42098165491083768
42,098,165,491,083,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 42098165491083768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
42098165491083768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42098165491083768:
23 × 39 × 112 × 172 × 1973
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 17 × 17 × 197 × 197 × 197)See below for interesting mathematical facts about the number 42098165491083768 from the Numbermatics database.
Names of 42098165491083768
- Cardinal: 42098165491083768 can be written as Forty-two quadrillion, ninety-eight trillion, one hundred sixty-five billion, four hundred ninety-one million, eighty-three thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2098165491083768 × 1016
Factors of 42098165491083768
Divisors of 42098165491083768
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 121 132 136 153 162 187 197 198 204 216 242 243 264 289 297 306 324 363 374 394 396 408 459 484 486 561 578 591 594 612 648 726 729 748 788 792 867 891 918 968 972 1089 1122 1156 1182 1188 1224 1377 1452 1458 1496 1576 1683 1734 1773 1782 1836 1944 2057 2167 2178 2187 2244 2312 2364 2376 2601 2673 2754 2904 2916 3179 3267 3349 3366 3468 3546 3564 3672 4114 4131 4334 4356 4374 4488 4728 5049 5202 5319 5346 5508 5832 6171 6358 6501 6534 6561 6698 6732 6936 7092 7128 7803 8019 8228 8262 8668 8712 8748 9537 9801 10047 10098 10404 10638 10692 11016 12342 12393 12716 13002 13068 13122 13396 13464 14184 15147 15606 15957 16038 16456 16524 17336 17496 18513 19074 19503 19602 19683 20094 20196 20808 21276 21384 23409 23837 24057 24684 24786 25432 26004 26136 26244 26792 28611 29403 30141 30294 31212 31914 32076 33048 34969 36839 37026 37179 38148 38809 39006 39204 39366 40188 40392 42552 45441 46818 47674 47871 48114 49368 49572 52008 52488 55539 56933 57222 58509 58806 60282 60588 62424 63828 64152 69938 70227 71511 72171 73678 74052 74358 76296 77618 78012 78408 78732 80376 85833 88209 90423 90882 93636 95348 95742 96228 99144 104907 110517 111078 111537 113866 114444 116427 117018 117612 120564 121176 127656 136323 139876 140454 143022 143613 144342 147356 148104 148716 155236 156024 157464 166617 170799 171666 175527 176418 180846 181764 187272 190696 191484 192456 209814 210681 214533 216513 221034 222156 223074 227732 228888 232854 234036 235224 241128 257499 264627 271269 272646 279752 280908 286044 287226 288684 294712 297432 310472 314721 331551 333234 334611 341598 343332 349281 351054 352836 361692 363528 382968 405229 408969 419628 421362 426899 429066 430839 433026 442068 444312 446148 455464 465708 468072 499851 512397 514998 526581 529254 542538 545292 561816 572088 574452 577368 626263 629442 632043 643599 659753 663102 666468 669222 683196 686664 698562 702108 705672 723384 772497 793881 810458 813807 817938 839256 842724 853798 858132 861678 866052 884136 892296 931416 944163 994653 999702 1024794 1029996 1047843 1053162 1058508 1085076 1090584 1148904 1215687 1226907 1252526 1258884 1264086 1280697 1287198 1292517 1319506 1326204 1332936 1338444 1366392 1397124 1404216 1499553 1537191 1544994 1579743 1587762 1620916 1627614 1635876 1685448 1707596 1716264 1723356 1732104 1878789 1888326 1896129 1930797 1979259 1989306 1999404 2049588 2059992 2095686 2106324 2117016 2170152 2317491 2381643 2431374 2441421 2453814 2505052 2517768 2528172 2561394 2574396 2585034 2639012 2652408 2676888 2794248 2832489 2983959 2999106 3074382 3089988 3143529 3159486 3175524 3241832 3255228 3271752 3415192 3446712 3647061 3680721 3757578 3776652 3792258 3842091 3861594 3877551 3958518 3978612 3998808 4099176 4191372 4212648 4498659 4611573 4634982 4695889 4739229 4763286 4862748 4882842 4907628 5010104 5056344 5122788 5148792 5170068 5278024 5636367 5664978 5688387 5792391 5937777 5967918 5998212 6148764 6179976 6287058 6318972 6351048 6510456 6888893 6952473 7257283 7294122 7324263 7361442 7515156 7553304 7584516 7645373 7684182 7723188 7755102 7917036 7957224 8382744 8497467 8951877 8997318 9223146 9269964 9391778 9430587 9478458 9526572 9725496 9765684 9815256 10245576 10340136 10941183 11215801 11272734 11329956 11376774 11526273 11584782 11875554 11935836 11996424 12297528 12574116 12637944 13495977 13777786 13834719 13904946 14087667 14217687 14514566 14588244 14648526 14722884 15030312 15169032 15290746 15368364 15446376 15510204 15834072 16909101 16994934 17377173 17813331 17903754 17994636 18446292 18539928 18783556 18861174 18956916 19053144 19531368 20666679 20857419 21771849 21882366 21972789 22431602 22545468 22659912 22753548 22936119 23052546 23169564 23751108 23871672 25148232 25492401 26855631 26991954 27555572 27669438 27809892 28175334 28291761 28435374 29029132 29176488 29297052 29445768 30581492 30736728 31020408 32823549 33647403 33818202 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179879016438 180792107892 183924738261 184858366374 188718387132 189498215178 190460135052 194437126136 196231654296 199819468728 200645169012 218741766903 219852131202 220760611083 224796902319 231608929662 232784609508 238627382076 239838688584 245232984348 246477821832 252664286904 267351048437 269818524657 271188161838 283077580698 284247322767 285690202578 291655689204 293136174936 294347481444 299729203092 300967753518 308811906216 329778196803 347413394493 349176914262 357941073114 359758032876 361584215784 367849476522 369716732748 377436774264 378996430356 380920270104 