1007978419994112

Names of 1007978419994112

• Cardinal: 1007978419994112 can be written as One quadrillion, seven trillion, nine hundred seventy-eight billion, four hundred nineteen million, nine hundred ninety-four thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.007978419994112 × 10¹⁵

Factors of 1007978419994112

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 19481

Divisors of 1007978419994112

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 227 252 256 288 336 378 384 432 448 454 504 512 576 672 681 756 768 864 896 908 1008 1152 1344 1362 1512 1536 1589 1728 1792 1816 2016 2043 2304 2688 2724 2789 3024 3178 3456 3584 3632 4032 4086 4608 4767 5376 5448 5578 6048 6129 6356 6912 7264 8064 8172 8367 9534 10752 10896 11156 12096 12258 12712 13824 14301 14528 16128 16344 16453 16734 19068 19523 21792 22312 24192 24516 25101 25424 28602 29056 32256 32688 32906 33468 38136 39046 42903 43584 44624 48384 49032 49359 50202 50848 57204 58112 58569 65376 65812 66936 75303 76272 78092 85806 87168 89248 96768 98064 98718 100404 101696 114408 115171 116224 117138 130752 131624 133872 148077 150606 152544 156184 171612 174336 175707 178496 196128 197436 200808 203392 228816 230342 234276 261504 263248 267744 296154 301212 305088 312368 343224 345513 348672 351414 356992 392256 394872 401616 406784 444231 457632 460684 468552 523008 526496 527121 535488 592308 602424 610176 624736 633103 686448 691026 702828 713984 784512 789744 803232 813568 888462 915264 921368 937104 1036539 1046016 1052992 1054242 1070976 1184616 1204848 1220352 1249472 1266206 1372896 1382052 1405656 1427968 1569024 1579488 1606464 1776924 1830528 1842736 1874208 1899309 2073078 2105984 2108484 2141952 2369232 2409696 2440704 2498944 2532412 2745792 2764104 2811312 3109617 3138048 3158976 3212928 3553848 3661056 3685472 3734831 3748416 3798618 4146156 4211968 4216968 4283904 4431721 4738464 4819392 4997888 5064824 5491584 5528208 5622624 5697927 6219234 6317952 6425856 7107696 7322112 7370944 7469662 7496832 7597236 8292312 8423936 8433936 8863442 9476928 9638784 9995776 10129648 10983168 11056416 11204493 11245248 11395854 12438468 12635904 12851712 13295163 14215392 14741888 14939324 14993664 15194472 16584624 16867872 17093781 17726884 18953856 19277568 20259296 21966336 22112832 22408986 22490496 22791708 24876936 25271808 26143817 26590326 28430784 29483776 29878648 29987328 30388944 33169248 33613479 33735744 34187562 35453768 37907712 38555136 39885489 40518592 44225664 44817972 44980992 45583416 45887417 49753872 52287634 53180652 56861568 58967552 59757296 60777888 66338496 67226958 67471488 68375124 70907536 75815424 78431451 79770978 81037184 88451328 89635944 89961984 91166832 91774834 99507744 100840437 104575268 106361304 113723136 119514592 119656467 121555776 132676992 134453916 134942976 136750248 137662251 141815072 156862902 159541956 162074368 176902656 179271888 182333664 183549668 199015488 201680874 209150536 212722608 227446272 235294353 239029184 239312934 243111552 265353984 268907832 269885952 273500496 275324502 283630144 313725804 319083912 321211919 324148736 358543776 364667328 367099336 398030976 403361748 412986753 418301072 425445216 470588706 478058368 478625868 486223104 530707968 537815664 547000992 550649004 567260288 627451608 638167824 642423838 705883059 717087552 729334656 734198672 796061952 806723496 825973506 836602144 850890432 941177412 956116736 957251736 963635757 972446208 1075631328 1094001984 1101298008 1134520576 1238960259 1254903216 1276335648 1284847676 1411766118 1434175104 1458669312 1468397344 1592123904 1613446992 1651947012 1673204288 1701780864 1882354824 1912233472 1914503472 1927271514 2151262656 2188003968 2202596016 