4138313228013328
4,138,313,228,013,328 is an even composite number composed of seven prime numbers multiplied together.
4138313228013328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 4138313228013328:
24 × 73 × 13 × 232 × 892 × 109 × 127
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 23 × 23 × 89 × 89 × 109 × 127)See below for interesting mathematical facts about the number 4138313228013328 from the Numbermatics database.
Names of 4138313228013328
- Cardinal: 4138313228013328 can be written as Four quadrillion, one hundred thirty-eight trillion, three hundred thirteen billion, two hundred twenty-eight million, thirteen thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.138313228013328 × 1015
Factors of 4138313228013328
Divisors of 4138313228013328
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 89 91 92 98 104 109 112 127 161 178 182 184 196 208 218 254 299 322 343 356 364 368 392 436 508 529 598 623 637 644 686 712 728 763 784 872 889 1016 1058 1127 1157 1196 1246 1274 1288 1372 1417 1424 1456 1526 1651 1744 1778 2032 2047 2093 2116 2254 2314 2392 2492 2507 2548 2576 2744 2834 2921 3052 3302 3556 3703 4094 4186 4232 4361 4459 4508 4628 4784 4984 5014 5096 5341 5488 5668 5842 6104 6223 6604 6877 7112 7406 7889 7921 8099 8188 8372 8464 8722 8918 9016 9256 9701 9919 9968 10028 10192 10682 11303 11336 11557 11684 12208 12446 13208 13754 13843 14224 14329 14651 14812 15778 15842 16198 16376 16744 17444 17549 17836 18032 18512 19402 19838 20056 20447 21364 22606 22672 23114 23368 24892 25921 26416 26611 27508 27686 28658 29302 29624 30527 31556 31684 32396 32591 32752 33488 34888 35098 35672 37387 37973 38804 39676 40112 40894 42728 43561 45212 46228 46736 47081 48139 49784 51842 53222 55016 55372 55447 56693 57316 57661 58604 59248 61054 63112 63368 64792 65182 67183 67907 69433 69776 70196 71344 74774 75946 77608 79121 79352 80899 81788 85456 87122 90424 92456 94162 96278 96901 99568 100303 102557 102973 103684 106444 110032 110744 110894 113386 114632 115322 117208 122108 122843 126113 126224 126736 129584 130364 134366 135814 138866 140392 143129 146939 149548 151892 155216 158242 158704 161798 163576 174244 179959 180848 181447 182183 184912 186277 188324 192556 193802 200606 205114 205946 207368 212888 221488 221788 223123 226772 228137 229264 230644 234416 244216 245686 252226 259969 260728 265811 268732 271628 277732 280784 286258 293878 299096 303784 316484 318389 323596 327152 329567 336973 348488 359918 362894 364366 372554 376648 385112 387604 388129 396851 401212 403627 410228 411892 414736 425776 443576 446246 453544 456274 461288 470281 475349 486031 488432 491372 504452 519938 521456 531622 537464 543256 553847 555464 566293 572516 587756 598192 607568 612053 632968 636778 647192 659134 673946 678307 696976 702121 719836 720811 725788 728732 745108 749593 753296 770224 775208 776258 793702 802424 807254 820456 823784 859901 863389 873379 882791 887152 892492 907088 912548 922576 940562 950698 972062 982744 1001903 1005967 1008904 1028573 1039876 1063244 1074928 1086512 1107694 1110928 1132586 1145032 1175512 1224106 1232027 1259713 1265936 1273556 1275281 1294384 1303939 1318268 1347892 1356614 1404242 1439672 1441622 1451576 1457464 1490216 1499186 1550416 1552516 1561861 1587404 1596959 1604848 1614508 1640912 1647568 1719802 1726778 1746758 1765582 1784984 1819783 1825096 1860677 1881124 1901396 1944124 1965488 2003806 2011934 2017808 2057146 2079752 2126488 2215388 2228723 2265172 2290064 2306969 2351024 2358811 2368379 2448212 2464054 2519426 2547112 2550562 2607878 2636536 2695784 2713228 2716903 2808484 2825389 2879344 2883244 2900599 2903152 2914928 2980432 2998372 3105032 3123722 3174808 3193918 3229016 3291967 3327443 3379597 3439604 3453556 3493516 3531164 3569968 3639566 3650192 3721354 3762248 3802792 3876929 3888248 4007612 4023868 4114292 4139057 4159504 4190209 4252976 4284371 4430776 4457446 4530344 4613938 4717622 4736758 4748149 4896424 4928108 5038852 5045677 5094224 5101124 5131829 5215756 5247151 5273072 5391568 5426456 5433806 5616968 5650778 5766488 5801198 5979287 5996744 6043723 6113653 6179537 6210064 6247444 6349616 6387836 6458032 6583934 6654886 6759194 6879208 6907112 6987032 7041769 7062328 7200011 7279132 7322947 7442708 7524496 7605584 7753858 7776496 8015224 8047736 8228584 8278114 8380418 8568742 8624189 8817991 8861552 8914892 8926967 9060688 9127573 9227876 9435244 9473516 9496298 9792848 9856216 10077704 10091354 10202248 10263658 10431512 10494302 10852912 10867612 10933027 11178713 11224057 11233936 11301556 