668316815712

Names of 668316815712

• Cardinal: 668316815712 can be written as Six hundred sixty-eight billion, three hundred sixteen million, eight hundred fifteen thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 6.68316815712 × 10¹¹

Factors of 668316815712

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 932

Divisors of 668316815712

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 72 76 78 79 84 91 96 98 104 108 112 114 117 126 133 144 147 152 156 158 168 171 182 189 196 208 216 224 228 234 237 247 252 266 273 288 294 304 312 316 336 342 351 364 378 392 399 416 432 441 456 468 474 494 504 513 532 546 553 588 608 624 632 637 672 684 702 711 728 741 756 784 798 809 819 864 882 912 931 936 948 988 1008 1026 1027 1064 1092 1106 1176 1197 1248 1264 1274 1323 1368 1404 1422 1456 1482 1501 1512 1568 1596 1618 1638 1659 1729 1764 1824 1862 1872 1896 1911 1976 2016 2052 2054 2128 2133 2184 2212 2223 2352 2394 2427 2457 2528 2548 2646 2736 2793 2808 2844 2912 2964 3002 3024 3081 3192 3236 3276 3318 3458 3528 3591 3724 3744 3792 3822 3871 3952 4104 4108 4256 4266 4368 4424 4446 4503 4704 4788 4854 4914 4977 5096 5187 5292 5472 5586 5616 5663 5688 5733 5928 6004 6048 6162 6384 6472 6552 6636 6669 6916 7056 7182 7189 7281 7448 7584 7644 7742 7904 8208 8216 8379 8532 8736 8848 8892 9006 9243 9576 9708 9828 9954 10192 10374 10507 10517 10584 11172 11232 11326 11376 11466 11613 11856 12008 12103 12324 12768 12944 13104 13272 13338 13509 13832 14112 14364 14378 14562 14896 14931 15288 15371 15484 15561 16416 16432 16758 16989 17064 17199 17696 17784 18012 18486 19152 19416 19513 19656 19908 20384 20748 21014 21034 21168 21567 21843 22344 22652 22752 22932 23226 23712 24016 24206 24648 25137 25888 26208 26544 26676 27018 27664 27729 28728 28756 29124 29792 29862 30576 30742 30968 31122 31521 31551 32864 33516 33978 34128 34398 34839 35568 36024 36309 36972 38304 38832 39026 39312 39641 39816 40527 41496 42028 42068 42336 43134 43686 44688 45304 45864 46113 46452 46683 48032 48412 49296 50274 50323 50967 53088 53352 54036 55328 55458 57456 57512 58248 58539 59724 61152 61484 61936 62244 63042 63102 63911 64701 67032 67956 68256 68796 69678 71136 72048 72618 73549 73619 73944 77664 78052 78624 79282 79632 81054 82992 84056 84136 86268 87372 89376 90608 91728 92226 92904 93366 94563 94653 96824 98592 100548 100646 101934 104517 106704 107597 108072 108927 110916 114912 115024 116496 117078 118923 119448 122968 123872 124488 126084 126204 127822 129402 134064 135912 136591 137592 138339 139356 144096 145236 147098 147238 147888 150969 152901 156104 158564 159264 162108 165984 168112 168272 172536 174744 175617 181216 183456 184452 185808 186732 189126 189306 191733 193648 194103 199823 201096 201292 203868 209034 213408 215194 216144 217854 220647 220857 221832 230048 232992 234156 237846 238896 245936 248976 252168 252408 255644 258804 268128 271824 273182 275184 276678 278712 283689 283959 290472 294196 294476 295776 301938 305802 312208 317128 322791 324216 326781 336224 336544 345072 349488 351234 356769 368904 371616 373464 378252 378612 383466 387296 388206 399646 402192 402584 407736 409773 415017 418068 430388 432288 435708 441294 441714 443664 447377 452907 468312 475692 477792 491872 497952 504336 504816 511288 515333 517608 526851 543648 546364 550368 553356 557424 567378 567918 575199 580944 588392 588952 599469 603876 611604 624416 634256 645582 648432 653562 661941 662571 690144 698976 702468 713538 737808 746928 753179 756504 757224 766932 776412 799292 804384 805168 815472 819546 830034 830843 836136 860776 871416 882588 883428 887328 894754 905814 936624 951384 956137 968373 1008672 1009632 1022576 1030666 1035216 1053702 1070307 1092728 1106712 1114848 1134756 1135836 1150398 1161888 1176784 1177904 1198938 1207752 1214309 1223208 1229319 1268512 1291164 1296864 1307124 1323882 1325142 1342131 1358721 1398761 1404936 1427076 1475616 1493856 1506358 1513008 1514448 1533864 1545999 1552824 1598584 1610336 1630944 1639092 1660068 1661686 1672272 1721552 1725597 1742832 1765176 1766856 1789508 1798407 1811628 1873248 1902768 1912274 1936746 1985823 1987713 2045152 2061332 2070432 2107404 2140614 2185456 2213424 2259537 2269512 2271672 2300796 2353568 2355808 2397876 2415504 2428618 2446416 2458638 2492529 2582328 2614248 2647764 2650284 2684262 2717442 2797522 2809872 2854152 2868411 2905119 3012716 3026016 3028896 3067728 3091998 3105648 3131639 3197168 3278184 3320136 3323372 3344544 3443104 3451194 3485664 3530352 3533712 3579016 3596814 3623256 3642927 3687957 3805536 3824548 3873492 3971646 3975426 4026393 4122664 4196283 4214808 4281228 4370912 4426848 4519074 4539024 4543344 4601592 4637997 4795752 4831008 4857236 4892832 4917276 4985058 5164656 5228496 5295528 5300568 5368524 5395221 5434884 5595044 5619744 5708304 5736822 5810238 5815901 6025432 6135456 6183996 6211296 6263278 6394336 6556368 6640272 6646744 6778611 6902388 7060704 7067424 7158032 7193628 7246512 7285854 7375914 7477587 7649096 7746984 