42408227901312
42,408,227,901,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42408227901312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
42408227901312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 42408227901312:
27 × 36 × 7 × 13 × 113 × 193 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 113 × 193 × 229)See below for interesting mathematical facts about the number 42408227901312 from the Numbermatics database.
Names of 42408227901312
- Cardinal: 42408227901312 can be written as Forty-two trillion, four hundred eight billion, two hundred twenty-seven million, nine hundred one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.2408227901312 × 1013
Factors of 42408227901312
Divisors of 42408227901312
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 113 117 126 128 144 156 162 168 182 189 192 193 208 216 224 226 229 234 243 252 273 288 312 324 336 339 351 364 378 384 386 416 432 448 452 458 468 486 504 546 567 576 579 624 648 672 678 687 702 728 729 756 772 791 819 832 864 896 904 916 936 972 1008 1017 1053 1092 1134 1152 1158 1248 1296 1344 1351 1356 1374 1404 1456 1458 1469 1512 1544 1582 1603 1638 1664 1701 1728 1737 1808 1832 1872 1944 2016 2034 2061 2106 2184 2268 2316 2373 2457 2496 2509 2592 2688 2702 2712 2748 2808 2912 2916 2938 2977 3024 3051 3088 3159 3164 3206 3276 3402 3456 3474 3616 3664 3744 3888 4032 4053 4068 4122 4212 4368 4407 4536 4632 4746 4809 4914 4992 5018 5103 5184 5211 5404 5424 5496 5616 5824 5832 5876 5954 6048 6102 6176 6183 6318 6328 6412 6552 6804 6948 7119 7232 7328 7371 7488 7527 7776 8064 8106 8136 8244 8424 8736 8814 8931 9072 9153 9264 9477 9492 9618 9828 10036 10206 10283 10368 10422 10808 10848 10992 11232 11648 11664 11752 11908 12096 12159 12204 12352 12366 12636 12656 12824 13104 13221 13608 13896 14238 14427 14464 14656 14742 14976 15054 15552 15633 16212 16272 16488 16848 17472 17563 17628 17862 18144 18306 18528 18549 18954 18984 19236 19656 20072 20412 20566 20839 20844 21357 21616 21696 21809 21984 22113 22464 22581 23328 23504 23816 24192 24318 24408 24704 24732 25272 25312 25648 25877 26208 26442 26793 27216 27459 27792 28476 28854 29312 29484 30108 30849 31104 31266 32424 32544 32976 33696 34944 35126 35256 35724 36288 36477 36612 37056 37098 37908 37968 38472 39312 39663 40144 40824 41132 41678 41688 42714 43232 43281 43392 43618 43968 44197 44226 44928 45162 46656 46899 47008 47632 48636 48816 49464 50544 50624 51296 51754 52416 52689 52884 53586 54432 54918 55584 55647 56952 57708 58968 60216 61698 62517 62532 64071 64848 65088 65427 65952 66339 67392 67743 70252 70512 71448 72576 72954 73224 74112 74196 75816 75936 76944 77631 78624 79326 80288 80379 81648 82264 82377 83356 83376 85428 86464 86562 87236 87936 88394 88452 90324 92547 93312 93798 94016 95264 97272 97632 98928 101088 101248 102592 103508 104832 105378 105768 107172 108864 109431 109836 111168 111294 113904 115416 117936 118989 120432 123396 125034 125064 128142 129696 129843 130176 130854 131904 132591 132678 134784 135486 140504 140697 141024 142896 145908 146448 148392 151632 151872 152663 153888 155262 157248 158067 158652 160576 160758 163296 164528 164754 166712 166752 166941 170856 172928 173124 174472 176788 176904 180648 181139 185094 187551 187596 188032 190528 192213 194544 195264 196281 197856 202176 203229 205184 207016 210756 211536 214344 217728 218862 219672 222336 222588 227808 230832 232893 235872 237978 240864 241137 246792 250068 250128 256284 259392 259686 261708 263808 265182 265356 270972 277641 281008 281394 282048 283517 285792 291816 292896 296784 303264 303744 305326 307776 309379 310524 314496 316134 317304 321152 321516 326592 328293 329056 329508 333424 333504 333882 336401 341712 346248 348944 353576 353808 356967 361296 362278 370188 375102 375192 381056 384426 389088 389529 390528 392562 395712 397773 404352 406458 414032 421512 423072 428688 437724 439344 445176 455616 457989 461664 465786 471744 474201 475956 481728 482274 493584 500136 500256 512568 518784 519372 523416 530364 530712 541944 543417 555282 562016 562653 562788 564096 567034 571584 574561 576639 583632 585792 588843 593568 606528 609687 610652 615552 618758 621048 632268 634608 643032 653184 656586 658112 659016 666848 667008 667764 672802 683424 692496 697888 698679 707152 707616 713934 722592 723411 724556 740376 750204 750384 768852 778176 779058 785124 791424 795546 812916 828064 832923 843024 846144 850551 857376 875448 878688 890352 911232 915978 923328 928137 931572 943488 948402 951912 963456 964548 984879 987168 1000272 1000512 1009203 1025136 1038744 1046832 1060728 1061424 1070901 1083888 1086834 1110564 1124032 1125306 1125576 1134068 