11532976 11602396 11958574 11993488 12087446 12227306 12359074 12494888 12738481 12775672 13024739 13077571 13167868 13309772 13518388 13758416 13814224 13974064 14083538 14124656 14400022 14558264 14645894 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22882825511 22995866992 23750104612 25299024478 25577035736 26075670607 26151800584 26661640733 27245103284 27672140236 28163477552 28913170832 29476845034 29800766408 30470446552 30798812408 31744294652 31935371867 32653020673 32785470497 32814327056 33687822896 33890598716 35307429766 35884854824 36100855154 36497567848 37317737912 37368283862 37610088229 38877844012 39912746692 40188333136 40351348304 41258120176 41562683071 42706610128 42982957976 43948867144 44759812538 45765651022 47500209224 48426245413 50598048956 51154071472 52151341214 52303601168 53323281466 54490206568 55344280472 58005063187 58953690068 59308547753 59601532816 60940893104 61597624816 63488589304 63870743734 65306041346 65570940994 67781197432 69847306711 70614859532 71769709648 72201710308 72995135696 74635475824 74736567724 75220176458 77755688024 79825493384 83125366142 85965915952 87897734288 88546585673 89519625076 91531302044 95000418448 96852490826 101196097912 103168957619 104302682428 106646562932 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754065821431 774819926608 812070884618 825351660952 830319668542 865032029267 894190412276 917993173916 928081010992 948936764048 977862293954 988608033448 1010823944312 1117556907376 1163755125988 1253274751064 1355934871564 1416745370768 1460237553992 1508131642862 1606488054353 1624141769236 1650703321904 1660639337084 1730064058534 1788380824552 1835986347832 1955724587908 1977216066896 2021647888624 2036571470479 2327510251976 2372886025237 2506549502128 2711869743128 2842248096163 2906118839897 2920475107984 3016263285724 3212976108706 3248283538472 3321278674168 3460128117068 3576761649104 3671972695664 3911449175816 4073142940958 4655020503952 4745772050474 5278460750017 5423739486256 5684496192326 5812237679794 6032526571448 6425952217412 6496567076944 6642557348336 6920256234136 7822898351632 8146285881916 9491544100948 10556921500034 11245416380471 11368992384652 11624475359588 12065053142896 12851904434824 13840512468272 16292571763832 18983088201896 19895736673141 21113843000068 22490832760942 22737984769304 23248950719176 25703808869648 32585143527664 36949225250119 37966176403792 39791473346282 42227686000136 44981665521884 45475969538608 46497901438352 73898450500238 79582946692564 84455372000272 89963331043768 147796901000476 159165893385128 179926662087536 258644576750833 295593802000952 318331786770256 517289153501666 591187604001904 1034578307003332 2069156614006664 4138313228013328
- Sum of all divisors σ(n): 10828398715904000
- Sum of proper divisors (its aliquot sum) s(n): 6690085487890672
- 4138313228013328 is an abundant number, because the sum of its proper divisors (6690085487890672) is greater than itself. Its abundance is 2551772259877344
Bases of 4138313228013328
- Binary: 11101011001111000110001000011110110011001111000100002
- Hexadecimal: 0xEB3C621ECCF10
- Base-36: 14QWQUNVLSG
Squares and roots of 4138313228013328
- 4138313228013328 squared (41383132280133282) is 17125636373150090861405745635584
- 4138313228013328 cubed (41383132280133283) is 70871247541153215522738656249941350482983063552
-
The
square root of 4138313228013328 is 64329722.7416170977 -
The
cube root of 4138313228013328 is 160549.0671175481
Scales and comparisons
How big is 4138313228013328?- 4,138,313,228,013,328 seconds is equal to 131,585,560 years, 2 days, 17 hours, 55 minutes, 28 seconds.
-
To count from 1 to 4,138,313,228,013,328 would take you about three hundred ninety-four million, seven hundred fifty-six thousand, six hundred eighty 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 4138313228013328 cubic inches would be around 13379.1 feet tall.
Recreational maths with 4138313228013328
- 4138313228013328 backwards is 8233108223138314
- 4138313228013328 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4138313228013328's digits is 52
- More coming soon!
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MLA style:
"Number 4138313228013328 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 4138313228013328 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/4138313228013328/
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The information we have on file for 4138313228013328 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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