7943292 7950852 8052786 8245328 8392566 8429616 8500163 8562456 8605233 9038148 9078048 9086688 9203184 9275994 9394917 9591504 9714472 9791327 9834552 9970116 10329312 10456992 10591056 10601136 10737048 10790442 10869768 10928781 11190088 11416608 11473644 11620476 11631802 12050864 12079179 12367992 12526556 12588849 13112736 13280544 13293488 13557222 13804776 13913991 14316064 14387256 14493024 14571708 14751828 14955174 15298192 15493968 15786017 15886584 15901704 16105572 16490656 16785132 16859232 17000326 17124912 17210466 17447703 18076296 18406368 18551988 18789834 19183008 19428944 19582654 19669104 19940232 20335833 21182112 21202272 21474096 21580884 21739536 21857562 22380176 22432761 22947288 23240952 23263604 24101728 24158358 24735984 25053112 25177698 25500489 25815699 26586976 27114444 27609552 27827982 28184751 28774512 29143416 29373981 29503656 29910348 30596384 30987936 31572034 31773168 31803408 32211144 32786343 33570264 34000652 34249824 34420932 34895406 36152592 37103976 37579668 37766547 38857888 39165308 39338208 39880464 40671666 40711307 42948192 43161768 43479072 43715124 44760352 44865522 45894576 46481904 46527208 47358051 48316716 49471968 50106224 50355396 51000978 51631398 52343109 54228888 55219104 55655964 56369502 57549024 58286832 58747962 59007312 59501141 59820696 63144068 63546336 63606816 64422288 65572686 67140528 68001304 68841864 69790812 72305184 74207952 75159336 75533094 76501467 78330616 79760928 81343332 81422614 84554253 86323536 87430248 88121943 89731044 91789152 92963808 93054416 94716102 96633432 100212448 100710792 102001956 103262796 104686218 108457776 110502119 111311928 112739004 116573664 117495924 118014624 119002282 119641392 122133921 126288136 128844576 131145372 134281056 136002608 137683728 139581624 142074153 148415904 150318672 151066188 153002934 156661232 157029327 162686664 162845228 169108506 172647072 174860496 176243886 178503423 179462088 186108832 189432204 193266864 201421584 204003912 206525592 209372436 216915552 221004238 222623856 225478008 229504401 234991848 238004564 239282784 244267842 252576272 262290744 264365829 272005216 275367456 279163248 284148306 300637344 302132376 306005868 313322464 314058654 325373328 325690456 331506357 338217012 349720992 352487772 357006846 358924176 366401763 378864408 386533728 402843168 408007824 413051184 418744872 426222459 442008476 445247712 450956016 459008802 469983696 476009128 488535684 505152544 524581488 528731658 535510269 558326496 568296612 604264752 612011736 628117308 650746656 651380912 663012714 676434024 704975544 714013692 717848352 732803526 757728816 773514833 816015648 826102368 837489744 852444918 884016952 901912032 918017604 939967392 952018256 977071368 994519071 1049162976 1057463316 1071020538 1099205289 1136593224 1208529504 1224023472 1256234616 1302761824 1326025428 1352868048 1409951088 1428027384 1465607052 1515457632 1547029666 1606530807 1674979488 1704889836 1768033904 1836035208 1904036512 1954142736 1989038142 2114926632 2142041076 2198410578 2273186448 2320544499 2448046944 2512469232 2652050856 2705736096 2819902176 2856054768 2931214104 2983557213 3094059332 3213061614 3409779672 3536067808 3672070416 3908285472 3978076284 4229853264 4284082152 4396821156 4546372896 4641088998 5024938464 5304101712 5712109536 5862428208 5967114426 6188118664 6426123228 6819559344 6961633497 7344140832 7956152568 8459706528 8568164304 8793642312 9282177996 10608203424 11724856416 11934228852 12376237328 12852246456 13639118688 13923266994 15912305136 17136328608 17587284624 18564355992 20884900491 23868457704 24752474656 25704492912 27846533988 31824610272 35174569248 37128711984 41769800982 47736915408 51408985824 55693067976 74257423968 83539601964 95473830816 111386135952 167079203928 222772271904 334158407856 668316815712
• Sum of all divisors σ(n): 2606204160000
• Sum of proper divisors (its aliquot sum) s(n): 1937887344288
• 668316815712 is an abundant number, because the sum of its proper divisors (1937887344288) is greater than itself. Its abundance is 1269570528576

Bases of 668316815712

• Binary: 1001101110011010110010010101000101100000₂
• Hexadecimal: 0x9B9AC95160
• Base-36: 8J0QKRC0

Squares and roots of 668316815712

• 668316815712 squared (668316815712²) is 446647366163427370066944
• 668316815712 cubed (668316815712³) is 298501945500493474155326638351024128
• The square root of 668316815712 is 817506.4621836331
• The cube root of 668316815712 is 8743.0063984955

Scales and comparisons

• 668,316,815,712 seconds is equal to 21,250 years, 21 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 668,316,815,712 would take you about forty-two thousand, five hundred 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 668316815712 cubic inches would be around 728.6 feet tall.

Recreational maths with 668316815712

• 668316815712 backwards is 217518613866
• 668316815712 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668316815712's digits is 54
• More coming soon!