74842057301323872

Names of 74842057301323872

• Cardinal: 74842057301323872 can be written as Seventy-four quadrillion, eight hundred forty-two trillion, fifty-seven billion, three hundred one million, three hundred twenty-three thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 7.4842057301323872 × 10¹⁶

Factors of 74842057301323872

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 205

Divisors of 74842057301323872

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 53 56 84 86 96 97 106 112 129 159 168 172 194 212 224 258 291 301 318 336 344 371 388 424 516 582 602 636 672 679 688 742 776 848 903 1032 1113 1164 1204 1272 1358 1376 1484 1552 1696 1806 1849 2037 2064 2226 2279 2328 2408 2544 2716 2809 2968 3104 3612 3698 4074 4128 4171 4452 4558 4656 4816 5088 5141 5432 5547 5618 5936 6837 7224 7396 8148 8342 8427 8904 9116 9312 9409 9632 10282 10864 11094 11236 11872 12513 12943 13674 14448 14792 15423 15953 16296 16684 16854 17808 18232 18818 19663 20564 21728 22188 22472 25026 25886 27348 28227 28896 29197 29584 30846 31906 32592 33368 33708 35616 35987 36464 37636 38829 39326 41128 44376 44944 47859 50052 51772 54696 56454 58394 58989 59168 61692 63812 65184 65863 66736 67416 71974 72928 75272 77658 78652 79507 82256 87591 88752 89888 95718 97997 100104 103544 107961 109392 112908 116788 117978 120787 123384 127624 131726 133472 134832 143948 148877 150544 155316 157304 159014 164512 175182 177504 179353 191436 195994 197589 200208 207088 215922 218784 221063 225816 233576 235956 238521 241574 246768 255248 263452 269664 272473 287896 293991 297754 301088 310632 314608 318028 350364 358706 362361 382872 391988 395178 400416 404587 414176 431844 442126 446631 451632 467152 471912 477042 483148 493536 498677 510496 526904 538059 544946 556549 575792 587982 595508 621264 629216 636056 663189 685979 700728 717412 724722 765744 783976 790356 809174 817419 845509 863688 884252 893262 903264 934304 943824 954084 966296 997354 1042139 1053808 1076118 1089892 1113098 1151584 1175964 1191016 1213761 1242528 1255471 1272112 1326378 1371958 1401456 1434824 1449444 1496031 1531488 1547441 1567952 1580712 1618348 1634838 1669647 1691018 1727376 1768504 1786524 1887648 1907311 1908168 1932592 1994708 2057937 2084278 2107616 2152236 2179784 2226196 2351928 2382032 2427522 2510942 2536527 2544224 2652756 2743916 2802912 2832109 2869648 2898888 2992062 3094882 3126417 3135904 3161424 3236696 3269676 3339294 3382036 3454752 3490739 3537008 3573048 3766413 3814622 3816336 3865184 3989416 4115874 4168556 4213871 4304472 4359568 4452392 4642323 4703856 4764064 4855044 5021884 5073054 5193841 5305512 5487832 5664218 5721933 5739296 5797776 5984124 6189764 6252834 6322848 6401711 6473392 6539352 6678588 6764072 6981478 7074016 7146096 7532826 7629244 7632672 7712179 7978832 8231748 8337112 8427742 8496327 8608944 8719136 8904784 9284646 9407712 9505709 9710088 10043768 10146108 10387682 10472217 10611024 10975664 11328436 11443866 11595552 11716339 11968248 12379528 12505668 12641613 12803422 12946784 13078704 13357176 13528144 13962956 14292192 14441069 15065652 15258488 15424358 15581523 15957664 16463496 16674224 16855484 16992654 17217888 17397241 17809568 18569292 19011418 19205133 19420176 20087536 20292216 20775364 20944434 21222048 21443111 21951328 22656872 22887732 23136537 23432678 23936496 24759056 25011336 25283226 25606844 26157408 26429881 26714352 27056288 27925912 28517127 28882138 29497097 30131304 30516976 30848716 31163046 32926992 33348448 33710968 33985308 34794482 35149017 36356887 37138584 38022836 38410266 38840352 40175072 40584432 41550728 41888868 42886222 43323207 44811977 45313744 45775464 46273074 46865356 47872992 49518112 50022672 50566452 51213688 52191723 52859762 53428704 53985253 55851824 57034254 57764276 58994194 60262608 61033952 61697432 62326092 64329333 65853984 66539963 67421936 67970616 69588964 70298034 72713774 74277168 76045672 76820532 79289643 81168864 82014373 83101456 83777736 85772444 86646414 88491291 89623954 90627488 91550928 92546148 93730712 100045344 101087483 101132904 102427376 104383446 105719524 107970506 109070661 111703648 114068508 115528552 117988388 120525216 121780687 123394864 124652184 128658666 133079926 134435931 134843872 135941232 139177928 140596068 145427548 148554336 150101777 152091344 153641064 158579286 161955759 164028746 166202912 167555472 171544888 173292828 176982582 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137338483632 139096376608 142041163668 146606549907 150081229536 151644575677 154905033864 156887773616 158593248956 160209219486 165714690946 167570225312 169277665872 173308086488 180701096397 184983841056 