13395444328448
13,395,444,328,448 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13395444328448 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13395444328448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13395444328448:
211 × 7 × 132 × 23 × 37 × 73 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 23 × 37 × 73 × 89)See below for interesting mathematical facts about the number 13395444328448 from the Numbermatics database.
Names of 13395444328448
- Cardinal: 13395444328448 can be written as Thirteen trillion, three hundred ninety-five billion, four hundred forty-four million, three hundred twenty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.3395444328448 × 1013
Factors of 13395444328448
Divisors of 13395444328448
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 37 46 52 56 64 73 74 89 91 92 104 112 128 146 148 161 169 178 182 184 208 224 256 259 292 296 299 322 338 356 364 368 416 448 481 511 512 518 584 592 598 623 644 676 712 728 736 832 851 896 949 962 1022 1024 1036 1157 1168 1183 1184 1196 1246 1288 1352 1424 1456 1472 1664 1679 1702 1792 1898 1924 2044 2047 2048 2072 2093 2314 2336 2366 2368 2392 2492 2576 2701 2704 2848 2912 2944 3293 3328 3358 3367 3404 3584 3796 3848 3887 4088 4094 4144 4186 4628 4672 4732 4736 4784 4984 5152 5402 5408 5696 5824 5888 5957 6253 6497 6586 6643 6656 6716 6734 6808 7168 7592 7696 7774 8099 8176 8188 8288 8372 9256 9344 9464 9472 9568 9968 10304 10804 10816 11063 11392 11648 11753 11776 11914 12337 12506 12994 13172 13286 13312 13432 13468 13616 14329 14336 15041 15184 15392 15548 16198 16352 16376 16576 16744 18512 18688 18907 18928 18944 19136 19936 20608 21608 21632 21827 22126 22784 23051 23296 23506 23552 23828 24674 25012 25988 26344 26572 26611 26624 26864 26936 27209 27232 28658 30082 30368 30784 31096 32396 32704 32752 33152 33488 35113 37024 37376 37814 37856 37888 38272 39872 41216 42809 43216 43264 43654 43771 44252 45479 45568 46102 46592 47012 47104 47656 49348 50024 51976 52688 53144 53222 53728 53872 54418 54464 57316 60164 60736 61568 62123 62192 64792 65408 65504 66304 66976 70226 74048 74752 75628 75712 75739 75776 76544 77441 79744 82432 84461 85618 86359 86432 86528 87308 87542 88504 90958 91136 92204 93184 94024 95312 98696 100048 103952 105287 105376 106288 106444 107456 107744 108836 108928 114632 120328 121472 123136 124246 124384 129584 130816 131008 132608 133952 140452 143819 148096 149431 149504 151256 151424 151478 152789 153088 154882 159488 164864 168922 171236 172718 172864 173056 174616 175084 177008 181916 182272 184408 186277 186368 188048 190624 197392 200096 207904 210574 210752 212576 212888 214912 215488 217672 217856 229264 240389 240656 242944 245791 246272 248492 248768 259168 261632 262016 265216 267904 280904 283751 287638 296192 298862 299663 302512 302848 302956 305578 306176 309764 318976 329728 337844 342472 345436 345728 345943 346112 349232 350168 354016 363832 368816 372554 376096 381248 394784 400192 415808 421148 421504 425152 425776 429824 430976 434861 435344 435712 456469 458528 480778 481312 485888 491582 492544 496984 497536 518336 523264 524032 530173 530432 535808 556517 561808 567502 575276 591227 592384 597724 599326 605024 605696 605912 611156 612352 619528 637952 675688 684944 690872 691456 691886 698464 700336 708032 727664 737632 745108 752192 762496 789568 800384 807599 831616 842296 843008 850304 851552 859648 861952 869722 870688 871424 912938 917056 961556 962624 971776 983164 984607 985088 993968 995072 1006733 1036672 1046017 1046528 1048064 1060346 1071616 1097993 1113034 1123616 1135004 1150552 1182454 1184768 1195448 1198652 1210048 1211392 1211824 1222312 1239056 1275904 1351376 1369888 1381744 1382912 1383772 1396928 1400672 1416064 1455328 1475264 1490216 1504384 1524992 1579136 1600768 1615198 1663232 1682723 1684592 1686016 1700608 1703104 1719296 1723904 1739444 1741376 1742848 1825876 1834112 1923112 1925248 1942603 1943552 1966328 1969214 1986257 1987936 1990144 2013466 2073344 2092034 2096128 2120692 2143232 2195986 2226068 2247232 2270008 2301104 2364908 2369536 2390896 2397304 2420096 2421601 2422784 2423648 2444624 2478112 2702752 2739776 2763488 2765824 2767544 2793856 2801344 2832128 2910656 2950528 2980432 3008768 3049984 3125057 3158272 3195283 3201536 3230396 3326464 3365446 3369184 3372032 3401216 3406208 3438592 3447808 3478888 3482752 3651752 3668224 3846224 3850496 3885206 3895619 3932656 3938428 3972514 3975872 3980288 4026932 4146688 4184068 4192256 4241384 4286464 4391972 4452136 4494464 4540016 4602208 4729816 4781792 4794608 4840192 4843202 4847296 4889248 4956224 5405504 5479552 5526976 5528947 5531648 5535088 5587712 5602688 5653193 5664256 5821312 5901056 5960864 6017536 6099968 6250114 6316544 6390566 6403072 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25266176 25562264 25599782 25843168 26923568 26953472 27196442 27249664 27568996 27831104 27862016 29214016 29345792 30743804 30769792 30803968 31081648 31164952 31461248 31507424 31780112 31806976 32215456 33472544 33931072 35135776 35617088 35955712 36320128 36817664 37838528 38254336 38356864 38702629 38721536 38745616 38778368 39113984 39649792 40625741 41995148 43244032 43750798 43836416 44215808 44231576 44280704 44701696 44821504 45225544 46570496 47208448 47686912 50000912 50507678 51124528 51199564 51686336 53847136 