68083142400

Names of 68083142400

• Cardinal: 68083142400 can be written as Sixty-eight billion, eighty-three million, one hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 6.80831424 × 10¹⁰

Factors of 68083142400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 480

Divisors of 68083142400

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 100 104 105 112 117 120 124 126 128 130 140 144 150 155 156 160 168 175 180 182 186 192 195 200 208 210 217 224 225 234 240 248 252 256 260 273 279 280 288 300 310 312 315 320 325 336 350 360 364 372 384 390 400 403 416 419 420 434 448 450 455 465 468 480 496 504 520 525 546 558 560 576 585 600 620 624 630 640 650 651 672 700 720 728 744 768 775 780 800 806 819 832 838 840 868 896 900 910 930 936 960 975 992 1008 1040 1050 1085 1092 1116 1120 1152 1170 1200 1209 1240 1248 1257 1260 1280 1300 1302 1344 1365 1395 1400 1440 1456 1488 1550 1560 1575 1600 1612 1638 1664 1676 1680 1736 1792 1800 1820 1860 1872 1920 1950 1953 1984 2015 2016 2080 2095 2100 2170 2184 2232 2240 2275 2304 2325 2340 2400 2418 2480 2496 2514 2520 2600 2604 2688 2730 2790 2800 2821 2880 2912 2925 2933 2976 3100 3120 3150 3200 3224 3255 3276 3328 3352 3360 3472 3600 3627 3640 3720 3744 3771 3840 3900 3906 3968 4030 4032 4095 4160 4190 4200 4340 4368 4464 4480 4550 4650 4680 4800 4836 4960 4992 5028 5040 5200 5208 5376 5425 5447 5460 5580 5600 5642 5760 5824 5850 5866 5952 6045 6200 6240 6285 6300 6400 6448 6510 6552 6704 6720 6825 6944 6975 7200 7254 7280 7440 7488 7542 7800 7812 7936 8060 8064 8190 8320 8380 8400 8463 8680 8736 8799 8928 8960 9100 9300 9360 9600 9672 9765 9920 9984 10056 10075 10080 10400 10416 10475 10850 10894 10920 11160 11200 11284 11520 11648 11700 11732 11904 12090 12400 12480 12570 12600 12896 12989 13020 13104 13408 13440 13650 13888 13950 14105 14400 14508 14560 14665 14880 14976 15084 15600 15624 16120 16128 16275 16341 16380 16640 16760 16800 16926 17360 17472 17598 17856 18135 18200 18600 18720 18855 19200 19344 19530 19840 20112 20150 20160 20475 20800 20832 20950 21700 21788 21840 22320 22400 22568 23296 23400 23464 23808 24180 24800 24960 25140 25200 25389 25792 25978 26040 26208 26397 26816 26880 27235 27300 27776 27900 28210 28800 29016 29120 29330 29760 29952 30168 30225 31200 31248 31425 32240 32550 32682 32760 33520 33600 33852 34720 34944 35196 35712 36270 36400 37200 37440 37710 38129 38688 38967 39060 39680 40224 40300 40320 40950 41600 41664 41900 42315 43400 43576 43680 43995 44640 44800 45136 46800 46928 48360 48825 49023 49600 49920 50280 50400 50778 51584 51956 52080 52416 52794 53632 54470 54600 55552 55800 56420 57600 58032 58240 58660 59520 60336 60450 62400 62496 62850 64480 64945 65100 65364 65520 67040 67200 67704 69440 69888 70392 70525 71424 72540 72800 73325 74400 74880 75420 76258 77376 77934 78120 80448 80600 80640 81705 81900 83200 83328 83800 84630 86800 87152 87360 87990 89280 90272 90675 90923 93600 93856 94275 96720 97650 98046 99200 100560 100800 101556 103168 103912 104160 104832 105588 107264 108940 109200 111600 112840 114387 116064 116480 116901 117320 119040 120672 120900 124800 124992 125700 126945 128960 129890 130200 130728 131040 131985 134080 134400 135408 136175 138880 140784 141050 145080 145600 146650 148800 149760 150840 152516 154752 155868 156240 160896 161200 163410 163800 166656 167600 168857 169260 173600 174304 174720 175980 178560 180544 181350 181846 187200 187712 188550 