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352134216 356404608 359586792 367438032 372315528 381046848 381478734 386104992 387533952 389552358 395702496 400955184 402439104 404535141 409709664 413367786 418854969 419517924 428677704 434368116 435975696 445165308 451074582 452122944 454477751 458234496 469512288 479449056 479763648 482262417 486132192 489917376 490472658 496420704 508638312 508760352 514806656 515513808 519403144 527603328 528201324 534606912 539380188 546279552 551157048 558473292 559357232 571570272 572218101 579157488 581300928 584328537 593553744 601432776 603658656 626016384 629276886 639265408 643016556 648176256 651552174 653963544 661894272 678184416 678347136 687351744 704268432 719173584 734876064 744631056 762093696 762957468 772209984 779104716 791404992 801910368 804878208 809070282 819419328 826735572 837709938 839035848 857355408 868736232 871951392 890330616 902149164 904245888 908955502 939024576 943915329 958898112 959527296 964524834 972264384 977328261 979834752 980945316 992841408 1017276624 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13899779712 14023884888 14245289856 14434386624 14543288032 14563265076 15102645264 15432397344 15637252176 15695125056 15776870499 16361199036 16902442368 16990475922 17260166016 17871145344 18310979232 18698513184 19417686768 20136860352 20576529792 20849669568 21035827332 21814932048 22653967896 23148596016 23455878264 24414638976 24541798554 24931350912 25485713883 25890249024 26455538304 26806718016 27466468848 28047769776 28868773248 29086576064 29126530152 30205290528 30864794688 31274504352 31390250112 31553740998 32722398072 33980951844 36621958464 36812697831 37397026368 38835373536 40273720704 41699339136 42071654664 43629864096 45307935792 46297192032 46911756528 47330611497 49083597108 50971427766 51780498048 53613436032 54932937696 56095539552 58173152128 58253060304 60410581056 61729589376 62549008704 63107481996 65444796144 67961903688 73243916928 73625395662 74794052736 77670747072 84143309328 87259728192 90615871584 92594384064 93823513056 94661222994 98167194216 101942855532 109865875392 110438093493 112191079104 116506120608 120821162112 125098017408 126214963992 130889592288 135923807376 147250791324 155341494144 168286618656 174519456384 181231743168 185188768128 187647026112 189322445988 196334388432 203885711064 219731750784 220876186986 224382158208 233012241216 252429927984 261779184576 271847614752 294501582648 331314280479 336573237312 362463486336 375294052224 378644891976 392668776864 407771422128 441752373972 466024482432 504859855968 523558369152 543695229504 589003165296 662628560958 673146474624 757289783952 785337553728 815542844256 883504747944 1009719711936 1087390459008 1178006330592 1325257121916 1514579567904 1570675107456 1631085688512 1767009495888 2019439423872 2356012661184 2650514243832 3029159135808 3262171377024 3534018991776 4712025322368 5301028487664 6058318271616 7068037983552 10602056975328 14136075967104 21204113950656 42408227901312
- Sum of all divisors σ(n): 158786209814400
- Sum of proper divisors (its aliquot sum) s(n): 116377981913088
- 42408227901312 is an abundant number, because the sum of its proper divisors (116377981913088) is greater than itself. Its abundance is 73969754011776
Bases of 42408227901312
- Binary: 10011010010001111011110101110000001111100000002
- Hexadecimal: 0x2691EF5C0F80
- Base-36: F162JY000
Squares and roots of 42408227901312
- 42408227901312 squared (424082279013122) is 1798457793729617600011321344
- 42408227901312 cubed (424082279013123) is 76269407987376390786504416427701151203328
-
The
square root of 42408227901312 is 6512160.0027419473 -
The
cube root of 42408227901312 is 34872.5234542915
Scales and comparisons
How big is 42408227901312?- 42,408,227,901,312 seconds is equal to 1,348,450 years, 24 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 42,408,227,901,312 would take you about three million, three hundred seventy-one thousand, one hundred twenty-six 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 42408227901312 cubic inches would be around 2906 feet tall.
Recreational maths with 42408227901312
- 42408227901312 backwards is 21310972280424
- The number of decimal digits it has is: 14
- The sum of 42408227901312's digits is 45
- More coming soon!
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"Number 42408227901312 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 42408227901312 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/42408227901312/
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The information we have on file for 42408227901312 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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