12991711334400

Names of 12991711334400

• Cardinal: 12991711334400 can be written as Twelve trillion, nine hundred ninety-one billion, seven hundred eleven million, three hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.29917113344 × 10¹³

Factors of 12991711334400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 14710

Divisors of 12991711334400

• Number of divisors d(n): 702
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 512 558 576 600 620 640 720 744 768 775 800 900 930 960 961 992 1024 1116 1152 1200 1240 1280 1395 1440 1488 1536 1550 1600 1800 1860 1920 1922 1984 2048 2232 2304 2325 2400 2480 2560 2790 2880 2883 2976 3072 3100 3200 3600 3720 3840 3844 3968 4096 4464 4608 4650 4800 4805 4960 5120 5580 5760 5766 5952 6144 6200 6400 6975 7200 7440 7680 7688 7936 8649 8928 9216 9300 9600 9610 9920 10240 11160 11520 11532 11904 12288 12400 12800 13950 14400 14415 14669 14880 15360 15376 15872 17298 17856 18432 18600 19200 19220 19840 20480 22320 23040 23064 23808 24025 24800 25600 27900 28800 28830 29338 29760 30720 30752 31744 34596 35712 36864 37200 38400 38440 39680 43245 44007 44640 46080 46128 47616 48050 49600 51200 55800 57600 57660 58676 59520 61440 61504 63488 69192 71424 72075 73345 74400 76800 76880 79360 86490 88014 89280 92160 92256 95232 96100 99200 102400 111600 115200 115320 117352 119040 123008 126976 132021 138384 142848 144150 146690 148800 153600 153760 158720 172980 176028 178560 184320 184512 190464 192200 198400 216225 220035 223200 230400 230640 234704 238080 246016 264042 276768 285696 288300 293380 297600 307200 307520 317440 345960 352056 357120 366725 369024 380928 384400 396800 432450 440070 446400 454739 460800 461280 469408 476160 492032 528084 553536 571392 576600 586760 595200 615040 634880 660105 691920 704112 714240 733450 738048 768800 793600 864900 880140 892800 909478 921600 922560 938816 952320 984064 1056168 1100175 1107072 1142784 1153200 1173520 1190400 1230080 1320210 1364217 1383840 1408224 1428480 1466900 1476096 1537600 1587200 1729800 1760280 1785600 1818956 1845120 1877632 1904640 1968128 2112336 2200350 2214144 2273695 2306400 2347040 2380800 2460160 2640420 2728434 2767680 2816448 2856960 2933800 2952192 3075200 3174400 3300525 3459600 3520560 3571200 3637912 3690240 3755264 3936256 4092651 4224672 4400700 4428288 4547390 4612800 4694080 4761600 4920320 5280840 5456868 5535360 5632896 5713920 5867600 5904384 6150400 6601050 6821085 6919200 7041120 7142400 7275824 7380480 7510528 8185302 8449344 8801400 8856576 9094780 9225600 9388160 9523200 9840640 10561680 10913736 11070720 11265792 11368475 11735200 11808768 12300800 13202100 13642170 13838400 14082240 14096909 14284800 14551648 14760960 15021056 16370604 16898688 17602800 17713152 18189560 18451200 18776320 19681280 20463255 21123360 21827472 22141440 22531584 22736950 23470400 24601600 26404200 27284340 27676800 28164480 28193818 28569600 29103296 29521920 30042112 32741208 33797376 34105425 35205600 35426304 36379120 36902400 37552640 40926510 42246720 42290727 43654944 44282880 45063168 45473900 46940800 49203200 52808400 54568680 55353600 56328960 56387636 58206592 59043840 60084224 65482416 67594752 68210850 70411200 70484545 72758240 73804800 75105280 81853020 84493440 84581454 87309888 88565760 90126336 90947800 93881600 98406400 102316275 105616800 109137360 110707200 112657920 112775272 116413184 126872181 130964832 135189504 136421700 140822400 140969090 145516480 147609600 150210560 163706040 168986880 169162908 174619776 177131520 180252672 181895600 187763200 204632550 211233600 211453635 218274720 221414400 225315840 225550544 232826368 253744362 261929664 270379008 272843400 281644800 281938180 291032960 295219200 300421120 327412080 337973760 338325816 349239552 352422725 363791200 375526400 409265100 422467200 422907270 436549440 442828800 450631680 451101088 465652736 507488724 523859328 540758016 545686800 563289600 563876360 582065920 634360905 654824160 675947520 676651632 698479104 704845450 727582400 751052800 818530200 844934400 845814540 873098880 885657600 901263360 902202176 931305472 1014977448 1047718656 1057268175 1091373600 1126579200 1127752720 1164131840 1268721810 1309648320 1351895040 1353303264 1396958208 1409690900 1455164800 1502105600 1637060400 1689868800 1691629080 1746197760 1804404352 1862610944 2029954896 2095437312 2114536350 2182747200 2253158400 2255505440 2328263680 2537443620 2619296640 2703790080 2706606528 2793916416 2819381800 2910329600 3171804525 3274120800 3379737600 3383258160 3492395520 3608808704 4059909792 4190874624 4229072700 4365494400 4506316800 4511010880 4656527360 5074887240 5238593280 5413213056 5587832832 5638763600 5820659200 6343609050 6548241600 6759475200 6766516320 6984791040 7217617408 8119819584 8381749248 8458145400 8730988800 9022021760 9313054720 10149774480 10477186560 10826426112 11277527200 11641318400 12687218100 13096483200 13518950400 13533032640 13969582080 14435234816 16239639168 16763498496 16916290800 17461977600 18044043520 20299548960 20954373120 21652852224 22555054400 23282636800 25374436200 26192966400 27066065280 27939164160 28870469632 32479278336 33832581600 34923955200 36088087040 40599097920 41908746240 43305704448 45110108800 46565273600 50748872400 52385932800 54132130560 57740939264 64958556672 67665163200 69847910400 72176174080 81198195840 83817492480 86611408896 90220217600 101497744800 104771865600 108264261120 129917113344 135330326400 139695820800 144352348160 162396391680 173222817792 180440435200 202995489600 209543731200 216528522240 259834226688 270660652800 288704696320 324792783360 360880870400 405990979200 419087462400 433057044480 519668453376 541321305600 649585566720 721761740800 811981958400 866114088960 1082642611200 1299171133440 1443523481600 1623963916800 2165285222400 2598342266880 3247927833600 4330570444800 6495855667200 12991711334400
• Sum of all divisors σ(n): 48086296992630
• Sum of proper divisors (its aliquot sum) s(n): 35094585658230
• 12991711334400 is an abundant number, because the sum of its proper divisors (35094585658230) is greater than itself. Its abundance is 22102874323830

Bases of 12991711334400

• Binary: 10111101000011011110010101101101000000000000₂
• Hexadecimal: 0xBD0DE56D000
• Base-36: 4LSB5HQ80

Squares and roots of 12991711334400

• 12991711334400 squared (12991711334400²) is 168784563396377428623360000
• 12991711334400 cubed (12991711334400³) is 2192800325348471999346433100611584000000
• The square root of 12991711334400 is 3604401.6610805183
• The cube root of 12991711334400 is 23508.3485257989

Scales and comparisons

• 12,991,711,334,400 seconds is equal to 413,096 years, 12 weeks, 1 day, 8 hours.
• To count from 1 to 12,991,711,334,400 would take you about one million, thirty-two thousand, seven hundred forty 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 12991711334400 cubic inches would be around 1959 feet tall.

Recreational maths with 12991711334400

• 12991711334400 backwards is 00443311719921
• 12991711334400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12991711334400's digits is 45
• More coming soon!