12834528016800

Names of 12834528016800

• Cardinal: 12834528016800 can be written as Twelve trillion, eight hundred thirty-four billion, five hundred twenty-eight million, sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.28345280168 × 10¹³

Factors of 12834528016800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4362

Divisors of 12834528016800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 70 75 80 84 93 96 98 100 105 112 120 124 140 147 150 155 160 168 175 186 196 200 210 217 224 240 245 248 280 294 300 310 336 350 372 392 400 420 434 465 480 490 496 525 560 588 600 620 651 672 700 735 744 775 784 800 840 868 930 980 992 1050 1085 1093 1120 1176 1200 1225 1240 1302 1400 1470 1488 1519 1550 1568 1680 1736 1860 1960 2100 2170 2186 2325 2352 2400 2450 2480 2604 2800 2940 2976 3038 3100 3221 3255 3279 3360 3472 3675 3720 3920 4200 4340 4372 4557 4650 4704 4900 4960 5208 5425 5465 5600 5880 6076 6200 6442 6510 6558 6944 7350 7440 7595 7651 7840 8400 8680 8744 9114 9300 9663 9800 10416 10850 10930 11760 12152 12400 12884 13020 13116 14700 14880 15190 15302 16105 16275 16395 16800 17360 17488 18228 18600 19326 19600 20832 21700 21860 22547 22785 22953 23520 24304 24800 25768 26040 26232 27325 29400 30380 30604 32210 32550 32790 33883 34720 34976 36456 37200 37975 38255 38652 39200 43400 43720 45094 45570 45906 48315 48608 51536 52080 52464 53557 54650 58800 60760 61208 64420 65100 65580 67641 67766 72912 74400 75950 76510 77304 80525 81975 86800 87440 90188 91140 91812 96630 99851 101649 103072 104160 104928 107114 109300 112735 113925 114765 117600 121520 122416 128840 130200 131160 135282 135532 145824 151900 153020 154608 157829 160671 161050 163950 169415 173600 174880 180376 182280 183624 191275 193260 199702 203298 214228 218600 225470 227850 229530 237181 241575 243040 244832 257680 260400 262320 267785 270564 271064 299553 303800 306040 309216 315658 321342 322100 327900 338205 338830 360752 364560 367248 382550 386520 399404 406596 428456 437200 450940 455700 459060 473487 474362 483150 499255 508245 515360 520800 524640 535570 541128 542128 563675 573825 599106 607600 612080 631316 642684 644200 655800 676410 677660 698957 711543 721504 729120 734496 765100 773040 789145 798808 803355 813192 847075 856912 874400 901880 911400 918120 946974 948724 966300 998510 1016490 1071140 1082256 1084256 1127350 1147650 1185905 1198212 1215200 1224160 1262632 1285368 1288400 1311600 1338925 1352820 1355320 1397914 1423086 1497765 1530200 1546080 1578290 1597616 1606710 1626384 1660267 1691025 1694150 1713824 1803760 1822800 1836240 1893948 1897448 1932600 1997020 2032980 2096871 2142280 2164512 2254700 2295300 2367435 2371810 2396424 2496275 2525264 2541225 2570736 2576800 2623200 2677850 2705640 2710640 2795828 2846172 2995530 3060400 3156580 3195232 3213420 3252768 3320534 3382050 3388300 3494785 3520553 3557715 3607520 3645600 3672480 3787896 3794896 3865200 3945725 3994040 4016775 4065960 4193742 4284560 4509400 4590600 4734870 4743620 4792848 4892699 4980801 4992550 5050528 5082450 5141472 5355700 5411280 5421280 5591656 5692344 5929525 5991060 6120800 6313160 6426840 6641068 6764100 6776600 6989570 7041106 7115430 7488825 7575792 7589792 7730400 7891450 7988080 8033550 8131920 8301335 8387484 8569120 9018800 9181200 9469740 9487240 9585696 9785398 9961602 9985100 10164900 10484355 10561659 10711400 10822560 11183312 11384688 11837175 11859050 11982120 12626320 12853680 13282136 13528200 13553200 13979140 14082212 14230860 14678097 14977650 15151584 15782900 15976160 16067100 16263840 16602670 16774968 17473925 17602765 17788575 18037600 18362400 18939480 18974480 19570796 19923204 19970200 20329800 20968710 21123318 21422800 22366624 22769376 23674350 23718100 23964240 24463495 24643871 24904005 25252640 25707360 26564272 27056400 27106400 27958280 28164424 28461720 29356194 29955300 31565800 32134200 33205340 33549936 34947850 35205530 35577150 37878960 37948960 39141592 39846408 39940400 40659600 41506675 41937420 42246636 42845600 47348700 47436200 47928480 48926990 49287742 49808010 52421775 52808295 53128544 54112800 55916560 56328848 56923440 58712388 59910600 63131600 64268400 66410680 67099872 69895700 70411060 71154300 73390485 73931613 75757920 78283184 79692816 