401290338024 424616371047 437483533806 439704262404 441521222166 449593804638 463217859324 465569219016 477254764152 490465968696 523765371393 534702096874 536911609671 539637049314 542376323676 551774214783 566155161396 568494645534 571380405156 583311378408 588694962888 599458406184 601935507036 656225300709 659556393606 674390706957 694826788986 698353828524 715882146228 719516065752 735698953044 739433465496 757992860712 802053145311 809455573971 849232742094 852741968301 874967067612 879408524808 883042444332 899187609276 926435718648 989334590409 1042240183479 1047530742786 1069404193748 1073823219342 1079274098628 1084752647352 1103548429566 1132310322792 1136989291068 1142760810312 1203871014072 1273849113141 1312450601418 1319112787212 1348781413914 1389653577972 1396707657048 1431764292456 1471397906088 1571296114179 1604106290622 1610734829013 1618911147942 1655322644349 1698465484188 1705483936602 1749934135224 1766084888664 1798375218552 1968675902127 1978669180818 2023172120871 2084480366958 2095061485572 2138808387496 2147646438684 2158548197256 2207096859132 2273978582136 2406159435933 2428366721913 2547698226282 2558225904903 2624901202836 2638225574424 2697562827828 2779307155944 2968003771227 3126720550437 3142592228358 3208212581244 3221469658026 3237822295884 3310645288698 3396930968376 3410967873204 3821547339423 3937351804254 3957338361636 4046344241742 4168960733916 4190122971144 4295292877368 4414193718264 4812318871866 4832204487039 4856733443826 5095396452564 5116451809806 5249802405672 5395125655656 5906027706381 5936007542454 6069516362613 6253441100874 6285184456716 6416425162488 6442939316052 6475644591768 6621290577396 6821935746408 7218478307799 7643094678846 7874703608508 7914676723272 8092688483484 8337921467832 8904011313681 9380161651311 9624637743732 9664408974078 9713466887652 10190792905128 10232903619612 11464642018269 11812055412762 11872015084908 12139032725226 12506882201748 12570368913432 12885878632104 13242581154792 14436956615598 14496613461117 15286189357692 15749407217016 16185376966968 17718083119143 17808022627362 18208549087839 18760323302622 19249275487464 19328817948156 19426933775304 20465807239224 21655434923397 22929284036538 23624110825524 23744030169816 24278065450452 25013764403496 26712033941043 28140484953933 28873913231196 28993226922234 30572378715384 34393926054807 35436166238286 35616045254724 36417098175678 37520646605244 38657635896312 43310869846794 43489840383351 45858568073076 47248221651048 48556130900904 53154249357429 53424067882086 56280969907866 57747826462392 57986453844468 64966304770191 68787852109614 70872332476572 71232090509448 72834196351356 75041293210488 86621739693588 86979680766702 91717136146152 103181778164421 106308498714858 106848135764172 112561939815732 115972907688936 129932609540382 137575704219228 141744664953144 145668392702712 159462748072287 173243479387176 173959361533404 194898914310573 206363556328842 212616997429716 213696271528344 225123879631464 259865219080764 275151408438456 309545334493263 318925496144574 347918723066808 389797828621146 412727112657684 425233994859432 478388244216861 519730438161528 584696742931719 619090668986526 637850992289148 779595657242292 825454225315368 956776488433722 1169393485863438 1238181337973052 1275701984578296 1559191314484584 1754090228795157 1913552976867444 2338786971726876 2476362675946104 3508180457590314 3827105953734888 4677573943453752 5262270686385471 7016360915180628 10524541372770942 14032721830361256 21049082745541884 42098165491083768
- Sum of all divisors σ(n): 138952160933770800
- Sum of proper divisors (its aliquot sum) s(n): 96853995442687032
- 42098165491083768 is an abundant number, because the sum of its proper divisors (96853995442687032) is greater than itself. Its abundance is 54755829951603264
Bases of 42098165491083768
- Binary: 100101011001000000001110111101111100101010101001111110002
- Hexadecimal: 0x95900EF7CAA9F8
- Base-36: BIIJY8MYVI0
Squares and roots of 42098165491083768
- 42098165491083768 squared (420981654910837682) is 1772255537714676229334707193077824
- 42098165491083768 cubed (420981654910837683) is 74608706919202090143899655242597234146321327160832
-
The
square root of 42098165491083768 is 205178374.8134382899 -
The
cube root of 42098165491083768 is 347873.2679499221
Scales and comparisons
How big is 42098165491083768?- 42,098,165,491,083,768 seconds is equal to 1,338,591,444 years, 22 weeks, 6 days, 10 hours, 22 minutes, 48 seconds.
-
To count from 1 to 42,098,165,491,083,768 would take you about four billion, fifteen million, seven hundred seventy-four thousand, three hundred thirty-three 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 42098165491083768 cubic inches would be around 28989.4 feet tall.
Recreational maths with 42098165491083768
- 42098165491083768 backwards is 86738019456189024
- 42098165491083768 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42098165491083768's digits is 81
- More coming soon!
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"Number 42098165491083768 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 42098165491083768 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/42098165491083768/
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The information we have on file for 42098165491083768 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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