190645 193440 194835 195300 196092 198400 201120 201600 203112 207824 208320 209664 211176 211575 217880 218400 219975 223200 225680 228774 232128 233802 234640 241344 241800 245115 249600 249984 251400 253890 257920 259780 260400 261456 262080 263970 268160 270816 272350 272769 277760 281568 282100 290160 291200 293300 297600 301680 305032 309504 311736 312480 321792 322400 324725 326820 327600 335200 337714 338520 343161 347200 348608 349440 351960 357120 361088 362700 363692 374400 375424 377100 381290 386880 389670 390600 392184 402240 403200 406224 408525 415648 416640 422352 423150 435760 436800 439950 446400 451360 454615 457548 464256 467604 469280 482688 483600 490230 499968 502800 506571 507780 515840 519560 520800 522912 524160 527940 536320 541632 544700 545538 563136 564200 571935 580320 582400 584505 586600 595200 603360 610064 623472 624960 634725 644800 649450 653640 655200 659925 670400 675428 677040 686322 694400 697216 703920 722176 725400 727384 748800 750848 754200 762580 773760 779340 781200 784368 804480 812448 817050 818307 831296 833280 844285 844704 846300 871520 873600 879900 892800 902720 909230 915096 928512 935208 938560 953225 965376 967200 974175 980460 1005600 1013142 1015560 1039120 1041600 1045824 1048320 1055880 1083264 1089400 1091076 1126272 1128400 1143870 1160640 1169010 1173200 1181999 1206720 1220128 1225575 1246944 1249920 1269450 1289600 1298900 1307280 1310400 1319850 1340800 1350856 1354080 1363845 1372644 1388800 1394432 1407840 1450800 1454768 1508400 1519713 1525160 1547520 1558680 1562400 1568736 1608960 1624896 1634100 1636614 1662592 1688570 1689408 1692600 1715805 1743040 1747200 1759800 1785600 1805440 1818460 1830192 1870416 1877120 1906450 1934400 1948350 1960920 2011200 2026284 2031120 2078240 2083200 2091648 2111760 2166528 2178800 2182152 2252544 2256800 2273075 2287740 2321280 2338020 2346400 2363998 2413440 2440256 2451150 2493888 2499840 2532855 2538900 2579200 2597800 2614560 2620800 2639700 2681600 2701712 2708160 2727690 2745288 2815680 2859675 2901600 2909536 2922525 3016800 3039426 3050320 3117360 3124800 3137472 3249792 3268200 3273228 3325184 3377140 3378816 3385200 3431610 3486080 3519600 3545997 3610880 3636920 3660384 3740832 3754240 3812900 3868800 3896700 3921840 4022400 4052568 4062240 4091535 4156480 4166400 4183296 4221425 4223520 4357600 4364304 4513600 4546150 4575480 4642560 4676040 4692800 4727996 4826880 4880512 4902300 4987776 5065710 5077800 5195600 5229120 5241600 5279400 5403424 5416320 5455380 5490576 5631360 5719350 5803200 5819072 5845050 5909995 6033600 6078852 6100640 6234720 6249600 6274944 6499584 6536400 6546456 6754280 6757632 6770400 6819225 6863220 6972160 7039200 7091994 7273840 7320768 7481664 7598565 7625800 7737600 7793400 7843680 8044800 8105136 8124480 8183070 8312960 8442850 8447040 8579025 8715200 8728608 9027200 9092300 9150960 9352080 9385600 9455992 9761024 9804600 9975552 10131420 10155600 10391200 10458240 10558800 10637991 10806848 10832640 10910760 10981152 11262720 11438700 11606400 11638144 11690100 11819990 12067200 12157704 12201280 12469440 12499200 12549888 12664275 13072800 13092912 13508560 13540800 13638450 13726440 14078400 14183988 14547680 14641536 14963328 15197130 15251600 15586800 15687360 16210272 16248960 16366140 16625920 16885700 16894080 17158050 17430400 17457216 17729985 18054400 18184600 18301920 18704160 18771200 18911984 19609200 20262840 20311200 