42675664416
42,675,664,416 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42675664416 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
42675664416 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42675664416:
25 × 3 × 7 × 11 × 31 × 43 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 31 × 43 × 61 × 71)See below for interesting mathematical facts about the number 42675664416 from the Numbermatics database.
Names of 42675664416
- Cardinal: 42675664416 can be written as Forty-two billion, six hundred seventy-five million, six hundred sixty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2675664416 × 1010
Factors of 42675664416
Divisors of 42675664416
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 43 44 48 56 61 62 66 71 77 84 86 88 93 96 112 122 124 129 132 142 154 168 172 176 183 186 213 217 224 231 244 248 258 264 284 301 308 336 341 344 352 366 372 426 427 434 462 473 488 496 497 516 528 568 602 616 651 671 672 682 688 732 744 781 852 854 868 903 924 946 976 992 994 1023 1032 1056 1136 1204 1232 1281 1302 1333 1342 1364 1376 1419 1464 1488 1491 1562 1704 1708 1736 1806 1848 1891 1892 1952 1988 2013 2046 2064 2201 2272 2343 2387 2408 2464 2562 2604 2623 2666 2684 2728 2838 2928 2976 2982 3053 3124 3311 3408 3416 3472 3612 3696 3782 3784 3976 3999 4026 4092 4128 4331 4402 4686 4697 4774 4816 5124 5208 5246 5332 5368 5456 5467 5673 5676 5856 5964 6106 6248 6603 6622 6816 6832 6944 7161 7224 7392 7564 7568 7869 7952 7998 8052 8184 8662 8804 9159 9331 9372 9394 9548 9632 9933 10248 10416 10492 10664 10736 10912 10934 11346 11352 11928 12212 12496 12993 13206 13237 13244 13664 14091 14322 14448 14663 15128 15136 15407 15738 15904 15996 16104 16368 16401 17324 17608 18318 18361 18662 18744 18788 19096 19866 20496 20801 20832 20984 21328 21371 21472 21868 22692 22704 23856 24211 24424 24992 25986 26412 26474 26488 27993 28182 28644 28853 28896 29326 30256 30317 30814 31476 31992 32208 32736 32802 33583 34648 35216 36636 36722 37324 37488 37576 38192 39711 39732 40992 41602 41968 42656 42742 43736 43989 45384 45408 46221 47641 47712 48422 48848 51972 52824 52948 52976 55083 55986 56364 57288 57706 58652 60512 60634 61628 62403 62952 63984 64113 64416 65604 67166 69296 70432 72633 73272 73444 74648 74976 75152 76384 79422 79464 81313 83204 83936 85484 86559 87472 87978 90768 90951 92442 94643 95282 96844 97696 100749 102641 103944 105648 105896 105952 110166 111972 112728 114576 115412 117304 121268 123256 124806 125904 127968 128226 131208 134261 134332 138592 142923 145266 145607 146544 146888 149296 150304 158844 158928 162626 166408 169477 170968 173118 174944 175956 181536 181902 184884 186233 189286 190564 193688 201498 201971 205282 207888 211296 211792 220332 223944 225456 229152 230824 234608 235081 242536 243939 246512 249612 251808 256452 262416 268522 268664 283929 285846 290532 291214 293088 293776 298592 307923 317688 317856 325252 332816 333487 338954 341936 346236 351912 363804 369768 372466 378572 381128 387376 402783 402996 403942 410564 415776 423584 436821 440664 447888 450912 461648 469216 470162 485072 487878 493024 499224 508431 512904 524832 537044 537328 558699 567858 569191 571692 581064 582428 587552 605913 615846 635376 650504 662501 665632 666974 677908 683872 692472 703824 705243 727608 739536 744932 757144 762256 774752 805566 805992 807884 821128 873642 881328 894443 895776 923296 939827 940324 970144 975756 998448 1000461 1016862 1025808 1041073 1074088 1074656 1117398 1135716 1138382 1143384 1162128 1164856 1211826 1231692 1270752 1301008 1303631 1325002 1333948 1355816 1384944 1407648 1410486 1455216 1476871 1479072 1489864 1514288 1524512 1611132 1611984 1615768 1642256 1707573 1747284 1762656 1788886 1879654 1880648 1951512 