668838794400

Names of 668838794400

• Cardinal: 668838794400 can be written as Six hundred sixty-eight billion, eight hundred thirty-eight million, seven hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 6.688387944 × 10¹¹

Factors of 668838794400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 776

Divisors of 668838794400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 61 63 70 72 75 80 84 90 96 100 105 108 112 120 122 126 127 135 140 144 150 160 168 175 180 183 189 200 210 216 224 225 240 244 252 254 270 280 288 300 305 315 336 350 360 366 378 381 400 420 427 432 450 480 488 504 508 525 540 549 560 571 600 610 630 635 672 675 700 720 732 756 762 800 840 854 864 889 900 915 945 976 1008 1016 1050 1080 1098 1120 1142 1143 1200 1220 1260 1270 1281 1350 1400 1440 1464 1512 1524 1525 1575 1647 1680 1708 1713 1778 1800 1830 1890 1905 1952 2016 2032 2100 2135 2160 2196 2284 2286 2400 2440 2520 2540 2562 2667 2700 2745 2800 2855 2928 3024 3048 3050 3150 3175 3294 3360 3416 3426 3429 3556 3600 3660 3780 3810 3843 3997 4064 4200 4270 4320 4392 4445 4568 4572 4575 4725 4880 5040 5080 5124 5139 5334 5400 5490 5600 5710 5715 5856 6048 6096 6100 6300 6350 6405 6588 6832 6852 6858 7112 7200 7320 7560 7620 7686 7747 7994 8001 8235 8400 8540 8565 8784 8890 9136 9144 9150 9450 9525 9760 10080 10160 10248 10278 10668 10675 10800 10980 11420 11430 11529 11991 12192 12200 12600 12700 12810 13176 13335 13664 13704 13716 13725 14224 14275 14640 15120 15240 15372 15417 15494 15988 16002 16470 16800 17080 17130 17145 17568 17780 18272 18288 18300 18900 19050 19215 19985 20320 20496 20556 21336 21350 21600 21960 22225 22840 22860 23058 23241 23982 24003 24400 25200 25400 25620 25695 26352 26670 27408 27432 27450 28448 28550 28575 29280 30240 30480 30744 30834 30988 31976 32004 32025 32940 34160 34260 34290 34831 35560 35973 36576 36600 37800 38100 38430 38735 39970 40005 40992 41112 41175 42672 42700 42825 43920 44450 45680 45720 46116 46482 47964 48006 48800 50400 50800 51240 51390 52704 53340 54229 54816 54864 54900 57100 57150 57645 59955 60960 61488 61668 61976 63952 64008 64050 65880 66675 68320 68520 68580 69662 69723 71120 71946 72517 73200 75600 76200 76860 77085 77470 79940 80010 82224 82350 85344 85400 85650 85725 87840 88900 91360 91440 92232 92964 95928 96012 96075 99925 101600 102480 102780 104493 106680 107919 108458 109728 109800 114200 114300 115290 116205 119910 120015 122976 123336 123952 127904 128016 128100 128475 131760 133350 137040 137160 139324 139446 142240 143892 145034 146400 151200 152400 153720 154170 154940 159880 160020 162687 164448 164700 170800 171300 171450 174155 177800 179865 182880 184464 185928 191856 192024 192150 193675 199850 200025 204960 205560 208986 209169 213360 215838 216916 217551 219600 228400 228600 230580 232410 239820 240030 243817 246672 247904 256032 256200 256950 263520 266700 271145 274080 274320 278648 278892 287784 288225 290068 299775 304800 307440 308340 309880 313479 319760 320040 325374 329400 341600 342600 342900 348310 348615 355600 359730 362585 368928 371856 383712 384048 384300 385425 387350 399700 400050 411120 417972 418338 426720 431676 433832 435102 439200 456800 457200 461160 464820 479640 480060 487634 488061 493344 507619 512400 513900 522465 533400 539595 542290 548640 557296 557784 575568 576450 580136 581025 599550 600075 614880 616680 619760 626958 639520 640080 650748 652653 658800 685200 685800 696620 697230 711200 719460 725170 731451 743712 768096 768600 770850 774700 799400 800100 813435 822240 835944 836676 863352 867664 870204 870775 899325 914400 922320 929640 940437 959280 960120 975268 976122 1015238 1024800 1027800 1044930 1045845 1066800 1079190 1084580 1087755 1114592 1115568 1151136 1152900 1160272 1162050 1199100 1200150 1219085 1233360 1239520 1253916 1280160 1301496 1305306 1317600 1355725 1370400 1371600 1393240 1394460 1438920 1450340 1462902 1464183 1522857 1537200 1541700 1549400 1567395 1598800 1600200 1626870 1671888 1673352 1726704 1735328 1740408 1741550 1743075 1798650 1812925 1844640 1859280 1880874 1918560 1920240 1950536 1952244 1957959 2030476 2055600 2089860 2091690 2133600 2158380 2169160 2175510 2194353 2231136 2305800 2320544 2324100 2398200 2400300 2438170 2440305 2466720 2507832 2538095 2602992 2610612 2612325 2697975 2711450 2743200 2786480 2788920 2877840 2900680 2925804 2928366 3045714 3074400 3083400 3098800 3134790 3197600 3200400 3253740 3263265 3343776 3346704 3453408 3480816 3483100 3486150 3597300 3625850 3657255 3718560 3761748 3840480 3901072 3904488 3915918 4060952 4067175 4111200 4179720 4183380 4316760 4338320 4351020 4388706 4423537 4568571 4611600 4648200 4702185 4796400 4800600 4876340 4880610 5015664 5076190 5205984 5221224 5224650 5229225 5395950 5422900 5438775 5572960 5577840 5755680 5801360 5851608 5856732 6091428 6095425 6166800 6197600 6269580 6400800 6507480 6526530 6583059 6693408 6961632 6966200 6972300 7194600 7251700 7314510 7320915 7523496 7614285 7802144 7808976 7831836 