471112 117246706668 156328942224 234493413336 468986826672
• Sum of all divisors σ(n): 1711600450560
• Sum of proper divisors (its aliquot sum) s(n): 1242613623888
• 468986826672 is an abundant number, because the sum of its proper divisors (1242613623888) is greater than itself. Its abundance is 773626797216

Bases of 468986826672

• Binary: 110110100110001110010110000111110110000₂
• Hexadecimal: 0x6D31CB0FB0
• Base-36: 5ZG6NBG0

Squares and roots of 468986826672

• 468986826672 squared (468986826672²) is 219948643591872570595584
• 468986826672 cubed (468986826672³) is 103153016388963044773822237216616448
• The square root of 468986826672 is 684826.1287889065
• The cube root of 468986826672 is 7769.3892677991

Scales and comparisons

• 468,986,826,672 seconds is equal to 14,912 years, 17 weeks, 1 day, 6 hours, 31 minutes, 12 seconds.
• To count from 1 to 468,986,826,672 would take you about twenty-nine thousand, eight hundred twenty-four 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 468986826672 cubic inches would be around 647.4 feet tall.

Recreational maths with 468986826672

• 468986826672 backwards is 276628689864
• 468986826672 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468986826672's digits is 72
• More coming soon!