1987503 1996896 2000922 2033724 2048563 2051616 2082146 2148176 2234796 2271432 2276764 2286768 2324256 2329712 2423652 2463384 2602016 2607262 2650004 2667896 2683329 2711632 2769888 2819481 2820972 2910432 2953742 2979728 3028576 3123219 3222264 3223968 3231536 3284512 3415146 3494568 3577772 3759308 3761296 3903024 3910893 3975006 4001844 4067448 4097126 4164292 4296352 4430613 4469592 4542864 4553528 4573536 4659424 4847304 4926768 5214524 5300008 5335792 5366658 5423264 5638962 5641944 5773223 5907484 5959456 6145689 6246438 6261101 6444528 6463072 6830292 6989136 7155544 7287511 7518616 7522592 7806048 7821786 7950012 8003688 8134896 8194252 8328584 8861226 8939184 9085728 9107056 9694608 9853536 10338097 10429048 10600016 10671584 10733316 11277924 11283888 11546446 11814968 12291378 12492876 12522202 12889056 13660584 13978272 14311088 14339941 14575022 15037232 15643572 15900024 16007376 16269792 16388504 16657168 17319669 17722452 17878368 18214112 18783303 19389216 20676194 20858096 21200032 21466632 21862533 22555848 22567776 23092892 23629936 24582756 24985752 25044404 27321168 28622176 28679882 29150044 30074464 31014291 31287144 31800048 32014752 32777008 33314336 34639338 35444904 37566606 40412561 41352388 41716192 42933264 43019823 43725066 45111696 46185784 47259872 49165512 49971504 50088808 54642336 57359764 58300088 62028582 62574288 63505453 63600096 65554016 69278676 70889808 75133212 80825122 82704776 85866528 86039646 87450132 90223392 92371568 98331024 99943008 100177616 114719528 116600176 121237683 124057164 125148576 127010906 138557352 141779616 150266424 161650244 165409552 172079292 174900264 184743136 190516359 196662048 200355232 229439056 233200352 242475366 248114328 254021812 277114704 300532848 323300488 330819104 344158584 349800528 381032718 444538171 458878112 484950732 496228656 508043624 554229408 601065696 646600976 688317168 699601056 762065436 889076342 969901464 992457312 1016087248 1293201952 1333614513 1376634336 1524130872 1778152684 1939802928 2032174496 2667229026 3048261744 3556305368 3879605856 5334458052 6096523488 7112610736 10668916104 14225221472 21337832208 42675664416
- Sum of all divisors σ(n): 152054267904
- Sum of proper divisors (its aliquot sum) s(n): 109378603488
- 42675664416 is an abundant number, because the sum of its proper divisors (109378603488) is greater than itself. Its abundance is 66702939072
Bases of 42675664416
- Binary: 1001111011111010101011110110001000002
- Hexadecimal: 0x9EFAAF620
- Base-36: JLRZLEO
Squares and roots of 42675664416
- 42675664416 squared (426756644162) is 1821212333347048621056
- 42675664416 cubed (426756644163) is 77721446368198973016221407543296
-
The
square root of 42675664416 is 206580.8907329039 -
The
cube root of 42675664416 is 3494.5674747443
Scales and comparisons
How big is 42675664416?- 42,675,664,416 seconds is equal to 1,356 years, 49 weeks, 4 days, 7 hours, 13 minutes, 36 seconds.
-
To count from 1 to 42,675,664,416 would take you about two thousand, seven hundred thirteen 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 42675664416 cubic inches would be around 291.2 feet tall.
Recreational maths with 42675664416
- 42675664416 backwards is 61446657624
- The number of decimal digits it has is: 11
- The sum of 42675664416's digits is 51
- More coming soon!
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"Number 42675664416 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42675664416 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42675664416/
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The information we have on file for 42675664416 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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