3138003198013824
3,138,003,198,013,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3138003198013824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
3138003198013824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3138003198013824:
27 × 32 × 7 × 67 × 163 × 337 × 105733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 67 × 163 × 337 × 105733)See below for interesting mathematical facts about the number 3138003198013824 from the Numbermatics database.
Names of 3138003198013824
- Cardinal: 3138003198013824 can be written as Three quadrillion, one hundred thirty-eight trillion, three billion, one hundred ninety-eight million, thirteen thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 3.138003198013824 × 1015
Factors of 3138003198013824
Divisors of 3138003198013824
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 67 72 84 96 112 126 128 134 144 163 168 192 201 224 252 268 288 326 336 337 384 402 448 469 489 504 536 576 603 652 672 674 804 896 938 978 1008 1011 1072 1141 1152 1206 1304 1344 1348 1407 1467 1608 1876 1956 2016 2022 2144 2282 2359 2412 2608 2688 2696 2814 2934 3033 3216 3423 3752 3912 4032 4044 4221 4288 4564 4718 4824 5216 5392 5628 5868 6066 6432 6846 7077 7504 7824 8064 8088 8442 8576 9128 9436 9648 10269 10432 10784 10921 11256 11736 12132 12864 13692 14154 15008 15648 16176 16884 18256 18872 19296 20538 20864 21231 21568 21842 22512 22579 23472 24264 25728 27384 28308 30016 31296 32352 32763 33768 36512 37744 38592 41076 42462 43136 43684 45024 45158 46944 48528 54768 54931 56616 60032 62592 64704 65526 67536 67737 73024 75488 76447 77184 82152 84924 87368 90048 90316 93888 97056 98289 105733 109536 109862 113232 129408 131052 135072 135474 146048 150976 152894 158053 164304 164793 169848 174736 180096 180632 187776 194112 196578 203211 211466 219072 219724 226464 229341 262104 270144 270948 301952 305788 316106 317199 328608 329586 339696 349472 361264 384517 388224 393156 406422 422932 438144 439448 452928 458682 474159 494379 524208 540288 541896 611576 632212 634398 657216 659172 679392 688023 698944 722528 740131 769034 786312 812844 845864 878896 905856 917364 948318 951597 988758 1048416 1083792 1153551 1223152 1264424 1268796 1314432 1318344 1358784 1376046 1397888 1422477 1445056 1480262 1538068 1572624 1625688 1691728 1757792 1834728 1896636 1903194 1977516 2096832 2167584 2220393 2307102 2446304 2528848 2537592 2636688 2717568 2752092 2844954 2890112 2960524 3076136 3145248 3251376 3383456 3460653 3515584 3669456 3680377 3793272 3806388 3955032 4193664 4335168 4440786 4614204 4892608 5057696 5075184 5273376 5504184 5689908 5921048 6152272 6290496 6502752 6661179 6766912 6921306 7031168 7084111 7338912 7360754 7586544 7612776 7910064 8670336 8881572 9228408 9785216 10115392 10150368 10546752 11008368 11041131 11379816 11842096 12304544 12580992 13005504 13322358 13533824 13842612 14168222 14677824 14721508 15173088 15225552 15820128 17234479 17763144 18456816 20230784 20300736 21093504 21252333 22016736 22082262 22759632 23684192 24609088 25762639 26011008 26644716 27685224 28336444 29355648 29443016 30346176 30451104 31640256 33123393 34468958 35526288 35632021 36913632 40601472 42504666 44033472 44164524 45519264 47368384 49218176 49588777 51525278 51703437 53289432 55370448 56672888 58886032 60692352 60902208 63280512 63756999 66246786 68937916 71052576 71264042 73827264 77287917 85009332 88066944 88329048 91038528 94736768 99177554 103050556 103406874 106578864 106896063 110740896 113345776 117772064 120641353 121804416 127513998 132493572 137875832 142105152 142528084 147654528 148766331 154575834 155110311 170018664 176658096 182077056 198355108 206101112 206813748 213157728 213792126 221481792 226691552 231863751 235544128 241282706 249424147 255027996 264987144 275751664 284210304 285056168 297532662 309151668 310220622 320688189 340037328 353316192 361924059 396710216 412202224 413627496 426315456 427584252 442963584 446298993 453383104 463727502 471088256 482565412 498848294 510055992 529974288 551503328 570112336 595065324 618303336 620441244 641376378 680074656 706632384 723848118 748272441 793420432 824404448 827254992 852630912 855168504 892597986 906766208 927455004 965130824 997696588 1020111984 1059948576 1085772177 1103006656 1140224672 1154710093 1190130648 1236606672 1240882488 1282752756 1360149312 1413264768 1447696236 1496544882 1586840864 1648808896 1654509984 1710337008 1785195972 1854910008 1930261648 1995393176 2040223968 2119897152 2171544354 2206013312 2244817323 2280449344 2309420186 2380261296 2387345407 2473213344 2481764976 2565505512 2720298624 2895392472 2993089764 3173681728 3297617792 3309019968 3420674016 3464130279 3570391944 3709820016 3860523296 3990786352 4080447936 