968009729400

Names of 968009729400

• Cardinal: 968009729400 can be written as Nine hundred sixty-eight billion, nine million, seven hundred twenty-nine thousand, four hundred.

Scientific notation

• Scientific notation: 9.680097294 × 10¹¹

Factors of 968009729400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 665

Divisors of 968009729400

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 41 42 45 49 50 54 56 60 63 70 72 75 81 82 84 90 98 100 105 108 120 123 126 135 140 147 150 162 164 168 175 180 189 196 200 205 210 216 225 245 246 252 270 280 287 294 300 315 324 328 343 350 360 369 378 392 405 410 420 441 450 490 492 504 525 540 567 574 588 600 607 615 630 648 675 686 700 735 738 756 810 820 840 861 882 900 945 980 984 1025 1029 1050 1080 1107 1134 1148 1176 1214 1225 1230 1260 1323 1350 1372 1400 1435 1470 1476 1512 1575 1620 1640 1715 1722 1764 1800 1821 1845 1890 1960 2009 2025 2050 2058 2100 2205 2214 2268 2296 2401 2428 2450 2460 2520 2583 2646 2700 2744 2835 2870 2940 2952 3035 3075 3087 3150 3240 3321 3430 3444 3528 3642 3675 3690 3780 3969 4018 4050 4100 4116 4200 4249 4305 4410 4428 4536 4725 4802 4856 4900 4920 5145 5166 5292 5400 5463 5535 5670 5740 5880 6027 6070 6150 6174 6300 6615 6642 6860 6888 7175 7203 7284 7350 7380 7560 7749 7938 8036 8100 8200 8232 8498 8575 8610 8820 8856 9105 9225 9261 9450 9604 9800 10045 10290 10332 10584 10926 11025 11070 11340 11480 12005 12054 12140 12300 12348 12600 12747 12915 13230 13284 13720 14063 14175 14350 14406 14568 14700 14760 15175 15435 15498 15876 16072 16200 16389 16605 16996 17150 17220 17640 18081 18210 18450 18522 18900 19208 19845 20090 20580 20664 21245 21525 21609 21852 22050 22140 22680 23247 24010 24108 24280 24600 24696 24887 25494 25725 25830 26460 26568 27315 27675 27783 28126 28350 28700 28812 29400 29743 30135 30350 30870 30996 31752 32778 33075 33210 33992 34300 34440 36015 36162 36420 36900 37044 37800 38241 38745 39690 40180 41160 42189 42490 43050 43218 43704 44100 44280 45525 46305 46494 48020 48216 49167 49774 50225 50988 51450 51660 52920 54243 54630 55350 55566 56252 56700 57400 57624 59486 60025 60270 60700 61740 61992 63735 64575 64827 65556 66150 66420 68600 70315 72030 72324 72840 73800 74088 74661 76482 77175 77490 79380 80360 81945 83025 84378 84980 86100 86436 88200 89229 90405 91050 92610 92988 96040 98334 98441 99225 99548 100450 101976 102900 103320 106225 108045 108486 109260 110700 111132 112504 113400 114723 116235 118972 120050 120540 121400 123480 124435 126567 127470 129150 129654 131112 132300 132840 136575 138915 140630 144060 144648 148715 149322 150675 152964 154350 154980 158760 162729 163890 166050 168756 169960 172200 172872 174209 178458 180075 180810 182100 185220 185976 191205 193725 194481 196668 196882 198450 199096 200900 205800 208201 210945 212450 216090 216972 218520 221400 222264 223983 229446 231525 232470 237944 240100 241080 245835 248870 253134 254940 258300 259308 264600 267687 271215 273150 277830 281260 288120 295323 297430 298644 301350 305928 308700 309960 318675 324135 325458 327780 332100 337512 344169 348418 351575 356916 360150 361620 364200 370440 373305 379701 382410 387450 388962 393336 393764 396900 401800 409725 416402 421890 424900 432180 433944 446145 447966 452025 458892 463050 464940 480200 491670 492205 497740 506268 509880 516600 518616 522627 535374 540225 542430 546300 555660 562520 573615 581175 590646 594860 597288 602700 617400 622175 624603 632835 637350 648270 650916 655560 664200 671949 