7836975 8121904 8134350 8359440 8366760 8633520 8676640 8702040 8777412 8847074 9137142 9223200 9296400 9404370 9592800 9601200 9752680 9761220 9789795 10031328 10152380 10442448 10449300 10458450 10791900 10845800 10877550 10971765 11155680 11602720 11703216 11713464 12182856 12190850 12201525 12333600 12539160 12690475 13014960 13053060 13166118 13270611 13705713 13932400 13944600 14389200 14503400 14629020 14641830 15046992 15228570 15617952 15663672 15673950 16243808 16268700 16316325 16718880 16733520 17267040 17404080 17554824 17694148 18274284 18286275 18592800 18808740 19202400 19505360 19522440 19579590 20304760 20884896 20898600 20916900 21583800 21691600 21755100 21943530 22117685 22842855 23406432 23426928 23510925 24365712 24381700 24403050 25078320 25380950 26029920 26106120 26332236 26541222 27411426 27864800 27889200 28778400 29006800 29258040 29283660 30093984 30457140 30964759 31327344 31347900 32537400 32632650 32915295 33467040 34808160 35109648 35388296 36548568 36572550 36604575 37617480 38071425 39010720 39044880 39159180 39811833 40609520 41797200 41833800 43167600 43383200 43510200 43887060 44235370 45685710 46853856 47021850 48731424 48763400 48806100 48948975 50156640 50761900 52212240 52664472 53082444 54822852 54858825 55778400 58013600 58516080 58567320 60914280 61929518 62654688 62695800 65074800 65265300 65830590 66353055 68528565 70219296 70776592 73097136 73145100 73209150 75234960 76142850 78089760 78318360 79623666 81219040 83594400 83667600 86335200 87020400 87774120 88470740 91371420 92894277 94043700 97526800 97612200 97897950 101523800 104424480 105328944 106164888 109645704 109717650 110588425 114214275 117032160 117134640 119435499 121828560 123859036 125391600 130149600 130530600 131661180 132706110 137057130 141553184 146194272 146290200 146418300 150469920 152285700 154823795 156636720 159247332 164576475 167335200 174040800 175548240 176941480 182742840 185788554 188087400 195053600 195224400 195795900 199059165 203047600 210657888 212329776 219291408 219435300 221176850 228428550 234269280 238870998 243657120 247718072 250783200 261061200 263322360 265412220 274114260 278682831 292580400 292836600 304571400 309647590 313273440 318494664 329152950 331765275 342642825 351096480 353882960 365485680 371577108 376174800 390448800 391591800 398118330 406095200 424659552 438582816 438870600 442353700 456857100 464471385 477741996 495436144 522122400 526644720 530824440 548228520 557365662 585160800 585673200 597177495 609142800 619295180 636989328 658305900 663530550 685285650 707765920 730971360 743154216 752349600 774118975 783183600 796236660 836048493 877741200 884707400 913714200 928942770 955483992 990872288 995295825 1053289440 1061648880 1096457040 1114731324 1171346400 1194354990 1218285600 1238590360 1273978656 1316611800 1327061100 1370571300 1393414155 1486308432 1548237950 1566367200 1592473320 1672096986 1755482400 1769414800 1827428400 1857885540 1910967984 1990591650 2123297760 2192914080 2229462648 2322356925 2388709980 2477180720 2633223600 2654122200 2741142600 2786828310 2972616864 2985887475 3096475900 3184946640 3344193972 3538829600 3654856800 3715771080 3821935968 3981183300 4180242465 4458925296 4644713850 4777419960 4954361440 5266447200 5308244400 5482285200 5573656620 5971774950 6192951800 6369893280 6688387944 6967070775 7431542160 7962366600 8360484930 8917850592 9289427700 9554839920 10616488800 10964570400 11147313240 11943549900 12385903600 13376775888 13934141550 14863084320 15924733200 16720969860 18578855400 19109679840 20901212325 22294626480 23887099800 24771807200 26753551776 27868283100 31849466400 33441939720 37157710800 41802424650 44589252960 47774199600 55736566200 66883879440 74315421600 83604849300 95548399200 111473132400 133767758880 167209698600 222946264800 334419397200 668838794400
• Sum of all divisors σ(n): 2836938424320
• Sum of proper divisors (its aliquot sum) s(n): 2168099629920
• 668838794400 is an abundant number, because the sum of its proper divisors (2168099629920) is greater than itself. Its abundance is 1499260835520

Bases of 668838794400

• Binary: 1001101110111001111001100001010010100000₂
• Hexadecimal: 0x9BB9E614A0
• Base-36: 8J9DCKO0

Squares and roots of 668838794400

• 668838794400 squared (668838794400²) is 447345332894445471360000
• 668838794400 cubed (668838794400³) is 299201913133587571520962128384000000
• The square root of 668838794400 is 817825.6503680965
• The cube root of 668838794400 is 8745.2820035629

Scales and comparisons

• 668,838,794,400 seconds is equal to 21,267 years, 1 day, 18 hours.
• To count from 1 to 668,838,794,400 would take you about forty-two thousand, five hundred thirty-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 668838794400 cubic inches would be around 728.8 feet tall.

Recreational maths with 668838794400

• 668838794400 backwards is 004497838866
• 668838794400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668838794400's digits is 63
• More coming soon!