4239794304 4343088708 4489634646 4560898688 4618840372 4760522592 4774690814 4946426688 4963529952 5131011024 5790784944 5808019423 5986179528 6347363456 6618039936 6841348032 6928260558 7140783888 7162036221 7419640032 7721046592 7981572704 8082970651 8160895872 8686177416 8979269292 9237680744 9521045184 9549381628 9892853376 9927059904 10262022048 10392390837 11581569888 11616038846 11972359056 13682696064 13856521116 14281567776 14324072442 14839280064 15442093184 15963145408 16165941302 16711417849 17372354832 17424058269 17958538584 18475361488 19042090368 19098763256 19854119808 20524044096 20784781674 21486108663 23163139776 23232077692 23944718112 24248911953 27713042232 28563135552 28648144884 29678560128 31926290816 32331882604 33422835698 34744709664 34848116538 35917077168 36950722976 38197526512 40656135961 41048088192 41569563348 42972217326 46326279552 46464155384 47889436224 48497823906 50134253547 52272174807 55426084464 57126271104 57296289768 64663765208 66845671396 69489419328 69696233076 71834154336 72746735859 73901445952 76395053024 81312271922 83139126696 85944434652 92928310768 95778872448 96995647812 100268507094 104544349614 110852168928 114592579536 121968407883 129327530416 133691342792 138978838656 139392466152 143668308672 145493471718 147802891904 150402760641 152790106048 162624543844 166278253392 171888869304 185856621536 193991295624 200537014188 209088699228 221704337856 229185159072 243936815766 258655060832 267382685584 278784932304 287336617344 290986943436 300805521282 305580212096 325249087688 332556506784 343777738608 365905223649 371713243072 387982591248 389137301341 401074028376 418177398456 443408675712 458370318144 487873631532 517310121664 534765371168 557569864608 581973886872 601611042564 650498175376 665113013568 687555477216 731810447298 743426486144 775965182496 778274602682 802148056752 836354796912 916740636288 975747263064 1034620243328 1069530742336 1115139729216 1163947773744 1167411904023 1203222085128 1300996350752 1330226027136 1375110954432 1463620894596 1551930364992 1556549205364 1604296113504 1672709593824 1951494526128 2139061484672 2230279458432 2327895547488 2334823808046 2406444170256 2601992701504 2723961109387 2750221908864 2927241789192 3103860729984 3113098410728 3208592227008 3345419187648 3502235712069 3902989052256 4655791094976 4669647616092 4812888340512 5203985403008 5447922218774 5854483578384 6226196821456 6417184454016 6690838375296 7004471424138 7805978104512 8171883328161 9311582189952 9339295232184 9625776681024 10895844437548 11708967156768 12452393642912 14008942848276 15611956209024 16343766656322 18678590464368 19251553362048 21791688875096 23417934313536 24515649984483 24904787285824 28017885696552 32687533312644 37357180928736 43583377750192 46835868627072 49031299968966 49809574571648 56035771393104 65375066625288 74714361857472 87166755500384 98062599937932 112071542786208 130750133250576 149428723714944 174333511000768 196125199875864 224143085572416 261500266501152 348667022001536 392250399751728 448286171144832 523000533002304 784500799503456 1046001066004608 1569001599006912 3138003198013824
- Sum of all divisors σ(n): 10569577876615680
- Sum of proper divisors (its aliquot sum) s(n): 7431574678601856
- 3138003198013824 is an abundant number, because the sum of its proper divisors (7431574678601856) is greater than itself. Its abundance is 4293571480588032
Bases of 3138003198013824
- Binary: 10110010010111111111010011011110101111110001100000002
- Hexadecimal: 0xB25FF4DEBF180
- Base-36: UWBURN97K0
Squares and roots of 3138003198013824
- 3138003198013824 squared (31380031980138242) is 9847064070744986716418495102976
- 3138003198013824 cubed (31380031980138243) is 30900118545044792372302735435853796593551540224
-
The
square root of 3138003198013824 is 56017882.8412304781 -
The
cube root of 3138003198013824 is 146403.3880679135
Scales and comparisons
How big is 3138003198013824?- 3,138,003,198,013,824 seconds is equal to 99,778,795 years, 11 weeks, 1 day, 11 hours, 50 minutes, 24 seconds.
-
To count from 1 to 3,138,003,198,013,824 would take you about two hundred ninety-nine million, three hundred thirty-six thousand, three hundred eighty-five 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 3138003198013824 cubic inches would be around 12200.3 feet tall.
Recreational maths with 3138003198013824
- 3138003198013824 backwards is 4283108913008313
- The number of decimal digits it has is: 16
- The sum of 3138003198013824's digits is 54
- More coming soon!
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The information we have on file for 3138003198013824 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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