186910756067 189388218224 190929460344 195475399876 206540045152 208644564912 213612292648 235331660424 237889873434 240934795196 248572036419 251355337968 254572613792 259962129732 274676967264 277538185673 284082327336 293213099814 303289151354 309810067728 313775547232 317186497912 320418438972 331429381892 338555331744 342081949783 346616172976 361402192794 373821512134 378776436448 381858920688 390950799752 417289129824 421635891593 427224585296 454933727031 470663320848 475779746868 481869590392 497144072838 502710675936 519924259464 555076371346 560732268201 568164654672 586426199628 606578302708 619620135456 634372995824 640836877944 662858763784 684163899566 693232345952 722804385588 747643024268 763717841376 781901599504 832614557019 843271783186 854449170592 909867454062 941326641696 951559493736 963739180784 994288145676 1026245849349 1039848518928 1110152742692 1121464536402 1136329309344 1148166072983 1172852399256 1213156605416 1264907674779 1268745991648 1281673755888 1325717527568 1368327799132 1445608771176 1495286048536 1563803199008 1665229114038 1686543566372 1819734908124 1903118987472 1927478361568 1988576291352 2052491698698 2079697037856 2101360548667 2220305485384 2242929072804 2296332145966 2345704798512 2426313210832 2529815349558 2563347511776 2590049048357 2651435055136 2736655598264 2891217542352 2990572097072 3330458228076 3373087132744 3444498218949 3639469816248 3806237974944 3977152582704 4104983397396 4202721097334 4440610970768 4485858145608 4592664291932 4691409597024 4852626421664 5059630699116 5180098096714 5473311196528 5782435084704 5981144194144 6304081646001 6660916456152 6746174265488 6888996437898 7278939632496 7770147145071 7954305165408 8037162510881 8209966794792 8405442194668 8881221941536 8971716291216 9185328583864 10119261398232 10360196193428 10946622393056 12608163292002 13321832912304 13492348530976 13777992875796 14557879264992 14709523840669 15540294290142 16074325021762 16419933589584 16810884389336 17943432582432 18130343338499 18370657167728 20238522796464 20720392386856 24111487532643 25216326584004 26643665824608 27555985751592 29419047681338 31080588580284 32148650043524 32839867179168 33621768778672 36260686676998 36741314335456 40477045592928 41440784773712 44128571522007 48222975065286 50432653168008 54391030015497 55111971503184 58838095362676 62161177160568 64297300087048 67243537557344 72521373353996 82881569547424 88257143044014 96445950130572 100865306336016 108782060030994 110223943006368 111372109079351 117676190725352 124322354321136 128594600174096 145042746707992 176514286088028 192891900261144 201730612672032 217564120061988 222744218158702 235352381450704 248644708642272 257189200348192 290085493415984 334116327238053 353028572176056 385783800522288 435128240123976 445488436317404 470704762901408 580170986831968 668232654476106 706057144352112 771567601044576 779604763555457 870256480247952 890976872634808 1336465308952212 1412114288704224 1559209527110914 1740512960495904 1781953745269616 2338814290666371 2672930617904424 3118419054221828 3563907490539232 4677628581332742 5345861235808848 6236838108443656 9355257162665484 10691722471617696 12473676216887312 18710514325330968 24947352433774624 37421028650661936 74842057301323872
• Sum of all divisors σ(n): 236732838959232000
• Sum of proper divisors (its aliquot sum) s(n): 161890781657908128
• 74842057301323872 is an abundant number, because the sum of its proper divisors (161890781657908128) is greater than itself. Its abundance is 87048724356584256

Bases of 74842057301323872

• Binary: 100001001111001000111010001011111101101000111000001100000₂
• Hexadecimal: 0x109E4745FB47060
• Base-36: KGXAMH4JVXC

Squares and roots of 74842057301323872

• 74842057301323872 squared (74842057301323872²) is 5601333541094645898165483837072384
• 74842057301323872 cubed (74842057301323872³) is 419215325846432841671427157270891362993955891150848
• The square root of 74842057301323872 is 273572764.1804349501
• The cube root of 74842057301323872 is 421420.0934224431

Scales and comparisons

• 74,842,057,301,323,872 seconds is equal to 2,379,745,920 years, 25 weeks, 6 days, 14 hours, 51 minutes, 12 seconds.
• To count from 1 to 74,842,057,301,323,872 would take you about seven billion, one hundred thirty-nine million, two hundred thirty-seven thousand, seven hundred sixty-one 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 74842057301323872 cubic inches would be around 35118.3 feet tall.

Recreational maths with 74842057301323872

• 74842057301323872 backwards is 27832310375024847
• The number of decimal digits it has is: 17
• The sum of 74842057301323872's digits is 66
• More coming soon!