53906944 54392884 54499328 55137992 55662208 55724032 58428032 61487608 61539584 62163296 62329904 62922496 63014848 63560224 63613952 64430912 66945088 67862144 70271552 71234176 71876311 71911424 72640256 73491509 73635328 75677056 76508672 76713728 77405258 77491232 77556736 78227968 79299584 81251482 83990296 86488064 87501596 87672832 88431616 88463152 88561408 89599237 89643008 90451088 93140992 95373824 100001824 101015356 102249056 102399128 103372672 107694272 107813888 108785768 110275984 111324416 116856064 122975216 123079168 124326592 124659808 125844992 126029696 127120448 127227904 128861824 133890176 135724288 140543104 142468352 143752622 145280512 146983018 147270656 151354112 153017344 153427456 154810516 154982464 155113472 156455936 158599168 162502964 167980592 172976128 175003192 176776873 176863232 176926304 177122816 179198474 180902176 190747648 200003648 202030712 204498112 204798256 206745344 215388544 215627776 217571536 220551968 222648832 233712128 245950432 246158336 248653184 249319616 251689984 252059392 254240896 257723648 267780352 271448576 281086208 284380187 284936704 287505244 290561024 293966036 294541312 302708224 306034688 306854912 309621032 309964928 312911872 325005928 335961184 350006384 353553746 353852608 354245632 358396948 361804352 381495296 400007296 404061424 408996224 409596512 413490688 430777088 435143072 441103936 445297664 467424256 491900864 492316672 497306368 498639232 503134177 503379968 504118784 508481792 515447296 535560704 542897152 562172416 568760374 569873408 575010488 581122048 587932072 605416448 613709824 619242064 619929856 650011856 671922368 700012768 707107492 707705216 708491264 716793896 723608704 800014592 808122848 817992448 819193024 826981376 861554176 870286144 882207872 890595328 934392043 934848512 983801728 994612736 997278464 1006268354 1008237568 1016963584 1030894592 1071121408 1085794304 1124344832 1137520748 1139746816 1150020976 1175864144 1210832896 1238484128 1239859712 1300023712 1343844736 1400025536 1414214984 1415410432 1433587792 1447217408 1600029184 1616245696 1635984896 1638386048 1653962752 1723108352 1740572288 1764415744 1868784086 1967603456 1989225472 1994556928 2012536708 2016475136 2033927168 2061789184 2142242816 2248689664 2275041496 2300041952 2351728288 2476968256 2479719424 2600047424 2687689472 2800051072 2828429968 2830820864 2867175584 2894434816 3200058368 3232491392 3271969792 3276772096 3446216704 3481144576 3528831488 3737568172 3935206912 3978450944 3989113856 4025073416 4067854336 4550082992 4600083904 4703456576 4953936512 4959438848 5200094848 5375378944 5600102144 5656859936 5661641728 5734351168 5788869632 6400116736 6464982784 6540744301 6543939584 6553544192 6962289152 7057662976 7475136344 7870413824 7978227712 8050146832 9100165984 9200167808 9406913152 9907873024 10400189696 10750757888 11200204288 11313719872 11323283456 11468702336 11577739264 12929965568 13081488602 13107088384 13924578304 14115325952 14950272688 15740827648 16100293664 18200331968 18400335616 18813826304 19815746048 20800379392 21501515776 22400408576 22627439744 22937404672 25859931136 26162977204 26214176768 27849156608 29900545376 32200587328 36400663936 36800671232 37627652608 39631492096 41600758784 44800817152 45254879488 45874809344 51719862272 52325954408 59801090752 64401174656 72801327872 73601342464 75255305216 79262984192 83201517568 90509758976 91749618688 104651908816 119602181504 128802349312 145602655744 147202684928 150510610432 181019517952 183499237376 209303817632 239204363008 257604698624 291205311488 362039035904 418607635264 478408726016 515209397248 582410622976 837215270528 956817452032 1030418794496 1674430541056 1913634904064 3348861082112 6697722164224 13395444328448
- Sum of all divisors σ(n): 36413636313600
- Sum of proper divisors (its aliquot sum) s(n): 23018191985152
- 13395444328448 is an abundant number, because the sum of its proper divisors (23018191985152) is greater than itself. Its abundance is 9622747656704
Bases of 13395444328448
- Binary: 110000101110110111101011001101101000000000002
- Hexadecimal: 0xC2EDEB36800
- Base-36: 4QXS5OY68
Squares and roots of 13395444328448
- 13395444328448 squared (133954443284482) is 179437928756549689702088704
- 13395444328448 cubed (133954443284483) is 2403650785070379825852938400736206651392
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The
square root of 13395444328448 is 3659978.7333327499 -
The
cube root of 13395444328448 is 23749.3853674797
Scales and comparisons
How big is 13395444328448?- 13,395,444,328,448 seconds is equal to 425,933 years, 36 weeks, 21 hours, 54 minutes, 8 seconds.
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To count from 1 to 13,395,444,328,448 would take you about one million, sixty-four thousand, eight hundred thirty-four 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 13395444328448 cubic inches would be around 1979.1 feet tall.
Recreational maths with 13395444328448
- 13395444328448 backwards is 84482344459331
- The number of decimal digits it has is: 14
- The sum of 13395444328448's digits is 62
- More coming soon!
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The information we have on file for 13395444328448 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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