20457675 20782400 20916480 21117600 21275982 21613696 21821520 21962304 22877400 23212800 23276288 23380200 23639980 24134400 24315408 24402560 24938880 25328550 26145600 26185824 27017120 27081600 27276900 27452880 28156800 28367976 29095360 29283072 29549975 29926656 30394260 30503200 31173600 31374720 32420544 32497920 32732280 33771400 33788160 34316100 34860800 34914432 35459970 36369200 36603840 37408320 37823968 37992825 39218400 40525680 40622400 40915350 41564800 42235200 42551964 43227392 43643040 43924608 45754800 46760400 47279960 48630816 48805120 49877760 50657100 52291200 52371648 53189955 54034240 54163200 54553800 54905760 56313600 56735952 58190720 59099950 60788520 61006400 62347200 62749440 64841088 65464560 67542800 68632200 69828864 70919940 72738400 73207680 74816640 75647936 75985650 78436800 81051360 81244800 81830700 83129600 84470400 85103928 87286080 87849216 88649925 91509600 93520800 94559920 97261632 101314200 104582400 104743296 106379910 108068480 109107600 109811520 113471904 116381440 118199900 121577040 122012800 124694400 129682176 130929120 135085600 137264400 141839880 145476800 146415360 149633280 151295872 151971300 156873600 162102720 162489600 163661400 168940800 170207856 174572160 177299850 183019200 187041600 189119840 194523264 202628400 209486592 212759820 216136960 218215200 219623040 226943808 236399800 243154080 244025600 249388800 261858240 265949775 270171200 274528800 283679760 290953600 302591744 303942600 313747200 324205440 327322800 340415712 349144320 354599700 366038400 374083200 378239680 389046528 405256800 425519640 436430400 439246080 453887616 472799600 486308160 523716480 531899550 540342400 549057600 567359520 581907200 607885200 648410880 654645600 680831424 709199400 732076800 748166400 756479360 810513600 851039280 872860800 907775232 945599200 972616320 1047432960 1063799100 1080684800 1098115200 1134719040 1215770400 1309291200 1361662848 1418398800 1512958720 1621027200 1702078560 1745721600 1891198400 1945232640 2127598200 2196230400 2269438080 2431540800 2618582400 2723325696 2836797600 3242054400 3404157120 3782396800 4255196400 4538876160 4863081600 5237164800 5673595200 6808314240 7564793600 8510392800 9726163200 11347190400 13616628480 17020785600 22694380800 34041571200 68083142400
• Sum of all divisors σ(n): 309986826240
• Sum of proper divisors (its aliquot sum) s(n): 241903683840
• 68083142400 is an abundant number, because the sum of its proper divisors (241903683840) is greater than itself. Its abundance is 173820541440

Bases of 68083142400

• Binary: 111111011010000100100100111100000000₂
• Hexadecimal: 0xFDA124F00
• Base-36: V9YY0W0

Squares and roots of 68083142400

• 68083142400 squared (68083142400²) is 4635314279058677760000
• 68083142400 cubed (68083142400³) is 315586762129905295889793024000000
• The square root of 68083142400 is 260927.4657831175
• The cube root of 68083142400 is 4083.3179469455

Scales and comparisons

• 68,083,142,400 seconds is equal to 2,164 years, 43 weeks, 2 days, 8 hours.
• To count from 1 to 68,083,142,400 would take you about four thousand, three hundred twenty-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 68083142400 cubic inches would be around 340.3 feet tall.

Recreational maths with 68083142400

• 68083142400 backwards is 00424138086
• 68083142400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 68083142400's digits is 36
• More coming soon!