688338 694575 696836 703150 713832 720300 723240 743575 746610 759402 764820 774900 777924 787528 793800 803061 813645 819450 832804 843780 849800 864360 871045 885969 892290 895932 904050 917784 926100 929880 956025 972405 983340 984410 995480 1012536 1041005 1045254 1054725 1070748 1080450 1084860 1092600 1111320 1119915 1139103 1147230 1162350 1181292 1189720 1205400 1219463 1229175 1244350 1249206 1265670 1274700 1296540 1301832 1338435 1343898 1356075 1376676 1389150 1393672 1406300 1440600 1457407 1476615 1487150 1493220 1518804 1529640 1549800 1555848 1567881 1606122 1620675 1627290 1638900 1665608 1687560 1720845 1742090 1771938 1784580 1791864 1808100 1852200 1866525 1873809 1898505 1912050 1944810 1966680 1968820 2015847 2082010 2090508 2109450 2141496 2160900 2169720 2230725 2239830 2278206 2294460 2324700 2362584 2409183 2438926 2458350 2461025 2488700 2498412 2531340 2549400 2593080 2613135 2657907 2676870 2687796 2712150 2753352 2778300 2812600 2868075 2914814 2953230 2974300 2986440 3037608 3123015 3135762 3164175 3212244 3241350 3254580 3277800 3359745 3441690 3484180 3543876 3569160 3616200 3658389 3733050 3747618 3797010 3824100 3889620 3937640 4015305 4031694 4068225 4164020 4181016 4218900 4321800 4355225 4372221 4429845 4461450 4479660 4556412 4588920 4649400 4703643 4818366 4862025 4877852 4916700 4922050 4977400 4996824 5062680 5205025 5226270 5315814 5353740 5375592 5424300 5556600 5599575 5621427 5695515 5736150 5829628 5906460 5948600 6097315 6246030 6271524 6328350 6424488 6482700 6509160 6692175 6719490 6883380 6968360 7087752 7287035 7316778 7383075 7466100 7495236 7594020 7648200 7779240 7839405 7973721 8030610 8063388 8136450 8328040 8437800 8536241 8604225 8710450 8744442 8859690 8922900 8959320 9112824 9369045 9407286 9492525 9636732 9724050 9755704 9833400 9844100 10079235 10410050 10452540 10631628 10707480 10848600 10975167 11199150 11242854 11391030 11472300 11659256 11812920 12045915 12194630 12492060 12543048 12656700 12965400 13065675 13116663 13289535 13384350 13438980 13766760 14110929 14574070 14633556 14766150 14932200 14990472 15188040 15615075 15678810 15947442 16061220 16126776 16272900 16798725 16864281 17072482 17208450 17420900 17488884 17719380 17845800 18291945 18738090 18814572 18985050 19273464 19448100 19688200 20076525 20158470 20820100 20905080 21263256 21861105 21950334 22149225 22398300 22485708 22782060 22944600 23518215 24091830 24389260 24984120 25313400 25608723 26131350 26233326 26579070 26768700 26877960 28107135 28221858 28477575 29148140 29267112 29532300 30486575 31230150 31357620 31894884 32122440 32545800 32925501 33597450 33728562 34144964 34416900 34841800 34977768 35438760 36435175 36583890 37476180 37629144 37970100 38896200 39197025 39349989 39868605 40153050 40316940 41640200 42681205 43722210 43900668 44298450 44796600 44971416 45564120 46845225 47036430 48183660 48778520 50396175 51217446 52262700 52466652 53158140 53537400 54875835 56214270 56443716 56955150 58296280 59064600 59753687 60229575 60973150 62460300 62715240 63789768 65583315 65851002 66447675 67194900 67457124 68289928 68833800 70554645 72870350 73167780 74952360 75940200 76826169 78394050 78699978 79737210 80306100 80633880 84321405 85362410 87444420 87801336 88596900 91459725 93690450 94072860 96367320 98776503 100792350 102434892 104525400 104933304 106316280 109305525 109751670 112428540 112887432 113910300 117591075 118049967 119507374 120459150 121946300 124920600 128043615 131166630 131702004 