2269041152 2477920518 2509806432 2552671296 2569695352 2823532236 2868350208 2890907271 2917338624 2936794688 3226893984 3303894024 3346408576 3403561728 3764709648 3829006944 3854543028 4302525312 4376007936 4405192032 4955841036 5019612864 5105342592 5139390704 5647064472 5736700416 5781814542 5873589376 6453787968 6607788048 6692817152 6807123456 7529419296 7658013888 7709086056 8605050624 8672721813 8752015872 8810384064 9911682072 10039225728 10210685184 10278781408 10416443659 11294128944 11563629084 11747178752 12907575936 13215576096 13385634304 15058838592 15316027776 15418172112 17210101248 17345443626 17620768128 19823364144 20078451456 20421370368 20557562816 20832887318 22588257888 23127258168 23494357504 25815151872 26431152192 30117677184 30632055552 30836344224 31249330977 34690887252 35241536256 39646728288 40156902912 41115125632 41665774636 45176515776 46254516336 51630303744 52862304384 60235354368 61264111104 61672688448 62498661954 69381774504 70483072512 72915105613 79293456576 82230251264 83331549272 90353031552 92509032672 93747992931 105724608768 120470708736 123345376896 124997323908 138763549008 145830211226 158586913152 164460502528 166663098544 180706063104 185018065344 187495985862 211449217536 218745316839 246690753792 249994647816 277527098016 281243978793 291660422452 317173826304 333326197088 361412126208 370036130688 374991971724 437490633678 493381507584 499989295632 555054196032 562487957586 583320844904 634347652608 656235950517 666652394176 740072261376 749983943448 874981267356 999978591264 1110108392064 1124975915172 1166641689808 1312471901034 1333304788352 1480144522752 1499967886896 1749962534712 1968707851551 1999957182528 2220216784128 2249951830344 2333283379616 2624943802068 2666609576704 2999935773792 3499925069424 3937415703102 3999914365056 4440433568256 4499903660688 4666566759232 5249887604136 5333219153408 5999871547584 6999850138848 7874831406204 7999828730112 8999807321376 9333133518464 10499775208272 11999743095168 13999700277696 15749662812408 15999657460224 17999614642752 18666267036928 20999550416544 23999486190336 27999400555392 31499325624816 35999229285504 37332534073856 41999100833088 47998972380672 55998801110784 62998651249632 71998458571008 83998201666176 111997602221568 125997302499264 143996917142016 167996403332352 251994604998528 335992806664704 503989209997056 1007978419994112
• Sum of all divisors σ(n): 3426384961612800
• Sum of proper divisors (its aliquot sum) s(n): 2418406541618688
• 1007978419994112 is an abundant number, because the sum of its proper divisors (2418406541618688) is greater than itself. Its abundance is 1410428121624576

Bases of 1007978419994112

• Binary: 11100101001100000001000011101010100011111000000000₂
• Hexadecimal: 0x394C043AA3E00
• Base-36: 9XAQW616O0

Squares and roots of 1007978419994112

• 1007978419994112 squared (1007978419994112²) is 1016020495173826446126114668544
• 1007978419994112 cubed (1007978419994112³) is 1024126733406948877844832694223014257311612928
• The square root of 1007978419994112 is 31748675.8778080697
• The cube root of 1007978419994112 is 100265.2431717057

Scales and comparisons

• 1,007,978,419,994,112 seconds is equal to 32,050,595 years, 45 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 1,007,978,419,994,112 would take you about ninety-six million, one hundred fifty-one thousand, seven hundred eighty-seven 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 1007978419994112 cubic inches would be around 8355.4 feet tall.

Recreational maths with 1007978419994112

• 1007978419994112 backwards is 2114999148797001
• 1007978419994112 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1007978419994112's digits is 72
• More coming soon!