79880800 81319200 83013350 83874840 84493272 88013825 94697400 94872400 97853980 98575484 99616020 104843550 105616590 109137143 111833120 112657696 113846880 117424776 119821200 122317475 123219355 124520025 126263200 128536800 132821360 139791400 140822120 142308600 146780970 147863226 156566368 159385632 166026700 167749680 168986544 172507097 176027650 189394800 189744800 195707960 197150968 199232040 209687100 211233180 218274286 234849552 239642400 244634950 246438710 249040050 264041475 265642720 279582800 281644240 284617200 293561940 295726452 327411429 332053400 335499360 337973088 345014194 352055300 366952425 369658065 378789600 391415920 394301936 398464080 419374200 422466360 436548572 469699104 489269900 492877420 498080100 517521291 528082950 545685715 559165600 563288480 569234400 587123880 591452904 616096775 654822858 664106800 690028388 704110600 733904850 739316130 763960001 782831840 788603872 796928160 838748400 844932720 862535485 873097144 978539800 985754840 996160200 1035042582 1056165900 1091371430 1174247760 1182905808 1232193550 1309645716 1328213600 1380056776 1408221200 1467809700 1478632260 1527920002 1637057145 1677496800 1689865440 1725070970 1746194288 1848290325 1957079600 1971509680 1992320400 2070085164 2112331800 2182742860 2291880003 2348495520 2365811616 2464387100 2587606455 2619291432 2728428575 2760113552 2816442400 2935619400 2957264520 3055840004 3274114290 3450141940 3492388576 3696580650 3819800005 3914159200 3943019360 3984640800 4140170328 4224663600 4312677425 4365485720 4583760006 4928774200 5175212910 5238582864 5347720007 5456857150 5520227104 5871238800 5914529040 6111680008 6548228580 6900283880 7393161300 7639600010 8185285725 8280340656 8449327200 8625354850 8730971440 9167520012 9857548400 10350425820 10477165728 10695440014 10913714300 11459400015 11742477600 11829058080 12223360016 12938032275 13096457160 13800567760 14786322600 15279200020 16043160021 16370571450 16560681312 17250709700 17461942880 18335040024 19099000025 19715096800 20700851640 21390880028 21827428600 22918800030 24446720032 25876064550 26192914320 26738600035 27601135520 29572645200 30558400040 32086320042 32741142900 34501419400 36670080048 38198000050 41401703280 42781760056 43654857200 45837600060 51752129100 52385828640 53477200070 57297000075 59145290400 61116800080 64172640084 65482285800 69002838800 73340160096 76396000100 80215800105 82803406560 85563520112 87309714400 91675200120 103504258200 106954400140 114594000150 122233600160 128345280168 130964571600 133693000175 138005677600 152792000200 160431600210 171127040224 183350400240 207008516400 213908800280 229188000300 256690560336 261929143200 267386000350 305584000400 320863200420 366700800480 401079000525 414017032800 427817600560 458376000600 513381120672 534772000700 611168000800 641726400840 802158001050 855635201120 916752001200 1069544001400 1283452801680 1604316002100 1833504002400 2139088002800 2566905603360 3208632004200 4278176005600 6417264008400 12834528016800
• Sum of all divisors σ(n): 50226154320384
• Sum of proper divisors (its aliquot sum) s(n): 37391626303584
• 12834528016800 is an abundant number, because the sum of its proper divisors (37391626303584) is greater than itself. Its abundance is 24557098286784

Bases of 12834528016800

• Binary: 10111010110001000101011110111011100110100000₂
• Hexadecimal: 0xBAC457BB9A0
• Base-36: 4JS3MLQ5C

Squares and roots of 12834528016800

• 12834528016800 squared (12834528016800²) is 164725109414024141082240000
• 12834528016800 cubed (12834528016800³) is 2114169031844738269551565152901632000000
• The square root of 12834528016800 is 3582530.9512689491
• The cube root of 12834528016800 is 23413.1564659109

Scales and comparisons

• 12,834,528,016,800 seconds is equal to 408,098 years, 15 weeks, 23 hours, 20 minutes.
• To count from 1 to 12,834,528,016,800 would take you about one million, twenty thousand, two hundred forty-five 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 12834528016800 cubic inches would be around 1951.1 feet tall.

Recreational maths with 12834528016800

• 12834528016800 backwards is 00861082543821
• 12834528016800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12834528016800's digits is 48
• More coming soon!