132895350 134389800 134914248 140535675 141109290 145740700 146335560 153652338 156788100 157399956 159474420 160612200 164627505 168642810 170724820 174888840 177193800 179261061 182919450 187380900 188145720 196749945 197553006 199343025 201584700 204869784 213406025 218611050 219503340 224857080 227820600 230478507 235182150 236099934 239014748 240918300 243892600 256087230 262333260 263404008 265790700 274379175 281071350 282218580 291481400 298768435 307304676 313576200 314799912 318948840 327916575 329255010 337285620 341449640 352773225 358522122 365838900 374761800 384130845 393499890 395106012 398686050 403169400 421607025 426812050 437222100 439006680 460957014 470364300 472199868 478029496 481836600 493882515 512174460 524666520 531581400 537783183 548758350 562142700 564437160 590249835 597536870 614609352 640218075 655833150 658510020 674571240 691435521 705546450 717044244 731677800 768261690 786999780 790212024 797372100 823137525 843214050 853624100 874444200 896305305 921914028 940728600 944399736 983749725 987765030 1024348920 1075566366 1097516700 1124285400 1152392535 1180499670 1195073740 1280436150 1311666300 1317020040 1382871042 1411092900 1434088488 1493842175 1536523380 1573999560 1594744200 1613349549 1646275050 1686428100 1707248200 1792610610 1843828056 1920654225 1967499450 1975530060 2151132732 2195033400 2304785070 2360999340 2390147480 2469412575 2560872300 2623332600 2688915915 2765742084 2822185800 2951249175 2987684350 3073046760 3226699098 3292550100 3372856200 3457177605 3585221220 3841308450 3934998900 3951060120 4302265464 4481526525 4609570140 4721998680 4840048647 4938825150 5121744600 5377831830 5531484168 5761962675 5902498350 5975368700 6453398196 6585100200 6914355210 7170442440 7682616900 7869997800 8066747745 8963053050 9219140280 9680097294 9877650300 10755663660 11523925350 11804996700 11950737400 12906796392 13444579575 13828710420 15365233800 16133495490 17285888025 17926106100 19360194588 19755300600 21511327320 23047850700 23609993400 24200243235 26889159150 27657420840 32266990980 34571776050 35852212200 38720389176 40333738725 46095701400 48400486470 53778318300 64533981960 69143552100 80667477450 96800972940 107556636600 121001216175 138287104200 161334954900 193601945880 242002432350 322669909800 484004864700 968009729400
• Sum of all divisors σ(n): 4024429295040
• Sum of proper divisors (its aliquot sum) s(n): 3056419565640
• 968009729400 is an abundant number, because the sum of its proper divisors (3056419565640) is greater than itself. Its abundance is 2088409836240

Bases of 968009729400

• Binary: 1110000101100001111000000100010101111000₂
• Hexadecimal: 0xE161E04578
• Base-36: CCP3ZZI0

Squares and roots of 968009729400

• 968009729400 squared (968009729400²) is 937042836213061224360000
• 968009729400 cubed (968009729400³) is 907066582318813916538356288184000000
• The square root of 968009729400 is 983874.8545419789
• The cube root of 968009729400 is 9892.2080285787

Scales and comparisons

• 968,009,729,400 seconds is equal to 30,779 years, 37 weeks, 1 day, 7 hours, 30 minutes.
• To count from 1 to 968,009,729,400 would take you about sixty-one thousand, five hundred fifty-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 968009729400 cubic inches would be around 824.4 feet tall.

Recreational maths with 968009729400

• 968009729400 backwards is 004927900869
• 968009729400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 968009729400's digits is 54
• More coming soon!